Geometry Exam!

Geometry Quarter Exam Name: ____________________________ Student Number: ____________________ Answer the questions below. Make sure to show your work and provide complete geometric explanations for full

credit.

1. Solve each proportion. Show your work.

a. 2𝑥

7 =

12

14

b. 3

𝑥−1 =

5

7

2. The figures in each pair are similar. Find the value of each variable. Show your work.

a.

b.

c.

Geometry Quarter Exam Name: ____________________________ Student Number: ____________________ Answer the questions below. Make sure to show your work and provide complete geometric explanations for full

credit.

3. Determine whether the triangles are similar. If so, write a similarity statement and name the

postulate or the theorem you used. If not, explain.

a.

b.

Geometry Quarter Exam Name: ____________________________ Student Number: ____________________ Answer the questions below. Make sure to show your work and provide complete geometric explanations for full

credit.

4. Find the value of each variable for the right triangles. Make sure all answers are in reduced

radical form. Show your work.

a.

b.

c.

5. Given the following triangle side lengths, identify the triangle as acute, right or obtuse. Show

your work.

a. 3in, 4in, 5 in

b. 5in, 6in, 7in

c. 8in, 9in, 12in

Geometry Quarter Exam Name: ____________________________ Student Number: ____________________ Answer the questions below. Make sure to show your work and provide complete geometric explanations for full

credit.

6. Find the missing value. Show your work.

a.

b.

c.

d.

Geometry Quarter Exam Name: ____________________________ Student Number: ____________________ Answer the questions below. Make sure to show your work and provide complete geometric explanations for full

credit.

7. Given the vertices of ∆ABC are A (2,5), B (4,6) and C (3,1), find the vertices following each of the

transformations FROM THE ORIGINAL vertices:

a. Rx-axis

b. Ry = 3

c. T<-2,5>

d. T<3,-6>

e. r(90◦, o)

8. Find the congruence transformation that maps ∆ABC to ∆A’B’C’. Explain your reasoning

Geometry Quarter Exam Name: ____________________________ Student Number: ____________________ Answer the questions below. Make sure to show your work and provide complete geometric explanations for full

credit.

9. Find the area of each figure to the nearest tenth. Show your work

a.

b.

c.

Geometry Quarter Exam Name: ____________________________ Student Number: ____________________ Answer the questions below. Make sure to show your work and provide complete geometric explanations for full

credit.

10. Find the measure of each arc AB. Please make sure to show your steps.

, Where <APB = 108◦

11. Find the area of each regular polygon. Round your answer to the nearest tenth. Show your

work.

a. Octagon with side lengths 5in.

b. Hexagon with radius 5in

12. Find the surface area of each figure to the nearest tenth. Show your work.

a.

Geometry Quarter Exam Name: ____________________________ Student Number: ____________________ Answer the questions below. Make sure to show your work and provide complete geometric explanations for full

credit.

b.

c.

d.

e. What is a real-world example or use of surface area?

Geometry Quarter Exam Name: ____________________________ Student Number: ____________________ Answer the questions below. Make sure to show your work and provide complete geometric explanations for full

credit. 13. Find the surface area of each figure to the nearest tenth. Show your work.

a.

b.

14. Find the volume of each figure to the nearest tenth. Show your work.

a.

b.

Geometry Quarter Exam Name: ____________________________ Student Number: ____________________ Answer the questions below. Make sure to show your work and provide complete geometric explanations for full

credit.

c.

15. Write the standard equation of each circle

a.

b.

Geometry Quarter Exam Name: ____________________________ Student Number: ____________________ Answer the questions below. Make sure to show your work and provide complete geometric explanations for full

credit.

c.

16. Solve for x. Show your work.

a.

b.

17. Evaluate. Show your work.

a. 6!

b. 6P5

c. 12C3

Geometry Quarter Exam Name: ____________________________ Student Number: ____________________ Answer the questions below. Make sure to show your work and provide complete geometric explanations for full

credit.

18. Use the spinner to find each theoretical probability

a. P (an even number)

b. P (a number greater than 3)

c. P (an odd number)

19. You roll two standard number cubes. What is the probability that the sum is odd, given than one

of the number cubes shows a 1? Show your work.

20. What is the area of the figure. Show your work.