Digital SAT Math Geometry Practice Test – Basic To Advance

SAT Geometry Test For Practice

SAT Geometry Test For Practice is a very useful and authentic source to practice the SAT exam. 360 Exam Solution provides so, many practice tests for the SAT. This will give the proper structure, environment, and question pattern that comes in the actual SAT. Candidate must explore the below test:

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Geometry Practice Test 1 [Calculator]

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1) A triangle has sides 5, 12, and 13. What is the area of this triangle?

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2) A parallelogram with vertices (1, 2), (3, 4), (5, 2), and (3, 0) is rotated 90° clockwise about the origin. What are the new coordinates?

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3) A quadrilateral with vertices (1, 1), (1, 4), (3, 4), and (3, 1) is rotated 180° about the origin. What are the new coordinates of the vertices?

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4) Which of the following describes the transformation that maps the graph of y=x² to y=(x−3)²+2?

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5) A line segment has endpoints (2, 5) and (6, 7). After a reflection over y=3, what are the new endpoints?

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6) A point at (2, -5) is reflected over the line y=−x. What are the coordinates of the reflected point?

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7) What transformation maps y=∣x∣ to y=∣x+4∣−2?

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8) A circle with a center at (4, -3) and radius 5 is translated 2 units right and 4 units up. What is the equation of the new circle?

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9) Which transformation maps the graph of y=2x+1 to y=2(x−3)+4?

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10) In a 30°-60°-90° triangle, if the longer leg is 12, what is the length of the shorter leg?

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11) A dilation centered at the origin with a scale factor of ¾ is applied to a triangle with vertices (8, 12), (4, 6), and (16, 20). What are the new vertices?

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12) A square is reflected over y=−x. If one vertex of the square is at (4, -2), where is the reflected vertex?

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13) A circle with a center at (4, -3) and radius 5 is translated 2 units right and 4 units up. What is the equation of the new circle?

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14) After a dilation with a scale factor of ½, the coordinates of a triangle's vertices are scaled to (3, 2), (5, 1), and (7, 4). What were the original coordinates of the vertices?

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15) What transformation maps y=∣x∣ to y=∣x+4∣−2?

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16) What type of triangle has side lengths 9, 12, and 15?

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17) What transformation maps y=x² to y=−x²+4?

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18) What is the perimeter of a 30°-60°-90° triangle if the shorter leg is 5?

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19) A triangle has vertices (2, 3), (4, 7), and (5, 1). If it undergoes the transformation T(x,y)=(3x,2y), what are the new vertices?

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20) What transformation maps y=x² to y=−x²+4?

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21) A circle centered at (3, -2) with radius 4 is reflected over the x-axis. What is the equation of the reflected circle?

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22) A triangle has sides 6, 8, and 10. Which type of triangle is it?

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23) If the base of a triangle is 14 and its area is 56, what is the height?

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24) A triangle undergoes the transformation T(x,y)=(x+2,y−3). If one vertex of the triangle is at (4, 6), where is it after the transformation?

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25) A rectangle with vertices at (2, 3), (2, 7), (5, 7), and (5, 3) is reflected over the line y=5. What are the new coordinates of the vertices?

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26) A triangle has vertices (2, 3), (4, 7), and (5, 1). If it undergoes the transformation T(x,y)=(3x,2y), what are the new vertices?

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27) A square is reflected over y=−x. If one vertex of the square is at (4, -2), where is the reflected vertex?

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28) If a figure is reflected over the line y=x, what happens to the coordinates of each point?

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29) What is the height of an equilateral triangle with a side length of 12?

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30) A point (7, -5) is rotated 270° counterclockwise around the origin. What are the new coordinates?

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31) A square has vertices at (1, 1), (1, 3), (3, 3), and (3, 1). What is the result after reflecting the square over the line x=2?

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32) A point at (2, -5) is reflected over the line y=−x. What are the coordinates of the reflected point?

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33) Which of the following satisfies the triangle inequality theorem?

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34) If a figure is reflected over the line y=x, what happens to the coordinates of each point?

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35) If a dilation centered at the origin with a scale factor of 2 is applied to a triangle with vertices (3, -4), (-1, 2), and (0, 5), what are the new vertices?

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36) In a triangle, the base is 10, the height is 6, and one side is 8. What is the area of the triangle?

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37) Which of the following describes the transformation that maps the graph of y=x² to y=(x−3)²+2?

