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Bell Ringer. Trapezoid. A Trapezoid is a quadrilateral with exactly one pair of parallel sides. The Parallel sides are the bases The non parallel sides are the legs A trapezoid has two pairs of base angles Isosceles trapezoid- if the legs are congruent. Example 1.
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Trapezoid • A Trapezoid is a quadrilateral with exactly one pair of parallel sides. • The Parallel sides are the bases • The non parallel sides are the legs • A trapezoid has two pairs of base angles • Isosceles trapezoid- if the legs are congruent
Example 1 Find Angle Measures of Trapezoids PQRS is an isosceles trapezoid. Find the missing angle measures. SOLUTION 1. PQRS is an isosceles trapezoid and R and S are a pair of base angles. So, mR=mS = 50°. 2. Because S and P are same-side interior angles formed by parallel lines, they are supplementary. So, mP=180° – 50° = 130°. 3. Because Q and P are a pair of base angles of an isosceles trapezoid, mQ=mP = 130°.
Now You Try Find Angle Measures of Trapezoids ABCD is an isosceles trapezoid. Find the missing angle measures. 1. 2. mA = 80°;mB = 80°;mC = 100° mA = 110°;mB = 110°;mD = 70° mB = 75°;mC = 105°;mD = 105° ANSWER ANSWER ANSWER 3.
Example 2 Midsegment of a Trapezoid Find the length of the midsegmentDG of trapezoid CEFH. SOLUTION Use the formula for the midsegment of a trapezoid. 1 1 1 2 2 2 Formula for midsegment of a trapezoid (28) (EF + CH) (8 + 20) DG = = = Substitute 8 for EFand 20 for CH. Add. = 14 Multiply. The length of the midsegmentDG is 14. ANSWER
Now You Try Midsegment of a Trapezoid Find the length of the midsegmentMN of the trapezoid. 4. 5. 8 11 21 ANSWER ANSWER ANSWER 6.
Complete Pages 334-335#s 10-30 Even Only • Homelearning Page 336 #s 32-38 even only