McDougal Littell Jurgensen Geometry: Student Edition Geometry

5th Edition

ISBN: 9780395977279

Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Publisher: Houghton Mifflin Company College Division

See similar textbooks

Videos

Question

Chapter 5.4, Problem 34WE

To determine

ToProve: if the diagonals of parallelograms are perpendicular, then the parallelogram is a rhombus..

Expert Solution & Answer

Explanation of Solution

Given

The diagonals of parallelograms are perpendicular.

Proof:

Figure is made having diagonals AC and BD.

McDougal Littell Jurgensen Geometry: Student Edition Geometry, Chapter 5.4, Problem 34WE

In ΔAOD and ΔAOB .

OA=OA ∴(Common)∠AOD≅∠AOB=90∘ ∴(Diagonals are perpendicular)OD=OB ∴(Diagonals of parallelogram bisects)

So, ΔDOA≅ΔBOA by SAS postulate.

Therefore, by CPCT AD→≅AB→ .

Opposite sides are congruent in parallelogram.

AB→≅DC→ & AD→≅BC→ ∴(AB→≅AD→)⇒AD→≅DC→≅AB→≅BC→

Therefore, parallelogram ABCD is rhombus.

Chapter 5.4, Problem 33WE

Chapter 5.4, Problem 35WE

Chapter 5 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 5.1 - Prob. 1CE Ch. 5.1 - Prob. 2CE Ch. 5.1 - Prob. 3CE Ch. 5.1 - Prob. 4CE Ch. 5.1 - Prob. 5CE Ch. 5.1 - Prob. 6CE Ch. 5.1 - Prob. 7CE Ch. 5.1 - Prob. 8CE Ch. 5.1 - Prob. 9CE Ch. 5.1 - Prob. 10CE

