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STEP 1

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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STEP 1

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  1. STEP 1 STEP 3 STEP 2

  2. STEP 4

  3. STEP 5

  4. STEP 6

  5. STEP 7 A D B B D C

  6. 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).

  7. 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.

  8. 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.

  9. 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.

  10. 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.

  11. 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.

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