1 / 3

Examine trapezoid TRAP . Explain why you can assign the same y -coordinate to points R and A .

In a trapezoid, only one pair of sides is parallel. In TRAP , TP || RA . Because TP lies on the horizontal x -axis, RA also must be horizontal. . Proofs Using Coordinate Geometry. LESSON 6-7. Additional Examples.

haracha
Download Presentation

Examine trapezoid TRAP . Explain why you can assign the same y -coordinate to points R and A .

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. In a trapezoid, only one pair of sides is parallel. In TRAP, TP || RA . Because TP lies on the horizontal x-axis, RA also must be horizontal. Proofs Using Coordinate Geometry LESSON 6-7 Additional Examples Examine trapezoid TRAP. Explain why you can assign the same y-coordinate to points R and A. The y-coordinates of all points on a horizontal line are the same, so points R and A have the same y-coordinates. Quick Check

  2. The quadrilateral XYZW formed by connecting the midpoints of ABCD is shown below. Proofs Using Coordinate Geometry LESSON 6-7 Additional Examples Use coordinate geometry to prove that the quadrilateral formed by connecting the midpoints of rhombus ABCD is a rectangle. From Lesson 6-6, you know that XYZW is a parallelogram. If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle by Theorem 6-14.

  3. ( –2a)2 + (2b)2 = 4a2 + 4b2 XZ = (–a – a)2 + (b – (–b))2 = ( –2a)2 + (–2b)2 = 4a2 + 4b2 YW = (–a – a)2 + (– b – b)2 = Proofs Using Coordinate Geometry LESSON 6-7 Additional Examples Quick Check (continued) To show that XYZW is a rectangle, find the lengths of its diagonals, and then compare them to show that they are equal. Because the diagonals are congruent, parallelogram XYZW is a rectangle.

More Related