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Week 2. Warm Up. 01.11.12. Use < > or = to fill in the blanks. Ex 1. Given:. ABCD and AEFG are parallelograms. Prove:. ∠ 1 ≅ ∠ 3. ABCD and AEFG are. Opposite ∠’s of a are ≅. Opposite ∠’s of a are ≅. Given. ∠ 1 ≅ ∠ 2. ∠ 2 ≅ ∠ 3. ∠ 1 ≅ ∠ 3.

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Presentation Transcript
slide1

Week 2

Warm Up

01.11.12

Use < > or = to fill in the blanks.

slide2

Ex 1

Given:

ABCD and AEFG are parallelograms.

Prove:

∠1 ≅∠ 3

ABCD and AEFG are

Opposite ∠’s of a are ≅.

Opposite ∠’s of a are ≅.

Given

∠1 ≅∠ 2

∠2 ≅∠ 3

∠1 ≅∠ 3

Transitive Property of Equality

slide3

A

B

Prove: ∠A ≅ ∠C

Ex 2

∠B ≅ ∠D

C

D

ABCD is a

Given

Opposite sides of ≅

AD ≅ BC

Opposite sides of ≅

AB ≅ DC

BD ≅ BD

Reflexive Property of Congruence

ΔABD ≅ ΔCBD

SSS

∠A ≅ ∠C

CPCSC

∠B ≅ ∠D

CPCSC

slide4

Ex 3

4k - 2

m + 14

4m - 7 = m + 14

4k - 2 = k + 28

4m - 7

k + 28

3m = 21

3k = 30

m = 7

k = 10

slide5

Q

A parallelogram that is a quadrilateral has _________ angles that are supplementary.

R

Review

Do 1:

What is the value of f and g?

S

P

2f - 5

f + 2

f + 2

g

5f - 17

Assignment:

Handout – 6.2B