AD
« Back

STEPCAI

Geometry: Practice Questions with Answers

Curriculum: GeometryGrades: 9–10Questions: 12Mode: Practice

These are the real questions from this STEPCAI practice lesson. Read each question, pick your answer, then open Show the answer to check yourself and read why it is right. On STEPCAI the same lesson runs interactively: you click an answer and get instant feedback, and a free account keeps your scores.

Practice this lesson free with instant feedback

Free. New visitors accept the Software License Agreement first.

1. What is the sum of the interior angles of any triangle?

  1. 270 degrees
  2. 90 degrees
  3. 180 degrees
  4. 360 degrees
Show the answer
Answer: C. 180 degrees
The three interior angles of any triangle always add up to 180 degrees, no matter the triangle's shape or size.

2. What do we call an angle that measures exactly 90 degrees?

  1. An acute angle
  2. A straight angle
  3. An obtuse angle
  4. A right angle
Show the answer
Answer: D. A right angle
A right angle measures exactly 90 degrees and is often marked with a small square symbol in diagrams.

3. A rectangle has a length of 8 units and a width of 5 units. What is its perimeter?

  1. 13 units
  2. 20 units
  3. 26 units
  4. 40 units
Show the answer
Answer: C. 26 units
Perimeter of a rectangle equals 2 times (length plus width), so 2 times (8 plus 5) equals 26 units.

4. A rectangle has a length of 6 units and a width of 4 units. What is its area?

  1. 20 square units
  2. 10 square units
  3. 48 square units
  4. 24 square units
Show the answer
Answer: D. 24 square units
The area of a rectangle is found by multiplying length by width: 6 times 4 equals 24 square units.

5. Which formula gives the area of a triangle with base b and height h?

  1. A = 2 times b times h
  2. A = (1/2) times b times h
  3. A = b plus h
  4. A = b times h
Show the answer
Answer: B. A = (1/2) times b times h
The area of a triangle is one-half the base times the height, because a triangle is exactly half of a parallelogram with the same base and height.

6. What is the name for a polygon with exactly 5 sides?

  1. Octagon
  2. Pentagon
  3. Hexagon
  4. Quadrilateral
Show the answer
Answer: B. Pentagon
A pentagon is a polygon with exactly 5 sides and 5 angles.

7. Which of the following describes an acute angle?

  1. An angle equal to 180 degrees
  2. An angle less than 90 degrees
  3. An angle equal to 90 degrees
  4. An angle greater than 90 degrees
Show the answer
Answer: B. An angle less than 90 degrees
An acute angle is any angle that measures less than 90 degrees, making it smaller and sharper than a right angle.

8. Two angles are complementary if their measures add up to what?

  1. 360 degrees
  2. 45 degrees
  3. 180 degrees
  4. 90 degrees
Show the answer
Answer: D. 90 degrees
Complementary angles are two angles whose measures sum to exactly 90 degrees.

9. In a circle, what do we call the distance from the center to any point on the circle?

  1. Diameter
  2. Radius
  3. Chord
  4. Circumference
Show the answer
Answer: B. Radius
The radius is the distance from the center of a circle to any point on its edge.

10. What is true about two lines that are parallel?

  1. They overlap completely
  2. They always form a right angle
  3. They cross at exactly one point
  4. They never meet and stay the same distance apart
Show the answer
Answer: D. They never meet and stay the same distance apart
Parallel lines lie in the same plane, never intersect, and always remain the same distance apart from each other.

11. Two figures that have exactly the same size and shape are called what?

  1. Parallel
  2. Similar
  3. Congruent
  4. Symmetrical
Show the answer
Answer: C. Congruent
Congruent figures are identical in both size and shape; if you placed one on top of the other, they would match up exactly.

12. In a right triangle, what is the name of the side opposite the right angle?

  1. Base
  2. Leg
  3. Altitude
  4. Hypotenuse
Show the answer
Answer: D. Hypotenuse
The hypotenuse is the longest side of a right triangle and is always located opposite the right angle.
Practice this lesson free with instant feedback

Free. New visitors accept the Software License Agreement first.

More free sample lessons

AD
AD