Day 2 Trapezoids. Concept 1 Example 1A Use Properties of Isosceles Trapezoids A. BASKET Each side of the basket shown is an isosceles trapezoid. If m.

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Presentation transcript:

Day 2 Trapezoids

Concept 1

Example 1A Use Properties of Isosceles Trapezoids A. BASKET Each side of the basket shown is an isosceles trapezoid. If m  JML = 130, KN = 6.7 feet, and MN= 3.6 feet, find m  MJK.

Example 1A Use Properties of Isosceles Trapezoids Since JKLM is a trapezoid, JK║LM. m  JML + m  MJK=180Consecutive Interior Angles Theorem m  MJK =180Substitution m  MJK=50Subtract 130 from each side. Answer: m  MJK = 50

Example 1B Use Properties of Isosceles Trapezoids B. BASKET Each side of the basket shown is an isosceles trapezoid. If m  JML = 130, KN = 6.7 feet, and MN is 10.3 feet, find JL.

Example 1B Use Properties of Isosceles Trapezoids JL=KMDefinition of congruent JL=KN + MNSegment Addition JL= Substitution JL=10.3Add. Answer: JL= 10.3 Since JKLM is an isosceles trapezoid, diagonals JL and KM are congruent.

Example 1A A.124 B.62 C.56 D.112 A. Each side of the basket shown is an isosceles trapezoid. If m  FGH = 124, FI = 9.8 feet, and IG = 4.3 feet, find m  EFG.

Example 1B A.4.3 ft B.8.6 ft C.9.8 ft D.14.1 ft B. Each side of the basket shown is an isosceles trapezoid. If m  FGH = 124, FI = 9.8 feet, and EG = 14.1 feet, find IH.

Concept 3

Example 3 In the figure, MN is the midsegment of trapezoid FGJK. What is the value of x? Midsegment of a Trapezoid

Example 3 Read the Item You are given the measure of the midsegment of a trapezoid and the measures of one of its bases. You are asked to find the measure of the other base. Solve the Item Trapezoid Midsegment Theorem Substitution Midsegment of a Trapezoid

Example 3 Multiply each side by 2. Subtract 20 from each side. Answer: x = 40 Midsegment of a Trapezoid

Example 3 A.XY = 32 B.XY = 25 C.XY = 21.5 D.XY = 11 WXYZ is an isosceles trapezoid with median Find XY if JK = 18 and WZ = 25.

Homework: Page – 11 and