91st Edition

ISBN: 9780866099653

Author: Richard Rhoad, George Milauskas, Robert Whipple

Publisher: McDougal Littell

Videos

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 3.7, Problem 18PSB

To determine

To explain : The reason for the congruency of the four triangles of the pyramid.

Expert Solution & Answer

Answer to Problem 18PSB

The triangles are congruent by SSS property

Explanation of Solution

Given information : The information is given regarding the triangles and the pyramid

The base of the pyramid is a square

All four triangles of the pyramid are isosceles triangles

Let the edge of the pyramid be x . now, we know that as all the edges are the sides of the triangles that are in common, we can say that

For any triangle, both vertical sides are congruent

Now, we know that the base of the pyramid is a square. Thus, we can say that

All the bases of these isosceles triangles are also congruent

Now, given that we know that all the three sides of all of these triangles are congruent, we can say that

The triangles are congruent by SSS property

Chapter 3.7, Problem 17PSB

Chapter 3.7, Problem 19PSB

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

Additional Math Textbook Solutions

Find more solutions based on key concepts

Females’ Pulse Rates before and after a Fright (Example 17) In a statistics class taught by one of the authors,...

Introductory Statistics

2. Source of Data In conducting a statistical study, why is it important to consider the source of the data?

Elementary Statistics

Find the additive inverse of each of the following integers. Write the answer in the simplest possible form. a....

A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)

4. You construct a 95% confidence interval for a population mean using a random sample. The confidence interval...

Elementary Statistics: Picturing the World (7th Edition)

Explain the meaning of the term “statistically significant difference” in statistics terminology.

Intro Stats, Books a la Carte Edition (5th Edition)

CHECK POINT I Express as a percent.

Thinking Mathematically (6th Edition)

Knowledge Booster

$Geometry$

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.