Warm-up

Warm-up

Agenda

Homework Review Section 5-6

Thursday – Review (bring books) Friday – Chapter 5 Test

5-4 Study Guide

5-4 Study Guide

5-4 Practice

5-4 Practice

5-5 Triangle Inequalities

If two sides of a triangle are 5 and 12 what are the possible values for the size of the third side?

512

?

5

12

?

7 < X < 17

5-5 Study Guide

5-5 Practice

5-5 Practice

Inequalities Involving TwoTriangles

Inequalities Involving TwoTriangles

Inequalities Involving TwoTriangles

Inequalities Involving TwoTriangles

Given:

mP > mR

Prove: m2 > m1

QRPQ

1.

2.

3.

4.

5.

1.

2.

3.

4.

5.

Given:

mP > mR

Prove: m2 > m1

QRPQ

QRPQ 1.

SQSQ 2.

RmPm 3.

4. SPSR

5. 12 mm

1. Given

2. Reflexive property

3. Given

4. Larger implies larger side

5. SSS Inequality

Given: Points A, B and C are on line l Point P is not on l

PB < PC

Prove: mPCB 90

P

A B C

1.

2.

3.

4.

l

Given: Points A, B and C are on line l Point P is not on l

PB < PC

Prove: mPCB 90

P

A B C

1. Assume PCB = 90

2. Then PC l

3. PC < PB (Contradiction)

4. PCB 90

l

Practice Quiz

Answers Ahead

5-6 Study Guide

5-6 Practice

5-6 Practice

5-6 Practice

Homework

Study Guide & Practice 5-6 Practice Quiz 5-3