Geometry For Enjoyment And Challenge
Geometry For Enjoyment And Challenge
91st Edition
ISBN: 9780866099653
Author: Richard Rhoad, George Milauskas, Robert Whipple
Publisher: McDougal Littell
bartleby

Videos

Question
Book Icon
Chapter 4.4, Problem 23PSC
To determine

To Prove: ΔABC is equilateral.

Expert Solution & Answer
Check Mark

Explanation of Solution

Given information: Altitude AD, BE and CF bisects corresponding sides.

Formula used: properties of triangle, angle sum property of triangle, congruency.

Proof:

  AD, BE and CFareAltitude (given)D,E,Faremidpoints(given)ODB=ODC(Each90)BD=DCOD=OD(Reflectiveproperty)ΔODBΔODC(SAS)OBD=OCD.Similarly,OBF=OAFandOAF=OAE.OAF+OAE=OCE+OCD=OBD+OBF.A=B=C.HenceΔABCisequilateral.

Chapter 4 Solutions

Geometry For Enjoyment And Challenge

Ch. 4.1 - Prob. 11PSBCh. 4.1 - Prob. 12PSBCh. 4.1 - Prob. 13PSBCh. 4.1 - Prob. 14PSBCh. 4.1 - Prob. 15PSBCh. 4.1 - Prob. 16PSCCh. 4.1 - Prob. 17PSCCh. 4.1 - Prob. 18PSCCh. 4.2 - Prob. 1PSACh. 4.2 - Prob. 2PSACh. 4.2 - Prob. 3PSACh. 4.2 - Prob. 4PSACh. 4.2 - Prob. 5PSACh. 4.2 - Prob. 6PSACh. 4.2 - Prob. 7PSACh. 4.2 - Prob. 8PSBCh. 4.2 - Prob. 9PSBCh. 4.2 - Prob. 10PSBCh. 4.2 - Prob. 11PSBCh. 4.2 - Prob. 12PSBCh. 4.2 - Prob. 13PSCCh. 4.2 - Prob. 14PSCCh. 4.2 - Prob. 15PSCCh. 4.3 - Prob. 1PSACh. 4.3 - Prob. 2PSACh. 4.3 - Prob. 3PSACh. 4.3 - Prob. 4PSACh. 4.3 - Prob. 5PSACh. 4.3 - Prob. 6PSACh. 4.3 - Prob. 7PSACh. 4.3 - Prob. 8PSBCh. 4.3 - Prob. 9PSBCh. 4.3 - Prob. 10PSBCh. 4.3 - Prob. 11PSBCh. 4.3 - Prob. 12PSBCh. 4.3 - Prob. 13PSBCh. 4.3 - Prob. 14PSCCh. 4.3 - Prob. 15PSCCh. 4.3 - Prob. 16PSCCh. 4.4 - Prob. 1PSACh. 4.4 - Prob. 2PSACh. 4.4 - Prob. 3PSACh. 4.4 - Prob. 4PSACh. 4.4 - Prob. 5PSACh. 4.4 - Prob. 6PSACh. 4.4 - Prob. 7PSACh. 4.4 - Prob. 8PSACh. 4.4 - Prob. 9PSACh. 4.4 - Prob. 10PSACh. 4.4 - Prob. 11PSBCh. 4.4 - Prob. 12PSBCh. 4.4 - Prob. 13PSBCh. 4.4 - Prob. 14PSBCh. 4.4 - Prob. 15PSBCh. 4.4 - Prob. 16PSBCh. 4.4 - Prob. 17PSBCh. 4.4 - Prob. 18PSBCh. 4.4 - Prob. 19PSBCh. 4.4 - Prob. 20PSCCh. 4.4 - Prob. 21PSCCh. 4.4 - Prob. 22PSCCh. 4.4 - Prob. 23PSCCh. 4.4 - Prob. 24PSCCh. 4.5 - Prob. 1PSCh. 4.5 - Prob. 2PSCh. 4.5 - Prob. 3PSCh. 4.5 - Prob. 4PSCh. 4.5 - Prob. 5PSCh. 4.6 - Prob. 1PSACh. 4.6 - Prob. 2PSACh. 4.6 - Prob. 3PSACh. 4.6 - Prob. 4PSACh. 4.6 - Prob. 5PSACh. 4.6 - Prob. 6PSACh. 4.6 - Prob. 7PSACh. 4.6 - Prob. 8PSACh. 4.6 - Prob. 9PSACh. 4.6 - Prob. 10PSACh. 4.6 - Prob. 11PSACh. 4.6 - Prob. 12PSBCh. 4.6 - Prob. 13PSBCh. 4.6 - Prob. 14PSBCh. 4.6 - Prob. 15PSBCh. 4.6 - Prob. 16PSBCh. 4.6 - Prob. 17PSCCh. 4.6 - Prob. 18PSCCh. 4 - Prob. 1RPCh. 4 - Prob. 2RPCh. 4 - Prob. 3RPCh. 4 - Prob. 4RPCh. 4 - Prob. 5RPCh. 4 - Prob. 6RPCh. 4 - Prob. 7RPCh. 4 - Prob. 8RPCh. 4 - Prob. 9RPCh. 4 - Prob. 10RPCh. 4 - Prob. 11RPCh. 4 - Prob. 12RPCh. 4 - Prob. 13RPCh. 4 - Prob. 14RPCh. 4 - Prob. 15RPCh. 4 - Prob. 16RPCh. 4 - Prob. 17RPCh. 4 - Prob. 18RPCh. 4 - Prob. 19RPCh. 4 - Prob. 20RPCh. 4 - Prob. 21RPCh. 4 - Prob. 22RP
Knowledge Booster
Background pattern image
Geometry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Text book image
Elementary Geometry for College Students
Geometry
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Cengage Learning
What are the Different Types of Triangles? | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=1k0G-Y41jRA;License: Standard YouTube License, CC-BY
Law of Sines AAS, ASA, SSA Ambiguous Case; Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=FPVGb-yWj3s;License: Standard YouTube License, CC-BY
Introduction to Statistics..What are they? And, How Do I Know Which One to Choose?; Author: The Doctoral Journey;https://www.youtube.com/watch?v=HpyRybBEDQ0;License: Standard YouTube License, CC-BY
Triangles | Mathematics Grade 5 | Periwinkle; Author: Periwinkle;https://www.youtube.com/watch?v=zneP1Q7IjgQ;License: Standard YouTube License, CC-BY
What Are Descriptive Statistics And Inferential Statistics?; Author: Amour Learning;https://www.youtube.com/watch?v=MUyUaouisZE;License: Standard Youtube License