Geometry

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

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 4: Q1. (page 159)

Suppose you wish to prove $螖础贵贰鈮� 螖叠贵顿$ . If you have already proved $螖 ABE 鈮� 螖 BAD$ , what corresponding parts from this second pair of congruent triangles would you use to prove the first pair of triangles congruent?

Short Answer

Expert verified

The corresponding parts from the second pair of congruent triangles that would be used to prove the first pair of triangles congruent are $鈭� AEB 鈮� 鈭� BDA$ and $AE 鈮� BD$ .

Step by step solution

Step 1. Observe the given figure.

The given figure is:

Step 2. Description of step.

It is to be proved that $螖 A F E 鈮� 螖 B F D$ .

It has been given that $螖 A B E 鈮� 螖 B A D$ .

In the triangles $螖 A F E$ and $螖 B F D$ , it can be noticed that $鈭� A F E 鈮� 鈭� B F D$ because the angles $鈭� A F E$ and $鈭� B F D$ are the vertically opposite angles.

Now, if it is proved that $鈭� A E B 鈮� 鈭� B D A$ and $A E 鈮� B D$ , then $螖 A F E 鈮� 螖 B F D$ by usingAAS postulate.

Therefore, as $螖 A B E 鈮� 螖 B A D$ , if it is proved by corresponding parts of congruent triangles that $鈭� A E B 鈮� 鈭� B D A$ and $A E 鈮� B D$ then $螖 A F E 鈮� 螖 B F D$

Step 3. Description of step.

Therefore, the corresponding parts from the second pair of congruent triangles that would be used to prove the first pair of triangles congruent are $鈭� A E B 鈮� 鈭� B D A$ and $A E 鈮� B D$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Suppose you wish to prove $螖础贵贰鈮� 螖叠贵顿$ . If you have already proved $螖 ABE 鈮� 螖 BAD$ , what corresponding parts from this second pair of congruent triangles would you use to prove the first pair of triangles congruent?

Short Answer

Step by step solution

Step 1. Observe the given figure.

Step 2. Description of step.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Logic and Functions

Theoretical and Mathematical Physics

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

91影视

Suppose you wish to prove 螖础贵贰鈮�螖叠贵顿. If you have already proved 螖ABE鈮�螖BAD, what corresponding parts from this second pair of congruent triangles would you use to prove the first pair of triangles congruent?

Short Answer

Step by step solution

Step 1. Observe the given figure.

Step 2. Description of step.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Geometry

Logic and Functions

Theoretical and Mathematical Physics

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

Suppose you wish to prove $螖础贵贰鈮� 螖叠贵顿$ . If you have already proved $螖 ABE 鈮� 螖 BAD$ , what corresponding parts from this second pair of congruent triangles would you use to prove the first pair of triangles congruent?