91st Edition

ISBN: 9780866099653

Author: Richard Rhoad, George Milauskas, Robert Whipple

Publisher: McDougal Littell

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Question

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

Chapter 3, Problem 16CR

To determine

To Prove: The segments drawn from the mid-point of the base of an isosceles triangle to the mid-points of the legs are congruent.

Expert Solution & Answer

Explanation of Solution

Given information: ΔABC is an isosceles triangle is provided in the question which will help

to find the solution.

Geometry For Enjoyment And Challenge, Chapter 3, Problem 16CR

Proof: In ΔDEB and ΔFEC

∠B=∠C (opposite angles of equal sides)

DB = FC (Isosceles triangle)

BE = EC (as E is mid-point)

So, ΔDEB≅ΔFEC (by Side angle side congruency rule)

Hence, DE = FE (by corresponding parts of congruent triangles)

Chapter 3, Problem 15CR

Chapter 3, Problem 17CR

Chapter 3 Solutions

Geometry For Enjoyment And Challenge

Ch. 3.1 - Prob. 1PSA Ch. 3.1 - Prob. 2PSA Ch. 3.1 - Prob. 3PSA Ch. 3.1 - Prob. 4PSA Ch. 3.1 - Prob. 5PSA Ch. 3.2 - Prob. 1PSA Ch. 3.2 - Prob. 2PSA Ch. 3.2 - Prob. 3PSA Ch. 3.2 - Prob. 4PSA Ch. 3.2 - Prob. 5PSA

