Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan...
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Transcript of Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan...
![Page 1: Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan FrantzOkemos High SchoolMath Instructor.](https://reader036.fdocuments.us/reader036/viewer/2022062304/56649e605503460f94b5ba04/html5/thumbnails/1.jpg)
Chapter 6: Polygons and Parallelograms
SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS
Megan Frantz Okemos High School Math Instructor
![Page 2: Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan FrantzOkemos High SchoolMath Instructor.](https://reader036.fdocuments.us/reader036/viewer/2022062304/56649e605503460f94b5ba04/html5/thumbnails/2.jpg)
I Can
Use properties of kites to solve problems
Use properties of trapezoids to solve
problems
![Page 3: Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan FrantzOkemos High SchoolMath Instructor.](https://reader036.fdocuments.us/reader036/viewer/2022062304/56649e605503460f94b5ba04/html5/thumbnails/3.jpg)
KitesA kite is a quadrilateral with exactly two pairs of congruent consecutive sides.
![Page 4: Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan FrantzOkemos High SchoolMath Instructor.](https://reader036.fdocuments.us/reader036/viewer/2022062304/56649e605503460f94b5ba04/html5/thumbnails/4.jpg)
Properties of Kites
![Page 5: Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan FrantzOkemos High SchoolMath Instructor.](https://reader036.fdocuments.us/reader036/viewer/2022062304/56649e605503460f94b5ba04/html5/thumbnails/5.jpg)
ExampleIn kite ABCD the mCDF = 52°. Find mBCD.
![Page 6: Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan FrantzOkemos High SchoolMath Instructor.](https://reader036.fdocuments.us/reader036/viewer/2022062304/56649e605503460f94b5ba04/html5/thumbnails/6.jpg)
ExampleIn kite ABCD, mDAB = 54°, and mCDF = 52°. Find mABC.
![Page 7: Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan FrantzOkemos High SchoolMath Instructor.](https://reader036.fdocuments.us/reader036/viewer/2022062304/56649e605503460f94b5ba04/html5/thumbnails/7.jpg)
ExampleIn kite PQRS, mPQR = 78°, and mTRS = 59°. Find mQRT.
![Page 8: Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan FrantzOkemos High SchoolMath Instructor.](https://reader036.fdocuments.us/reader036/viewer/2022062304/56649e605503460f94b5ba04/html5/thumbnails/8.jpg)
TrapezoidsA trapezoid is 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 angles of a trapezoid are two consecutive angles whose common side is a base.
![Page 9: Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan FrantzOkemos High SchoolMath Instructor.](https://reader036.fdocuments.us/reader036/viewer/2022062304/56649e605503460f94b5ba04/html5/thumbnails/9.jpg)
Isosceles TrapezoidsIf the legs of a trapezoid are congruent, the trapezoid is an
isosceles trapezoid
![Page 10: Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan FrantzOkemos High SchoolMath Instructor.](https://reader036.fdocuments.us/reader036/viewer/2022062304/56649e605503460f94b5ba04/html5/thumbnails/10.jpg)
ExampleFind mA.
![Page 11: Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan FrantzOkemos High SchoolMath Instructor.](https://reader036.fdocuments.us/reader036/viewer/2022062304/56649e605503460f94b5ba04/html5/thumbnails/11.jpg)
ExampleJN = 10.6, and NL = 14.8. Find KM.
![Page 12: Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan FrantzOkemos High SchoolMath Instructor.](https://reader036.fdocuments.us/reader036/viewer/2022062304/56649e605503460f94b5ba04/html5/thumbnails/12.jpg)
ExampleFind the value of x so that PQST is isosceles.
![Page 13: Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan FrantzOkemos High SchoolMath Instructor.](https://reader036.fdocuments.us/reader036/viewer/2022062304/56649e605503460f94b5ba04/html5/thumbnails/13.jpg)
Midsegment of a Trapezoid
The midsegment of a trapezoid is the segment whose endpoints are the midpoints of the legs
![Page 14: Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan FrantzOkemos High SchoolMath Instructor.](https://reader036.fdocuments.us/reader036/viewer/2022062304/56649e605503460f94b5ba04/html5/thumbnails/14.jpg)
ExampleFind EH.
![Page 15: Chapter 6: Polygons and Parallelograms SECTION 6: PROPERTIES OF KITES AND TRAPEZOIDS Megan FrantzOkemos High SchoolMath Instructor.](https://reader036.fdocuments.us/reader036/viewer/2022062304/56649e605503460f94b5ba04/html5/thumbnails/15.jpg)
I Can
Use properties of kites to solve problems
Use properties of trapezoids to solve problems