Ch. 5.1 - Prob. 11CE Ch. 5.1 - Prob. 12CE Ch. 5.1 - Prob. 13CE Ch. 5.1 - Prob. 14CE Ch. 5.1 - Prob. 15CE Ch. 5.1 - Prob. 16CE Ch. 5.1 - Prob. 17CE Ch. 5.1 - Prob. 18CE Ch. 5.1 - Prob. 1WE Ch. 5.1 - Prob. 2WE Ch. 5.1 - Prob. 3WE Ch. 5.1 - Prob. 4WE Ch. 5.1 - Prob. 5WE Ch. 5.1 - Prob. 6WE Ch. 5.1 - Prob. 7WE Ch. 5.1 - Prob. 8WE Ch. 5.1 - Prob. 9WE Ch. 5.1 - Prob. 10WE Ch. 5.1 - Prob. 11WE Ch. 5.1 - Prob. 12WE Ch. 5.1 - Prob. 13WE Ch. 5.1 - Prob. 14WE Ch. 5.1 - Prob. 15WE Ch. 5.1 - Prob. 16WE Ch. 5.1 - Prob. 17WE Ch. 5.1 - Prob. 18WE Ch. 5.1 - Prob. 19WE Ch. 5.1 - Prob. 20WE Ch. 5.1 - Prob. 21WE Ch. 5.1 - Prob. 22WE Ch. 5.1 - Prob. 23WE Ch. 5.1 - Prob. 24WE Ch. 5.1 - Prob. 25WE Ch. 5.1 - Prob. 26WE Ch. 5.1 - Prob. 27WE Ch. 5.1 - Prob. 28WE Ch. 5.1 - Prob. 29WE Ch. 5.1 - Prob. 30WE Ch. 5.1 - Prob. 31WE Ch. 5.1 - Prob. 32WE Ch. 5.1 - Prob. 33WE Ch. 5.1 - Prob. 34WE Ch. 5.1 - Prob. 35WE Ch. 5.1 - Prob. 36WE Ch. 5.1 - Prob. 37WE Ch. 5.1 - Prob. 38WE Ch. 5.1 - Prob. 39WE Ch. 5.2 - Prob. 1CE Ch. 5.2 - Prob. 2CE Ch. 5.2 - Prob. 3CE Ch. 5.2 - Prob. 4CE Ch. 5.2 - Prob. 5CE Ch. 5.2 - Prob. 6CE Ch. 5.2 - Prob. 7CE Ch. 5.2 - Prob. 8CE Ch. 5.2 - Prob. 9CE Ch. 5.2 - Prob. 10CE Ch. 5.2 - Prob. 11CE Ch. 5.2 - Prob. 12CE Ch. 5.2 - Prob. 13CE Ch. 5.2 - Prob. 1WE Ch. 5.2 - Prob. 2WE Ch. 5.2 - Prob. 3WE Ch. 5.2 - Prob. 4WE Ch. 5.2 - Prob. 5WE Ch. 5.2 - Prob. 6WE Ch. 5.2 - Prob. 7WE Ch. 5.2 - Prob. 8WE Ch. 5.2 - Prob. 9WE Ch. 5.2 - Prob. 10WE Ch. 5.2 - Prob. 11WE Ch. 5.2 - Prob. 12WE Ch. 5.2 - Prob. 13WE Ch. 5.2 - Prob. 14WE Ch. 5.2 - Prob. 15WE Ch. 5.2 - Prob. 16WE Ch. 5.2 - Prob. 17WE Ch. 5.2 - Prob. 18WE Ch. 5.2 - Prob. 19WE Ch. 5.2 - Prob. 20WE Ch. 5.2 - Prob. 21WE Ch. 5.2 - Prob. 22WE Ch. 5.2 - Prob. 23WE Ch. 5.2 - Prob. 24WE Ch. 5.2 - Prob. 25WE Ch. 5.3 - Prob. 1CE Ch. 5.3 - Prob. 2CE Ch. 5.3 - Prob. 3CE Ch. 5.3 - Prob. 4CE Ch. 5.3 - Prob. 5CE Ch. 5.3 - Prob. 6CE Ch. 5.3 - Prob. 7CE Ch. 5.3 - Prob. 8CE Ch. 5.3 - Prob. 9CE Ch. 5.3 - Prob. 1WE Ch. 5.3 - Prob. 2WE Ch. 5.3 - Prob. 3WE Ch. 5.3 - Prob. 4WE Ch. 5.3 - Prob. 5WE Ch. 5.3 - Prob. 6WE Ch. 5.3 - Prob. 7WE Ch. 5.3 - Prob. 8WE Ch. 5.3 - Prob. 9WE Ch. 5.3 - Prob. 10WE Ch. 5.3 - Prob. 11WE Ch. 5.3 - Prob. 12WE Ch. 5.3 - Prob. 13WE Ch. 5.3 - Prob. 14WE Ch. 5.3 - Prob. 15WE Ch. 5.3 - Prob. 16WE Ch. 5.3 - Prob. 17WE Ch. 5.3 - Prob. 18WE Ch. 5.3 - Prob. 19WE Ch. 5.3 - Prob. 20WE Ch. 5.3 - Prob. 21WE Ch. 5.3 - Prob. 22WE Ch. 5.3 - Prob. 23WE Ch. 5.3 - Prob. 24WE Ch. 5.3 - Prob. 25WE Ch. 5.3 - Prob. 1ST1 Ch. 5.3 - Prob. 2ST1 Ch. 5.3 - Prob. 3ST1 Ch. 5.3 - Prob. 4ST1 Ch. 5.3 - Prob. 5ST1 Ch. 5.3 - Prob. 