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Solve for x. 1. x 2 + 38 = 3 x 2 – 12 2. 137 + x = 180 3. 4. Find FE .

Solve for x. 1. x 2 + 38 = 3 x 2 – 12 2. 137 + x = 180 3. 4. Find FE. A kite is a quadrilateral with exactly two pairs of congruent consecutive sides. Example 2B: Using Properties of Kites. In kite ABCD , m  DAB = 54° , and m  CDF = 52° . Find m  ABC .

cameron-bullock
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Solve for x. 1. x 2 + 38 = 3 x 2 – 12 2. 137 + x = 180 3. 4. Find FE .

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  1. Solve for x. 1.x2 + 38 = 3x2 – 12 2. 137 + x = 180 3. 4. Find FE.

  2. A kiteis a quadrilateral with exactly two pairs of congruent consecutive sides.

  3. Example 2B: Using Properties of Kites In kite ABCD, mDAB = 54°, and mCDF = 52°. Find mABC. Find mFDA.

  4. A trapezoidis a quadrilateral with exactly one pair of parallel sides. Each of the parallel sides is called a base. The nonparallel sides are called legs. Base anglesof a trapezoid are two consecutive angles whose common side is a base. If the legs of a trapezoid are congruent, the trapezoid is an isosceles trapezoid. The following theorems state the properties of an isosceles trapezoid.

  5. Example 3A: Using Properties of Isosceles Trapezoids Find mA.

  6. Example 3B: Using Properties of Isosceles Trapezoids KB = 21.9m and MF = 32.7. Find FB.

  7. Example 4A: Applying Conditions for Isosceles Trapezoids Find the value of a so that PQRS is isosceles.

  8. Example 4 Find the value of x so that PQST is isosceles.

  9. The midsegment of a trapezoidis the segment whose endpoints are the midpoints of the legs. The Trapezoid Midsegment Theorem is similar to the Triangle Midsegment Theorem.

  10. Example 5: Finding Lengths Using Midsegments Find EF.

  11. Example 5 Find EH.

  12. Lesson Review: Part II Use the diagram for Items 4 and 5. 4. mWZY = 61°. Find mWXY. 5.XV = 4.6, and WY = 14.2. Find VZ. 6. Find LP.

  13. Lesson Review: Part I 1. Erin is making a kite based on the pattern below. About how much binding does Erin need to cover the edges of the kite? In kite HJKL, mKLP = 72°, and mHJP = 49.5°. Find each measure. 2. mLHJ 3. mPKL

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