nod: First, prove the quadrilateral is a rhombus by showing all four sides is cong e the quadrilateral is a rectangle by showing the diagonals is congruent. mples: "rove that the quadrilateral with vertices A(-1.0), B(3,3), C(6,-1) and D(2,-4) is a square. w: mula: d = J(Ax)* +(Ay)* %3D -2 ork pl: Calculate the Distances of all four sides to show all sides are equal. -6 -5 4 -3 -2 -10 1 2 3 4 5 6 -2 )² = JO +() = r %3D -4 VO? + ( )? = O+ ()= r -O + ( )² = J + ( ) = - %3D -O+ ( VO + O = r is a Step 2: Calculate the Distances of both diagonals to show they are equal. -O+ ( )² = /O + ( = - %3D -O + ( ² = O + ( ) = - %3D
nod: First, prove the quadrilateral is a rhombus by showing all four sides is cong e the quadrilateral is a rectangle by showing the diagonals is congruent. mples: "rove that the quadrilateral with vertices A(-1.0), B(3,3), C(6,-1) and D(2,-4) is a square. w: mula: d = J(Ax)* +(Ay)* %3D -2 ork pl: Calculate the Distances of all four sides to show all sides are equal. -6 -5 4 -3 -2 -10 1 2 3 4 5 6 -2 )² = JO +() = r %3D -4 VO? + ( )? = O+ ()= r -O + ( )² = J + ( ) = - %3D -O+ ( VO + O = r is a Step 2: Calculate the Distances of both diagonals to show they are equal. -O+ ( )² = /O + ( = - %3D -O + ( ² = O + ( ) = - %3D
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.CR: Review Exercises
Problem 34CR: Prove the statements in Review Exercises 32 to 36 using analytic geometry. If the diagonals of a...
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