5.2.2 Inequalities in Two Triangles − Worksheet

Example 1: Compare the given measures. 1. AC and XZ

2. m ∠ SRT and m ∠ QRT Q

3. KL and KN

9

X

Y

8

A

119°

3

7

R

T

6

7

Z

4

111°

8

B

C

9

S

Find the range of values for x . 4. (2 x + 8)°

5.

6.

9

35°

64°

7

53°

x + 7

62°

2 x – 5

25°

8

5 x – 6

Example 2: 7. A therapist can take measurements to gauge the flexibility of a patient’s elbow joint. In which position is the angle measure at the elbow joint greater? Explain.

9 in.

15 in.

Example 3: 8. Write a two-column proof. Given: FH is a median of △ DFG . m ∠ DHF > m ∠ GHF Prove: DF > GF

F

G

H

D

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