# 5-6: Inequalities Involving 2 Triangles - PowerPoint PPT Presentation

1 / 10

5-6: Inequalities Involving 2 Triangles. Expectation: G1.2.2 Construct and justify arguments and solve problems involving angle measure, side length, perimeter and area of all types of triangles. In the triangles below, 2 pairs of corresponding sides are congruent. Compare the third sides. x.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

5-6: Inequalities Involving 2 Triangles

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

### 5-6: Inequalities Involving 2 Triangles

• 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

### SAS Inequality (Hinge Theorem)

• 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.

### SSS Inequality

• 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

E

8

D

10

10

9

6

C

8

A

B

9

### In ΔABC and ΔDEF below (not drawn to scale) AB, BC, DE and EF are all 12 units long. If m∠A = 30° and m∠F = 50°, compare AC and DF.

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)