Ch. 3.2 - Prob. 6PSA Ch. 3.2 - Prob. 7PSA Ch. 3.2 - Prob. 8PSA Ch. 3.2 - Prob. 9PSA Ch. 3.2 - Prob. 10PSA Ch. 3.2 - Prob. 11PSA Ch. 3.2 - Prob. 12PSA Ch. 3.2 - Prob. 13PSA Ch. 3.2 - Prob. 14PSA Ch. 3.2 - Prob. 15PSA Ch. 3.2 - Prob. 16PSA Ch. 3.2 - Prob. 17PSB Ch. 3.2 - Prob. 18PSB Ch. 3.2 - Prob. 19PSB Ch. 3.2 - Prob. 20PSB Ch. 3.2 - Prob. 21PSB Ch. 3.2 - Prob. 22PSB Ch. 3.2 - Prob. 23PSB Ch. 3.2 - Prob. 24PSB Ch. 3.2 - Prob. 25PSB Ch. 3.2 - Prob. 26PSC Ch. 3.2 - Prob. 27PSC Ch. 3.2 - Prob. 28PSC Ch. 3.3 - Prob. 1PSA Ch. 3.3 - Prob. 2PSA Ch. 3.3 - Prob. 3PSA Ch. 3.3 - Prob. 4PSA Ch. 3.3 - Prob. 5PSA Ch. 3.3 - Prob. 6PSA Ch. 3.3 - Prob. 7PSA Ch. 3.3 - Prob. 8PSA Ch. 3.3 - Prob. 9PSA Ch. 3.3 - Prob. 10PSA Ch. 3.3 - Prob. 11PSA Ch. 3.3 - Prob. 12PSB Ch. 3.3 - Prob. 13PSB Ch. 3.3 - Prob. 14PSB Ch. 3.3 - Prob. 15PSB Ch. 3.3 - Prob. 16PSB Ch. 3.3 - Prob. 17PSB Ch. 3.3 - Prob. 18PSB Ch. 3.3 - Prob. 19PSB Ch. 3.3 - Prob. 20PSB Ch. 3.3 - Prob. 21PSC Ch. 3.3 - Prob. 22PSC Ch. 3.3 - Prob. 23PSC Ch. 3.4 - Prob. 1PSA Ch. 3.4 - Prob. 2PSA Ch. 3.4 - Prob. 3PSA Ch. 3.4 - Prob. 4PSA Ch. 3.4 - Prob. 5PSA Ch. 3.4 - Prob. 6PSA Ch. 3.4 - Prob. 7PSA Ch. 3.4 - Prob. 8PSB Ch. 3.4 - Prob. 9PSB Ch. 3.4 - Prob. 10PSB Ch. 3.4 - Prob. 11PSB Ch. 3.4 - Prob. 12PSC Ch. 3.4 - Prob. 13PSC Ch. 3.4 - Prob. 14PSC Ch. 3.4 - Prob. 15PSC Ch. 3.5 - Prob. 1PSA Ch. 3.5 - Prob. 2PSA Ch. 3.5 - Prob. 3PSA Ch. 3.5 - Prob. 4PSA Ch. 3.5 - Prob. 5PSA Ch. 3.5 - Prob. 6PSB Ch. 3.5 - Prob. 7PSB Ch. 3.5 - Prob. 8PSB Ch. 3.5 - Prob. 9PSB Ch. 3.5 - Prob. 10PSB Ch. 3.5 - Prob. 11PSB Ch. 3.5 - Prob. 12PSC Ch. 3.5 - Prob. 13PSC Ch. 3.5 - Prob. 14PSC Ch. 3.6 - Prob. 1PSA Ch. 3.6 - Prob. 2PSA Ch. 3.6 - Prob. 3PSA Ch. 3.6 - Prob. 4PSA Ch. 3.6 - Prob. 5PSA Ch. 3.6 - Prob. 6PSA Ch. 3.6 - Prob. 7PSB Ch. 3.6 - Prob. 8PSB Ch. 3.6 - Prob. 9PSB Ch. 3.6 - Prob. 10PSB Ch. 3.6 - Prob. 11PSB Ch. 3.6 - Prob. 12PSB Ch. 3.6 - Prob. 13PSB Ch. 3.6 - Prob. 14PSC Ch. 3.6 - Prob. 15PSC Ch. 3.6 - Prob. 16PSC Ch. 3.7 - Prob. 1PSA Ch. 3.7 - Prob. 2PSA Ch. 3.7 - Prob. 3PSA Ch. 3.7 - Prob. 4PSA Ch. 3.7 - Prob. 5PSA Ch. 3.7 - Prob. 6PSA Ch. 3.7 - Prob. 7PSA Ch. 3.7 - Prob. 8PSA Ch. 3.7 - Prob. 9PSA Ch. 3.7 - Prob. 10PSA Ch. 3.7 - Prob. 11PSA Ch. 3.7 - Prob. 12PSB Ch. 3.7 - Prob. 13PSB Ch. 3.7 - Prob. 14PSB Ch. 3.7 - Prob. 15PSB Ch. 3.7 - Prob. 16PSB Ch. 3.7 - Prob. 17PSB Ch. 3.7 - Prob. 18PSB Ch. 3.7 - Prob. 19PSB Ch. 3.7 - Prob. 20PSB Ch. 3.7 - Prob. 21PSB Ch. 3.7 - Prob. 22PSC Ch. 3.7 - Prob. 23PSC Ch. 3.7 - Prob. 24PSC Ch. 3.7 - Prob. 25PSC Ch. 3.8 - Prob. 1PSA Ch. 3.8 - Prob. 2PSA Ch. 3.8 - Prob. 3PSA Ch. 3.8 - Prob. 4PSA Ch. 3.8 - Prob. 5PSA Ch. 3.8 - Prob. 6PSA Ch. 3.8 - Prob. 7PSB Ch. 3.8 - Prob. 8PSB Ch. 3.8 - Prob. 9PSB Ch. 3.8 - Prob. 10PSB Ch. 3.8 - Prob. 11PSB Ch. 3.8 - Prob. 12PSB Ch. 3.8 - Prob. 13PSB Ch. 3.8 - Prob. 14PSB Ch. 3.8 - Prob. 15PSB Ch. 3.8 - Prob. 16PSC Ch. 3.8 - Prob. 17PSC Ch. 3.8 - Prob. 18PSD Ch. 3 - Prob. 1RP Ch. 3 - Prob. 2RP Ch. 3 - Prob. 3RP Ch. 3 - Prob. 4RP Ch. 3 - Prob. 5RP Ch. 3 - Prob. 6RP Ch. 3 - Prob. 7RP Ch. 3 - Prob. 8RP Ch. 3 - Prob. 9RP Ch. 3 - Prob. 10RP Ch. 3 - Prob. 11RP Ch. 3 - Prob. 12RP Ch. 3 - Prob. 13RP Ch. 3 - Prob. 14RP Ch. 3 - Prob. 15RP Ch. 3 - Prob. 16RP Ch. 3 - Prob. 17RP Ch. 3 - Prob. 18RP Ch. 3 - Prob. 1CR Ch. 3 - Prob. 2CR Ch. 3 - Prob. 3CR Ch. 3 - Prob. 4CR Ch. 3 - Prob. 5CR Ch. 3 - Prob. 6CR Ch. 3 - Prob. 7CR Ch. 3 - Prob. 8CR Ch. 3 - Prob. 9CR Ch. 3 - Prob. 10CR Ch. 3 - Prob. 11CR Ch. 3 - Prob. 12CR Ch. 3 - Prob. 13CR Ch. 3 - Prob. 14CR Ch. 3 - Prob. 15CR Ch. 3 - Prob. 16CR Ch. 3 - Prob. 17CR Ch. 3 - Prob. 18CR Ch. 3 - Prob. 19CR Ch. 3 - Prob. 20CR Ch. 3 - Prob. 21CR Ch. 3 - Prob. 22CR Ch. 3 - Prob. 23CR Ch. 3 - Prob. 24CR

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