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38) A rectangle with vertices at (2, 3), (2, 7), (5, 7), and (5, 3) is reflected over the line y=5. What are the new coordinates of the vertices?

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39) After a dilation with a scale factor of ½, the coordinates of a triangle's vertices are scaled to (3, 2), (5, 1), and (7, 4). What were the original coordinates of the vertices?

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40) Which transformation maps the graph of y=2x+1 to y=2(x−3)+4?

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41) What is the perimeter of an equilateral triangle with a side length of 6√3?

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42) A dilation centered at the origin with a scale factor of ¾ is applied to a triangle with vertices (8, 12), (4, 6), and (16, 20). What are the new vertices?

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43) In a triangle, two sides are 8 and 15. Which of the following cannot be the length of the third side?

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44) Which transformation maps y=∣x∣ to y=−∣x−2∣+3?

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45) A square has vertices at (1, 1), (1, 3), (3, 3), and (3, 1). What is the result after reflecting the square over the line x=2?

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46) Find the length of the diagonal of a square with a side length of 4.

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47) In a 45°-45°-90° triangle, if one leg is 8, find the hypotenuse.

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48) A triangle has angles 50°, 60°, and 70°. Which type of triangle is it?

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49) A quadrilateral with vertices (1, 1), (1, 4), (3, 4), and (3, 1) is rotated 180° about the origin. What are the new coordinates of the vertices?

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50) If a dilation centered at the origin with a scale factor of 2 is applied to a triangle with vertices (3, -4), (-1, 2), and (0, 5), what are the new vertices?

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Geometry Practice Test 1 [No Calculator]

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1 / 50

1) A rectangle has a diagonal of 13 units and one side of 12 units. What is the length of the other side?

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2) A rectangular prism has a length of 10 units, a width of 6 units, and a height of 4 units. What is its diagonal?

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3) A sphere has a radius of 6 units. What is its volume? (Use π = 3.14)

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4) A cone has a slant height of 10 units and a radius of 7 units. What is its lateral surface area? (Use π = 3.14)

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5) A rectangle has an area of 48 square units and a perimeter of 32 units. What are its dimensions?

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6) The surface area of a sphere is 144π. What is the radius of the sphere?

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7) The diagonal of a square is 10√2 units. What is the area of the square?

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8) A cylinder has a height of 12 units and a radius of 5 units. What is its total surface area? (Use π = 3.14)

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9) The area of a circle is 154 square units. What is its radius? (Use π = 3.14)

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10) A rectangular prism has dimensions of 8 units, 3 units, and 5 units. What is its surface area?

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11) A triangle has sides measuring 13 units, 14 units, and 15 units. What is its area?

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12) The area of a square is 81 square units. What is the length of its diagonal?

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13) A sphere has a volume of (500/3)π. What is its radius?

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14) The height of a cone is 8 units, and the radius of its base is 6 units. What is its volume? (Use π = 3.14)

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15) A cone has a height of 6 units and a base radius of 4 units. What is its lateral surface area? (Use π = 3.14)

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16) The perimeter of a square is 64 units. What is its area?

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17) A rectangle has an area of 50 square units and a length of 10 units. What is its width?

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18) A cone has a base radius of 5 units and a slant height of 13 units. What is its lateral surface area? (Use π = 3.14)

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19) A rectangle has a diagonal of 17 units and a width of 8 units. What is its length?

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20) The area of a parallelogram is 96 square units, and its base is 12 units. What is its height?

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21) A cone has a radius of 4 units and a height of 9 units. What is its volume? (Use π = 3.14)

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22) A circle has a radius of 3 units. What is its area? (Use π = 3.14)

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23) The side length of a cube is 15 units. What is its surface area?

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24) A right triangle has a hypotenuse of 13 units and one leg of 12 units. What is the length of the other leg?

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25) The radius of a circle is halved. How does its area change?

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26) A triangle has sides of lengths 9 units, 12 units, and 15 units. What is its area?

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27) A circle has a diameter of 14 units. What is its area? (Use π = 3.14)

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28) A cylinder has a base radius of 5 units and a height of 10 units. What is its volume? (Use π = 3.14)

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29) A cone has a volume of 48π cubic units and a height of 4 units. What is the radius of its base?

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30) The height of a parallelogram is 8 units, and its base is 10 units. What is its area?

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31) The height of a rectangular prism is doubled, and its base dimensions remain the same. How does the volume change?

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32) A square's perimeter is 48 units. What is its area?

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33) A cube has a surface area of 150 square units. What is the length of each side?

