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Sections 6-7 Triangles - FSQ Review Worksheet
1. Find the value of x and y.
2. What is the measure of each angle?
3. Segment TU is the midsegment of ΔYOL.
⅃
Write an equation to show how to find the value of x, and solve it.
4. Given the graph below, find the value of x given the midsegment equals 3(x+5).
M
90
3(x+5)
E
W
5. WX is the the angle bisector of ∠ TWY and ∠YXT. If Jason stated
∠TWX was congruent to ∠YWX, What would be his reasoning?
A.
B.
C.
D.
Corresponding angles are congruent
Reflexive property of congruence
Definition of angle bisector
Alternate interior angles are congruent
6. Is it possible to prove that the triangles are congruent? If so, state the
postulate or theorem you would use.
7. △TWX is a reflection of △YWX. Based on the reflection, which is the
best way to prove the triangles congruent?
A.
B.
C.
D.
SAS
ASA
SSA
HL
8. Two sides of a triangle are given. Write an inequality for the possible lengths of the third side.
i) 11, 13
ii) 15, 6
iii) 18, 10
iv) 9, 3
9. Tell whether each set of side lengths can be used to create a triangle. Circle Yes or No for each
set.
i) 20, 8 and 12
Yes
No
ii) 9, 3 and 7
Yes
No
iii) 6, 11 and 3
Yes
No
iv) 10, 10 and 6
Yes
No
10. Name the largest and smallest angle in 𝛥𝑹𝑺𝑻 given the following information. Draw a
diagram to support your answer.
Given: ST = 7, RT = 14, RS = 9
Largest Angle:
Smallest Angle:
12. Name the longest and shortest side in the triangle shown below.
Longest Side:
Shortest Side:
Draw and find the area of the figure.
13. A(3,1) B(7,-3) C(5,-6) D(1,-2)
14.
15.
16.
17.
18.
17.
19.
20.
21.
22. There are three light posts at the vertices of a triangular park. You want one more placed near
the center so that it is the same distance from each edge of the park. Where should you place the
light post?
23. Find the perimeter of the following figure. Leave answer in radical form.