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Bell Ringer

2. 3. 1. Bell Ringer . Properties of Parallelograms . Parallelogram. Parallelogram – is a quadrilateral with both pairs of opposite sides parallel. . Example 1. Find Side Lengths of Parallelograms. FGHJ is a parallelogram. Find JH and FJ . SOLUTION. JH = FG.

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Bell Ringer

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  1. 2. 3. 1. Bell Ringer

  2. Properties of Parallelograms

  3. Parallelogram • Parallelogram – is a quadrilateral with both pairs of opposite sides parallel.

  4. Example 1 Find Side Lengths of Parallelograms FGHJ is a parallelogram. Find JH and FJ. SOLUTION JH=FG Opposite sides of a are congruent. Opposite sides of a are congruent. =5 Substitute 5 for FG. FJ=GH =3 Substitute 3 for GH. ANSWER In FGHJ, JH =5 and FJ = 3.

  5. Now You Try  Find Side Lengths of Parallelograms 1. ABCD is a parallelogram. Find AB and AD. AB = 9; AD = 8 ANSWER

  6. Example 2 Find Angle Measures of Parallelograms PQRS is a parallelogram. Find the missing angle measures. SOLUTION By Theorem 6.3, the opposite angles of a parallelogram are congruent, so mR = mP =70°. 1. 2. By Theorem 6.4, the consecutive angles of a parallelogram are supplementary. mQ + mP =180° mQ + 70°=180° Substitute 70° for mP. Consecutive angles of a are supplementary. mQ=110° Subtract 70° from each side.

  7. Example 2 Find Angle Measures of Parallelograms The measure of R is70°, the measure ofQ is110°, and the measure of S is110°. ANSWER By Theorem 6.3, the opposite angles of a parallelogram are congruent, so mS = mQ =110°. 3.

  8. Find Angle Measures of Parallelograms Now You Try  ABCD is a parallelogram. Find the missing angle measures. 2. ANSWER mB=120° mC=60° mD =120° 3. ANSWER mA=75° mB=105° mC =75°

  9. Example 3 Find Segment Lengths TUVW is a parallelogram. Find TX. SOLUTION TX= XV Diagonals of a bisect each other. =3 Substitute 3 for XV.

  10. Now You Try 

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  17. Complete Page 313#s 14-36 even only

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