1 / 12

Geometry Basics: Kites, Trapezoids & Angles

Learn about rhombus properties, isosceles trapezoids, angle theorems, and how to calculate missing values in geometric shapes.

taylordelgado
Download Presentation

Geometry Basics: Kites, Trapezoids & Angles

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. 5-Minute Check 1 1) LMNO is a rhombus. Find x. 2) LMNO is a rhombus. Find y. 3) QRST is a square. Find n if mTQR = 8n + 8.

  2. 6-6 Trapezoids and Kites

  3. Trapezoid • Quadrilateral with one pair of parallel sides • Parallel sides are called the “bases”. • Non-parallel sides are called the “legs”.

  4. Isosceles Trapezoid • Trapezoid where the legs are congruent • Diagonals are congruent.

  5. Theorem • Base angles of an isosceles trapezoid are congruent. • What else can you tell me about angles x and y? • They are supplements! y y x x

  6. TOO: Find the missing angles 1) 2) 110 110 70 70 145 145 35 35

  7. Theorem • The median of a trapezoid is • parallel to the bases • (Base + Base) divided by 2 b m b

  8. Example: EF is the median of Trapezoid ABCD • If AB = 25 and DC = 13, find EF. • If AB = 29 and EF = 24, find DC. TOO: If AB = 7y + 6, EF = 5y – 3, and DC = y – 5, find y and EF. (both answers are decimals!!) 19 19 D C E F A B 3.5 14.5

  9. Kite Is a Quadrilateral Diagonals are Perpendicular 2 consecutive sets of sides are congruent Longer diagonal bisects the Angles and the shorter diagonal.

  10. Example If MNPQ is a kite, find NP. NR2 + MR2 = MN2 Pythagorean Theorem (6)2 + (8)2 = MN2 36 + 64 = MN2 100 = MN2 10 = MN Since MN  NP, NP = 10.

  11. Example If BCDE is a kite, find mCDE. A. 28° B. 36° C. 42° D. 55°

  12. Homework • Pg. 444 #8-11, 16-27, 41-44

More Related