Q1. In Exercises 1鈥�3 you are given... [FREE SOLUTION]

91影视

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 148)

In Exercises 1鈥�3 you are given a diagram that is marked with given information. Give the reason for each key step of the proof.
Prove: $\overset{炉}{AS} 鈮� \overset{炉}{DT}$ Key steps of proof:
a. $螖 ABC 鈮� 螖 DEF$
b. $鈭� C 鈮� 鈭� F$
c. $螖 ACS 鈮� 螖 DFT$
d. $\overset{炉}{AS} 鈮� \overset{炉}{DT}$

Short Answer

Expert verified

a. $螖 A B C 鈮� 螖 D E F$	SAS postulate
b. $鈭� C 鈮� 鈭� F$	Corr. parts of $鈮� 螖$ are $鈮�$ .
c. $螖 A C S 鈮� 螖 D F T$	SAS postulate
d. $\overset{炉}{A S} 鈮� \overset{炉}{D T}$	Corr. parts of $鈮� 螖$ are $鈮�$ .

Step by step solution

Step 1. Apply SAS postulate.

Consider $螖 A B C$ and $螖 D E F$ in which $\overset{炉}{A B} 鈮� \overset{炉}{D E}$ , $鈭� B A C 鈮� 鈭� E D F$ and $\overset{炉}{A C} 鈮� \overset{炉}{D F}$ then by SAS postulate $螖 A B C 鈮� 螖 D E F$ .

Step 2. Description of step.

As $螖 A B C 鈮� 螖 D E F$ , by corresponding parts of congruent triangles, $鈭� C 鈮� 鈭� F$ .

Step 3. Apply SAS postulate.

Consider $螖 A C S$ and $螖 D F T$ in which $\overset{炉}{A C} 鈮� \overset{炉}{D F}$ , $鈭� C 鈮� 鈭� F$ and $\overset{炉}{S C} 鈮� \overset{炉}{T F}$ then by SAS postulate $螖 A C S 鈮� 螖 D F T$ .

Step 4. Description of step.

As $螖 A C S 鈮� 螖 D F T$ , by corresponding parts of congruent triangles, $\overset{炉}{A S} 鈮� \overset{炉}{D T}$ .

Step 5. Give the reason for each key step of the proof.

a. $螖 A B C 鈮� 螖 D E F$	SAS postulate
b. $鈭� C 鈮� 鈭� F$	Corr. parts of role="math" localid="1649948016680" $鈮� 螖$ are $鈮�$ .
c. $螖 A C S 鈮� 螖 D F T$	SAS postulate
d. $\overset{炉}{A S} 鈮� \overset{炉}{D T}$	Corr. parts of $鈮� 螖$ are $鈮�$ .

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91影视

Short Answer

Step by step solution

Step 1. Apply SAS postulate.

Step 2. Description of step.

Step 3. Apply SAS postulate.

Step 4. Description of step.

Step 5. Give the reason for each key step of the proof.

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91影视

In Exercises 1鈥�3 you are given a diagram that is marked with given information. Give the reason for each key step of the proof.Prove:AS炉鈮�DT炉 Key steps of proof:a.螖ABC鈮�螖DEFb.鈭�C鈮�鈭�Fc.螖ACS鈮�螖DFTd.AS炉鈮�DT炉

Short Answer

Step by step solution

Step 1. Apply SAS postulate.

Step 2. Description of step.

Step 3. Apply SAS postulate.

Step 4. Description of step.

Step 5. Give the reason for each key step of the proof.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Geometry

Discrete Mathematics

Theoretical and Mathematical Physics

Logic and Functions

Mechanics Maths

Study anywhere. Anytime. Across all devices.