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Student Name:
Triangles Module Review
Answer each of the following problems. Make sure to show your work.
1. If angle MKL = 84 and angle M is 42, what is the measure of angle KLM?
2. What is the measure of angle 3?
Student Name:
Triangles Module Review
3. If the triangle below is obtuse and isosceles, which statements are true?
Statement I = The largest angle is over 90 degrees.
Statement II = Three sides of the triangle are equal.
Statement III = The largest angle is 90 degrees.
Statement IV = Two sides of the triangle are equal.
4. Without knowing the measures of any of the angles, what can you say is true about angles 2,
3, and 4 in the triangle below? Why?
Student Name:
Triangles Module Review
5. What is the length of the hypotenuse in this triangle?
6. Explain why a triangle with sides 15cm, 20cm, and 28cm is not a right triangle.
7. Show why the missing side is 40.
Student Name:
Triangles Module Review
8. Which statement is true about the missing side in the right triangle below?
Statement I = The missing side is between 21 and 72.
Statement II = The missing side is greater than 72.
Statement III = The missing side is less than 21.
9. What is the area of PQR?
Student Name:
Triangles Module Review
10. Use the Pythagorean Theorem to find the area of the triangle below.
11. If a = b, would the Pythagorean Theorem hold true? Prove your answer by using an example.
Student Name:
Triangles Module Review
12. Which triangle can the Pythagorean Theorem be applied to: obtuse, right, acute, scalene
triangle, and equilateral? Why?
13. If AB is congruent to BC, what is the value of the missing angle, A?
14. Draw an obtuse isosceles triangle.
15. Is it possible to have an isosceles right triangle? Explain your answer.
Student Name:
Triangles Module Review
16. Why couldn’t the triangle below be an isosceles triangle?
17. If M is a centroid and OM = 9, then what is MY and OY?
Student Name:
Triangles Module Review
18. If Y is a centroid in the triangle TUV, what is the relationship between YV and XY?
19. Given that C is a centroid, describe the relationship between CH and FH in the diagram
below if FH is 24
Student Name:
Triangles Module Review
20. What type of line segment is ST in the triangle SVU? Explain your answer.
21. What are the values of YZ and XZ in the diagram below?
22. How are x and y related in the triangle below?
Student Name:
Triangles Module Review
23. If CD = 16, BC = 10 and BD = 18. What are the sides of GF, GE and EF?
24. What is the value of a in the triangle below?
Student Name:
Triangles Module Review
25. Which is the largest angle in the triangle below?
26. Which inequality sign should be used to compare side AB to BC?
27. Give a triple combination of numbers that could represent the sides of a triangle. Use the
Triangle Inequality Theorem to explain why your answer is valid.
Student Name:
Triangles Module Review
28. Which side is the largest in triangle EFD?
29. According to the SSS Inequality Theorem, if m∠A is greater than m∠D, what is the
relationship between BC and EF?
30. What is the relationship between a and b in the triangles below?
Student Name:
Triangles Module Review
31. If AC > DF, what does the Hinge Theorem state about the angles in the two triangles?
32. Fill-in the blanks for the sentence below based on the diagram below.
ED is _____ BC, thus angle A is less than angle _______.
Student Name:
Triangles Module Review
33. What is the value of x in the diagram below? Show your work.
34. Use the leg rule to write a ratio using AC in the triangle below.
35. What is the geometric mean of 4 and 12? Show all work.
Student Name:
Triangles Module Review
36. What would SQ need to be if triangle SPQ is similar to triangle RST.
37. If x = 7 and y = 6, what can you say about z?
Student Name:
Triangles Module Review
38. What type of line segments are PX, YS and VZ? If M is a centroid, what is PM if MX is 4?
39. What is the value of y in the picture below?
Student Name:
Triangles Module Review
40. If the base of the pyramid in the photo is 230 meters, what is the length of AB?
