1 / 17

Find the value of each variable. 1. x 2. y 3. z

Find the value of each variable. 1. x 2. y 3. z. A quadrilateral with two pairs of parallel sides is a parallelogram . To write the name of a parallelogram, you use the symbol. In CDEF , DE = 74 mm, DG = 31 mm, and m  FCD = 42° . Find CF. Find m  EFC. Find DF.

julio
Download Presentation

Find the value of each variable. 1. x 2. y 3. z

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. Find the value of each variable. 1.x2.y 3.z

  2. A quadrilateral with two pairs of parallel sides is a parallelogram. To write the name of a parallelogram, you use the symbol .

  3. In CDEF, DE = 74 mm, DG = 31 mm, and mFCD = 42°. Find CF. Find mEFC. Find DF. Example 1A: Properties of Parallelograms

  4. Example 2A: Using Properties of Parallelograms to Find Measures WXYZ is a parallelogram. Find YZ. Find mZ

  5. Example 2a EFGH is a parallelogram. Find JG. Find FH.

  6. A second type of special quadrilateral is a rectangle. A rectangleis a quadrilateral with four right angles.

  7. Since a rectangle is a parallelogram by, a rectangle “inherits” all the properties of parallelograms.

  8. Example 1: Craft Application A woodworker constructs a rectangular picture frame so that JK = 50 cm and JL = 86 cm. Find HM.

  9. A rhombus is another special quadrilateral. A rhombusis a quadrilateral with four congruent sides. Like a rectangle, a rhombus is a parallelogram. So you can apply the properties of parallelograms to rhombuses.

  10. Example 2A: Using Properties of Rhombuses to Find Measures TVWX is a rhombus. Find TV. Find mVTZ.

  11. A square is a quadrilateral with four right angles and four congruent sides. In the exercises, you will show that a square is a parallelogram, a rectangle, and a rhombus. So a square has the properties of all three.

  12. Lesson Review: Part I In PNWL, NW = 12, PM = 9, and mWLP = 144°. Find each measure. 1.PW2. mPNW

  13. Lesson Review: Part II QRST is a parallelogram. Find each measure. 2.TQ3. mT

  14. Lesson Review: Part III PQRS is a rhombus. Find each measure. 3.QP4. mQRP

More Related