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34) A sphere has a surface area of 324π. What is its radius?

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35) A rectangular prism has a surface area of 236 square units, with dimensions 4 units, 6 units, and h units. If h = 5, confirm its surface area.

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36) A cylinder has a base radius of 3 units and a height of 5 units. What is its total surface area? (Use π = 3.14)

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37) The perimeter of an equilateral triangle is 45 units. What is its area?

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38) A triangle has a base of 10 units and a height of 12 units. What is its area?

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39) The diameter of a circle is 18 units. What is its area? (Use π = 3.14)

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40) The dimensions of a rectangular prism are 4 units, 5 units, and 6 units. What is its surface area?

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41) The side length of a square is doubled. How does the area change?

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42) The radius of a circle is tripled. How does the area change?

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43) A square has a diagonal of 12 units. What is its area?

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44) A sphere has a surface area of 452.16 square units. What is its radius? (Use π = 3.14)

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45) A cylinder has a radius of 6 units and a height of 7 units. What is its volume? (Use π = 3.14)

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46) A trapezoid has bases of 10 units and 14 units, with a height of 6 units. What is its area?

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47) The length, width, and height of a rectangular prism are doubled. By what factor does the volume increase?

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48) The radius of a circle is 6 units. What is its circumference? (Use π = 3.14)

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49) A rectangle has a length of 14 units and a width of 9 units. What is its diagonal?

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50) The area of an equilateral triangle is 16√3. What is the length of its side?

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SAG Geometry Topics

Geometry consists of the different topics in the math section. Dimensional measurement this topic is absolute to the length and width of the subject of angles in this topic you need to understand the angles of triangles, squares, and other shapes. Principle of the triangles this topic consists of the different triangles and the relationship of their angles.

Circle in this topic you need to measure and understand the parameter, area, and diameter of the circle. Coordinate-system this topic consists of making the shapes on the graphs and understanding their qualities. The movement of shapes means rotating the shape from one place to another place. 3D Shapes, these shapes are those that expand in different directions such as cube cones and the sphere.

SAT Geometry Questions

The structure of the SAT Geometry Questions is according to the angles, structure, and measurement. Students have to know how to solve the circle, square, and three-dimensional shapes problems. This section is a collection of the calculated perimeter, area, volume, and angles topics. If you understand the formulas and rules, you can easily solve this problem without any difficulty.

sat geometry practice

SAT Geometry Formulas

Some formulas are very important in the SAT section of geometry. Learning this formula is very important to solving the questions.

  • Square Area: side = side × side
  • Square Perimeter: 4 × side
  • Rectangle Area: length × width
  • Rectangle Perimeter: 2 × (length + width)
  • Triangle Area: 1/2 × base × height
  • Circle Area: π × r²
  • Circle Circumference: 2 × π × r
  • Cube Volume: Side³
  • Sphere Volume: (4/3) × π × r³
  • Cone Volume: (4/3) × π × r³

SAT Geometry Cheat Sheet for Practice

For attaining success in the geometry section, understanding the rules and formulas is very important. This cheat sheet is a collection of the different formulas. You can attain good results by learning this formula. This cheat sheet plays an important role in saving you time. The formulas of the square, rectangle, triangle, and circle are present in this sheet.

SAT Geometry Questions and Answers PDF

This PDF provides questions and answers for the practice of the geometry section. There are different types of questions present in this PDF, such as angles, circles, rectangles, etc. The fundamental purpose of this PDF is to provide a practice test of the fundamental concepts and methods. This PDF helps the student in the preparation better.

sat geometry

FAQs

Does SAT have proofs for geometry?

No, there are no proofs for geometry in the SAT Geometry. It consists of the fundamental concepts of questions like angles, circles, and many other shapes.

Is Geometry on the SAT?

Yes, the geometry is present in the SAT in the section of the math.

What kind of geometry is on the SAT?

Like angles, lines, triangles, circles, volume, area, and trigonometry in the triangles, these kinds of questions about geometry are consistent.

Is SAT Geometry Easy?

Is SAT Geometry easy or difficult depending on the student’s preparation? If the student does practice with a good method, it is easy, but some questions may be difficult.

Is the SAT more geometry or algebra?

Algebra questions are more in the SAT. I think 35 percent questions in algebra are asked in the SAT 15 percent of the geometry questions are asked in the SAT.

How many geometry questions are on the SAT?

7 to 5 questions of the geometry questions are asked in the SAT.

Digital SAT Math Geometry Practice Test

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