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STEP 1. STEP 3. STEP 2. STEP 4. STEP 5. STEP 6. STEP 7. A. D. B. B. D. C. Quadrilateral ADCB is called a parallelogram. A. B. D. C.

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Presentation Transcript
slide1

STEP

1

STEP

3

STEP

2

slide5

STEP 7

A

D

B

B

D

C

slide6

Quadrilateral ADCB is called a parallelogram.

A

B

D

C

Remember the pairs of sides that are colored the same and the pairs of angles that are colored the same are congruent because they are corresponding parts of congruent triangles. (CPCTC).

slide7

All Parallelograms have 5 interesting characteristics that we can conclude…

A

B

D

If ADCB is a parallelogram, then AD || BC and BA || CD.

C

Definition of a Parallelogram – A quadrilateral with two pairs of parallel sides.

Property 1 – Opposite Sides of a Parallelogram are Parallel.

slide8

All Parallelograms have 5 interesting characteristics that we can conclude…

A

B

D

If ADCB is a parallelogram, then AD @ BC and BA @ CD.

C

Property 2 – Opposite Sides of a Parallelogram are Congruent.

slide9

All Parallelograms have 5 interesting characteristics that we can conclude…

A

B

D

If ADCB is a parallelogram, then ÐA @ÐC and ÐABC @ÐADC.

C

Property 3 – Opposite Angles of a Parallelogram are Congruent.

slide10

All Parallelograms have 5 interesting characteristics that we can conclude…

A

M

B

D

C

If ADCB is a parallelogram, then…

AC bisects BD  M is the midpoint of BD  BM = DM

BD bisects AC  M is the midpoint of AC  AM = CM

Property 4 – Diagonals of a Parallelogram bisect one another.

slide11

All Parallelograms have 5 interesting characteristics that we can conclude…

A

Because AB || CD, what can you conclude about ÐBAD and ÐCDA?

B

D

If ADCB is a parallelogram, then…

ÐBAD and ÐCDA are supplementary

ÐABC and ÐBCD are supplementary.

C

Property 5 – Consecutive Angles of a Parallelogram are Supplementary.