Help auxiliary lines.)AMB.2 Given: WZl bis. XYProve: AWXY is isosceles. (Hint: Thisproof can be written in threesteps by using Theorem 25.)WB3 Given: 00, AB = ACConclusion: AD I bis. BC (Hint: Showthat A and O are each equi-distant from B and C.)DSection 4.4 The Equidistance

2. given WZ↔ ⊥bis XY¯ as WZ is bisector of XY XZ=ZY......(1)

Answered: Given: WZ 1 bis. XY Prove: AWXY is…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.2: Length And Angle: The Dot Product

Problem 5AEXP

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a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.
Given: Rhombus ABCD not shown in which diagonals AC and DB intersect at point E; DB=AB=8 Find: AC
CM is the median for ABC from vertex C to side AB. a Name two line segments that must be congruent. _ b Is 1 necessarily congruent to 2?_
Given: l1l2l3,AB=4,BC=5,DE=x,EF=12x Find: x,DE,EF
Given: lm Transversal t m1=4x+2 m6=4x2 Find: x and m5 Exercise 15, 16
Given: mn Transversal k m3=x23x m6=(x+4)(x5) Find: x and m4 Exercise 17-19
MNPQ is a parallelogram. Suppose that MQ=12.7, MN=17.9, and mM=1220. Find: a QP c mQ b NP d mP
Use Exercise 33 and the following drawing to complete the proof of this theorem: The length of the median of a trapezoid is one-half the sum of the lengths of the two bases. Given: Trapezoid ABCD with median MN Prove: MN=12(AB+CD) 33. Use Theorem 5.6.1 and the drawing to complete the proof of this theorem: If a line is parallel to one side of a triangle and passes through the midpoint of a second side, then it will pass through the midpoint of the third side. Given: RST with M the midpoint of RS;MNST Prove: N is the midpoint of RT
Given: l1l2l3,AB=5,BC=x,DE=x2,EF=7 Find: x,BC,DE
Use Theorem 5.6.3 to complete the proof of this theorem: If the bisector of an angle of a triangle also bisects the opposite side, then the triangle is an isosceles triangle. Given: XYZ;YW bisects XYZ;WXWZ Prove: XYZ is isosceles HINT: Use a proportion to show that YX=YZ.
In ABC, M is the midpoint of AB and N is the midpoint of AC. If MN= 3x-11 and BC= 4x24, find the value of x._

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Given: WZ 1 bis. XY Prove: AWXY is isosceles. (Hint: This proof can be written in three steps by using Theorem 25.)