1 / 19

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

Warm Up Solve for x. 1. x 2 + 38 = 3 x 2 – 12 2. 137 + x = 180 3. 4. Find FE. 5 or –5. 43. 156. Objectives. Use properties of kites to solve problems. Use properties of trapezoids to solve problems.

jakeem-barlow
Download Presentation

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

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Warm Up Solve for x. 1.x2 + 38 = 3x2 – 12 2. 137 + x = 180 3. 4. Find FE. 5 or –5 43 156

  2. Objectives Use properties of kites to solve problems. Use properties of trapezoids to solve problems.

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

  4. Example 1: Using Properties of Kites In kite ABCD, mDAB = 54°, and mCDF = 52°. Find mBCD. Find mFDA. Find mABC.

  5. 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.

  6. If the legs of a trapezoid are congruent, the trapezoid is an isosceles trapezoid. The following theorems state the properties of an isosceles trapezoid.

  7. Example 2: Using Properties of Isosceles Trapezoids Find mA.

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

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

  10. Example 5: Applying Conditions for Isosceles Trapezoids AD = 12x – 11, and BC = 9x – 2. Find the value of x so that ABCD is isosceles.

  11. Example 6 Find the value of x so that PQST is isosceles.

  12. The midsegment of a trapezoidis the segment whose endpoints are the midpoints of the legs.

  13. Example 7: Finding Lengths Using Midsegments Find EF.

  14. Example 8 Find EH.

  15. Lesson Quiz: 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 about 191.2 in. 81° 18°

  16. Lesson Quiz: 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. 119° 9.6 18

More Related