Answered: Let ABCD be a quadrilateral, and let E…

Name: Let ABCD be a quadrilateral, and let E be the midpoint of AB, F the mi
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: Let ABCD be a quadrilateral, and let E be the midpoint of AB, F the midpoint of BC, G the midpoint of CD, and H the midpoint of DA. Show that EFGH is a parallelogram. (justify each step using axioms/theorems)

Math

Geometry

Let ABCD be a quadrilateral, and let E be the midpoint of AB, F the midpoint of BC, G the midpoint of CD, and H the midpoint of DA. Show that EFGH is a parallelogram. (justify each step using axioms

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.2: Perimeter And Area Of Polygons

Problem 55E: Each side of square RSTV has length 8. Point W lies on VR- and point Y lies on TS- in such a way to...

See similar textbooks

Similar questions

In Exercises 1 to 17, complete an analytic proof for each theorem. If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.
Use drawings, as needed, to answer each question. In a plane lm and tm. By appearance, how are l and t related?
In Exercises 1 to 17, complete an analytic proof for each theorem. The opposite sides of a parallelogram are equal in length.
Given: Isosceles ABE with AEBE; also, D and C are midpoints of AE and BE, respectively. Prove: ABCD is an isosceles trapezoid. Exercises 17, 18
In Exercises 1 to 17, complete an analytic proof for each theorem. The diagonals of a square are perpendicular bisectors of each other.
For compactness, the drop-down wheels of a stretcher or gurney are folded under it as shown. In order for the boards upper surface to be parallel to the ground when the wheels are dropped, what relationship must exist between AB and CD?
In the drawing, ABDCEF with transversals l and m. If D and C are the midpoints of AE and BF, respectively, then is trapezoid ABCD similar to trapezoid DCFE?
In Exercises 27-30, use the definition of a parallelogram to complete each proof. Given: Parallelogram ABCD with DE-AB- and FB-AB- Prove: DE-FB- Plan: First show that DEBF is a parallelogram.
Are quadrilaterals ABCD and EFGH congruent aif both are squares and ABEF? bif each is a rhombus and ABEF?
Review Exercises In trapezoid MNOP, MN-PO- and R and S are the mid-points of MP- and NO- respectively. Find the lengths of the bases if RS=15, MN=3x+2, and PO=2x-7.
In the three-dimensional figure, CAAB and BEAB. Are CAandBE parallel to each other? Compare with Exercise 6.
Prove the statements in Review Exercises 32 to 36 using analytic geometry. If the diagonals of a rectangle are perpendicular, then the rectangle is a square.