Enhance Your Skills with Our ACT Geometry Practice Test/Quiz

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30 random questions |30 minutes | Questions are randomized every attempt. Good luck!

ACT Math - Geometry Practice Test

Test your ACT geometry skills with 30 random practice test questions covering shapes, angles, and measurements!

1 / 27

1. What is the perimeter of a square with side 9?

A) 27

B) 36

C) 18

D) 45

Perimeter = 4s = 4 × 9 = 36.

2 / 27

2. What is the area of an isosceles right triangle with legs of length 6?

A) 36

B) 12

C) 18

D) 24

A = ½ × 6 × 6 = 18.

3 / 27

3. What is the perimeter of a 30-60-90 triangle with hypotenuse 10?

A) 15+5√3

B) 10+5+5√3

C) 5+5√3+10

D) 20

Short leg=5, long leg=5√3. P=5+5√3+10=15+5√3. Same as 10+5+5√3.

4 / 27

4. What is the perimeter of a circle with radius 7?

A) 49π

B) 14π

C) 7π

D) 21π

C=2π(7)=14π.

5 / 27

5. What is the measure of an inscribed angle that intercepts a 100° arc?

A) 25°

B) 200°

C) 100°

D) 50°

Inscribed angle = ½ × intercepted arc = ½ × 100° = 50°.

6 / 27

6. A circle sector has area 25π and radius 10. What is the central angle?

A) 180°

B) 90°

C) 45°

D) 135°

(θ/360)π(100)=25π. θ/360=1/4. θ=90°.

7 / 27

7. A rhombus has side 10. What is its perimeter?

A) 50

B) 40

C) 20

D) 30

P=4×10=40.

8 / 27

8. What is the area of an isosceles triangle with equal sides 10 and base 12?

A) 48

B) 60

C) 64

D) 56

h=√(100-36)=8. A=½×12×8=48.

9 / 27

9. In a circle with radius 5, a chord is 6 units long. How far is it from the center?

A) 5

B) 4

C) 3

D) √34

d=√(5²-3²)=√(25-9)=4.

10 / 27

10. What is the slope of a line perpendicular to a horizontal line?

A) 0

B) -1

C) Undefined

D) 1

A horizontal line has slope 0. Perpendicular slope = -1/0 = undefined (vertical line).

11 / 27

11. Two angles are complementary. One is 35°. What is the other?

A) 75°

B) 55°

C) 45°

D) 65°

Complementary angles sum to 90°. 90° - 35° = 55°.

12 / 27

12. A circle has area 16π. What is its radius?

A) 8

B) 2

C) 16

D) 4

πr²=16π. r=4.

13 / 27

13. Two exterior angles of a triangle are 130° and 110°. What is the third interior angle?

A) 60°

B) 50°

C) 40°

D) 70°

Interior angles: 50 and 70. Third=180-50-70=60°.

14 / 27

14. What is the area of a right triangle with legs 7 and 24?

A) 42

B) 96

C) 168

D) 84

A=½×7×24=84.

15 / 27

15. What is the circumference of a circle with radius 9?

A) 9π

B) 16π

C) 81π

D) 18π

C = 2πr = 2π(9) = 18π.

16 / 27

16. What is the area of a triangle with base 20 and height 9?

A) 180

B) 45

C) 90

D) 100

A=½×20×9=90.

17 / 27

17. Two circles have radii 3 and 5 and are externally tangent. What is the distance between centers?

A) 15

B) 10

C) 8

D) 2

Distance=r₁+r₂=3+5=8.

18 / 27

18. What is the perimeter of a triangle with sides 7, 9, and 11?

A) 29

B) 27

C) 30

D) 28

P=7+9+11=27.

19 / 27

19. What is the area of a right triangle with hypotenuse 10 and one angle 30°?

A) 25√3/2

B) 12.5

C) 50

D) 25

Legs: 5 and 5√3. A=½×5×5√3=25√3/2.

20 / 27

20. What is the volume of a rectangular prism 3×4×5?

A) 47

B) 36

C) 20

D) 60

V = 3×4×5 = 60.

21 / 27

21. A right triangle has legs 3 and 4. What is the hypotenuse?

A) 25

B) 5

C) 6

D) 7

Explanation: c² = 3² + 4² = 9 + 16 = 25, so c = 5

22 / 27

22. A regular polygon has exterior angle 45°. How many sides?

A) 7

B) 8

C) 6

D) 9

n=360/45=8 sides.

23 / 27

23. A triangle has base 14 and height 9. What is its area?

A) 72

B) 126

C) 63

D) 56

A = ½ × 14 × 9 = 63.

24 / 27

24. What is the measure of each interior angle of a regular octagon?

A) 150°

B) 120°

C) 125°

D) 135°

(8-2)×180/8=1080/8=135°.

25 / 27

25. A rectangle has perimeter 30 and length 10. What is its width?

A) 6

B) 7

C) 5

D) 4

2(10+w) = 30 → 10+w = 15 → w = 5.

26 / 27

26. In triangle ABC, a=7, b=7, c=7. What type of triangle is it?

A) Right

B) Equilateral

C) Isosceles

D) Scalene

All sides equal→equilateral.

27 / 27

27. What is the number of vertices of a pentagonal prism?

A) 20

B) 10

C) 15

D) 5

2 pentagonal bases × 5 vertices each = 10.

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