6ST1 Ch. 5.3 - Prob. 7ST1 Ch. 5.3 - Prob. 8ST1 Ch. 5.3 - Prob. 1E Ch. 5.3 - Prob. 2E Ch. 5.3 - Prob. 3E Ch. 5.3 - Prob. 4E Ch. 5.3 - Prob. 5E Ch. 5.3 - Prob. 6E Ch. 5.4 - Prob. 1CE Ch. 5.4 - Prob. 2CE Ch. 5.4 - Prob. 3CE Ch. 5.4 - Prob. 4CE Ch. 5.4 - Prob. 5CE Ch. 5.4 - Prob. 6CE Ch. 5.4 - Prob. 7CE Ch. 5.4 - Prob. 8CE Ch. 5.4 - Prob. 9CE Ch. 5.4 - Prob. 10CE Ch. 5.4 - Prob. 11CE Ch. 5.4 - Prob. 1WE Ch. 5.4 - Prob. 2WE Ch. 5.4 - Prob. 3WE Ch. 5.4 - Prob. 4WE Ch. 5.4 - Prob. 5WE Ch. 5.4 - Prob. 6WE Ch. 5.4 - Prob. 7WE Ch. 5.4 - Prob. 8WE Ch. 5.4 - Prob. 9WE Ch. 5.4 - Prob. 10WE Ch. 5.4 - Prob. 11WE Ch. 5.4 - Prob. 12WE Ch. 5.4 - Prob. 13WE Ch. 5.4 - Prob. 14WE Ch. 5.4 - Prob. 15WE Ch. 5.4 - Prob. 16WE Ch. 5.4 - Prob. 17WE Ch. 5.4 - Prob. 18WE Ch. 5.4 - Prob. 19WE Ch. 5.4 - Prob. 20WE Ch. 5.4 - Prob. 21WE Ch. 5.4 - Prob. 22WE Ch. 5.4 - Prob. 23WE Ch. 5.4 - Prob. 24WE Ch. 5.4 - Prob. 25WE Ch. 5.4 - Prob. 26WE Ch. 5.4 - Prob. 27WE Ch. 5.4 - Prob. 28WE Ch. 5.4 - Prob. 29WE Ch. 5.4 - Prob. 30WE Ch. 5.4 - Prob. 31WE Ch. 5.4 - Prob. 32WE Ch. 5.4 - Prob. 33WE Ch. 5.4 - Prob. 34WE Ch. 5.4 - Prob. 35WE Ch. 5.4 - Prob. 36WE Ch. 5.4 - Prob. 37WE Ch. 5.4 - Prob. 38WE Ch. 5.4 - Prob. 39WE Ch. 5.4 - Prob. 40WE Ch. 5.4 - Prob. 41WE Ch. 5.4 - Prob. 42WE Ch. 5.4 - Prob. 1MRE Ch. 5.4 - Prob. 2MRE Ch. 5.4 - Prob. 3MRE Ch. 5.4 - Prob. 4MRE Ch. 5.4 - Prob. 5MRE Ch. 5.4 - Prob. 6MRE Ch. 5.4 - Prob. 7MRE Ch. 5.4 - Prob. 8MRE Ch. 5.4 - Prob. 9MRE Ch. 5.5 - Prob. 1CE Ch. 5.5 - Prob. 2CE Ch. 5.5 - Prob. 3CE Ch. 5.5 - Prob. 4CE Ch. 5.5 - Prob. 5CE Ch. 5.5 - Prob. 6CE Ch. 5.5 - Prob. 7CE Ch. 5.5 - Prob. 8CE Ch. 5.5 - Prob. 9CE Ch. 5.5 - Prob. 10CE Ch. 5.5 - Prob. 11CE Ch. 5.5 - Prob. 1WE Ch. 5.5 - Prob. 2WE Ch. 5.5 - Prob. 3WE Ch. 5.5 - Prob. 4WE Ch. 5.5 - Prob. 5WE Ch. 5.5 - Prob. 6WE Ch. 5.5 - Prob. 7WE Ch. 5.5 - Prob. 8WE Ch. 5.5 - Prob. 9WE Ch. 5.5 - Prob. 10WE Ch. 5.5 - Prob. 11WE Ch. 5.5 - Prob. 12WE Ch. 5.5 - Prob. 13WE Ch. 5.5 - Prob. 14WE Ch. 5.5 - Prob. 15WE Ch. 5.5 - Prob. 16WE Ch. 5.5 - Prob. 17WE Ch. 5.5 - Prob. 18WE Ch. 5.5 - Prob. 19WE Ch. 5.5 - Prob. 20WE Ch. 5.5 - Prob. 21WE Ch. 5.5 - Prob. 22WE Ch. 5.5 - Prob. 23WE Ch. 5.5 - Prob. 24WE Ch. 5.5 - Prob. 25WE Ch. 5.5 - Prob. 26WE Ch. 5.5 - Prob. 27WE Ch. 5.5 - Prob. 28WE Ch. 5.5 - Prob. 29WE Ch. 5.5 - Prob. 30WE Ch. 5.5 - Prob. 31WE Ch. 5.5 - Prob. 32WE Ch. 5.5 - Prob. 33WE Ch. 5.5 - Prob. 34WE Ch. 5.5 - Prob. 35WE Ch. 5.5 - Prob. 36WE Ch. 5.5 - Prob. 1ST2 Ch. 5.5 - Prob. 2ST2 Ch. 5.5 - Prob. 3ST2 Ch. 5.5 - Prob. 4ST2 Ch. 5.5 - Prob. 5ST2 Ch. 5.5 - Prob. 6ST2 Ch. 5.5 - Prob. 7ST2 Ch. 5.5 - Prob. 8ST2 Ch. 5 - Prob. 1CR Ch. 5 - Prob. 2CR Ch. 5 - Prob. 3CR Ch. 5 - Prob. 4CR Ch. 5 - Prob. 5CR Ch. 5 - Prob. 6CR Ch. 5 - Prob. 7CR Ch. 5 - Prob. 8CR Ch. 5 - Prob. 9CR Ch. 5 - Prob. 10CR Ch. 5 - Prob. 11CR Ch. 5 - Prob. 12CR Ch. 5 - Prob. 13CR Ch. 5 - Prob. 14CR Ch. 5 - Prob. 15CR Ch. 5 - Prob. 16CR Ch. 5 - Prob. 17CR Ch. 5 - Prob. 18CR Ch. 5 - Prob. 19CR Ch. 5 - Prob. 20CR Ch. 5 - Prob. 21CR Ch. 5 - Prob. 22CR Ch. 5 - Prob. 1CT Ch. 5 - Prob. 2CT Ch. 5 - Prob. 3CT Ch. 5 - Prob. 4CT Ch. 5 - Prob. 5CT Ch. 5 - Prob. 6CT Ch. 5 - Prob. 7CT Ch. 5 - Prob. 8CT Ch. 5 - Prob. 9CT Ch. 5 - Prob. 10CT Ch. 5 - Prob. 11CT Ch. 5 - Prob. 12CT Ch. 5 - Prob. 13CT Ch. 5 - Prob. 14CT Ch. 5 - Prob. 15CT Ch. 5 - Prob. 16CT Ch. 5 - Prob. 17CT Ch. 5 - Prob. 18CT Ch. 5 - Prob. 19CT Ch. 5 - Prob. 1CUR Ch. 5 - Prob. 2CUR Ch. 5 - Prob. 3CUR Ch. 5 - Prob. 4CUR Ch. 5 - Prob. 5CUR Ch. 5 - Prob. 6CUR Ch. 5 - Prob. 7CUR Ch. 5 - Prob. 8CUR Ch. 5 - Prob. 9CUR Ch. 5 - Prob. 10CUR Ch. 5 - Prob. 11CUR Ch. 5 - Prob. 12CUR Ch. 5 - Prob. 13CUR Ch. 5 - Prob. 14CUR Ch. 5 - Prob. 15CUR Ch. 5 - Prob. 16CUR Ch. 5 - Prob. 17CUR Ch. 5 - Prob. 18CUR Ch. 5 - Prob. 19CUR Ch. 5 - Prob. 20CUR Ch. 5 - Prob. 21CUR Ch. 5 - Prob. 22CUR Ch. 5 - Prob. 23CUR Ch. 5 - Prob. 24CUR Ch. 5 - Prob. 25CUR Ch. 5 - Prob. 26CUR Ch. 5 - Prob. 27CUR Ch. 5 - Prob. 28CUR Ch. 5 - Prob. 29CUR Ch. 5 - Prob. 30CUR Ch. 5 - Prob. 31CUR

Additional Math Textbook Solutions

Find more solutions based on key concepts

29-36. Total and Annual Returns. Compute the total and annual returns on the following investments. 29. Five ye...

Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)

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

Elementary Statistics

1. combination of numbers, variables, and operation symbols is called an algebraic______.

Algebra and Trigonometry (6th Edition)

x vs. Two symbols are used for the mean: and x. a. Which represents a parameter, and which a statistic? b. In...

Introductory Statistics

Identify f as being linear, quadratic, or neither. If f is quadratic, identify the leading coefficient a and ...

College Algebra with Modeling & Visualization (5th Edition)

Assessment 1-1A How many triangles are in the following figure?

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

ToProve : if the diagonals of parallelograms are perpendicular, then the parallelogram is a rhombus..

Videos

ToProve: if the diagonals of parallelograms are perpendicular, then the parallelogram is a rhombus..

Explanation of Solution

Chapter 5 Solutions

Additional Math Textbook Solutions