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5-6: Inequalities Involving 2 Triangles

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- Expectation:
- G1.2.2 Construct and justify arguments and solve problems involving angle measure, side length, perimeter and area of all types of triangles.

x

2.17

2.17

y

82°

32°

2.67

2.67

- If two sides of one triangle are congruent to 2 sides of a second triangle, but the included angle of the first is greater than the included angle of the second, then the 3rd side of the first is _______________ than the 3rd side of the second.

- If two sides of one triangle are congruent to 2 sides of a second triangle, but the third side of the first is longer than the third side of the second, then the included angle between the pair of congruent sides of the first is ______________ than the included angle between the pair of congruent sides of the second.

E

8

D

10

10

9

6

C

8

A

B

9

a. m∠ADB and m∠DBC

E

8

D

10

10

9

6

C

8

A

B

9

b. m∠EAD and m∠BCD

B

E

- AC = DF
- AC > DF
- AC < DF
- not enough information given to determine an answer.

A

D

C

F

Given : QC bisects PD and m∠PCQ > m∠DCQ

Prove: m∠D > m∠P

P

C

D

Q

Assignment:

pages 277,

# 15 - 29 (odds)