Q1. Complete.If 鈻矪AD鈮呪柍TOP, the... [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 162)

Complete.
If $鈻� B A D 鈮� 鈻� T O P$ , then role="math" localid="1649245739017" $\overset{炉}{D B} 鈮� \underline{?}$ and role="math" localid="1649245766553" $鈻� P T O 鈮� \underline{?}$ .

Short Answer

Expert verified

The complete statement is: If $鈻� B A D 鈮� 鈻� T O P$ , then $\overset{炉}{D B} 鈮� \overset{炉}{PT}$ and $鈻� P T O 鈮� 鈻� DBA$ .

Step by step solution

Step 1. Description of step.

It is being given that $鈻� B A D 鈮� 鈻� T O P$ .

Therefore, the triangles $鈻� B A D$ and $鈻� T O P$ are the congruent triangles.

When the two triangles are congruent, then the corresponding angles and corresponding sides of the triangles are congruent.

Step 2. Description of step.

As, $鈻� B A D 鈮� 鈻� T O P$ , therefore the corresponding angles and corresponding sides of the triangles $鈻� B A D$ and $鈻� T O P$ are congruent.

Therefore,

$鈭� B 鈮� 鈭� T 鈭� A 鈮� 鈭� O 鈭� D 鈮� 鈭� P$

and

$\begin{array}{l} \overset{炉}{B A} 鈮� \overset{炉}{T O} \\ \overset{炉}{A D} 鈮� \overset{炉}{O P} \\ \overset{炉}{D B} 鈮� \overset{炉}{P T} \end{array}$

Step 3. Write the complete statement.

Therefore, it can be seen that $\overset{炉}{D B} 鈮� \overset{炉}{P T}$ .

As, $鈭� B 鈮� 鈭� T$ , $鈭� A 鈮� 鈭� O$ and $鈭� D 鈮� 鈭� P$ , therefore it can be seen that $鈻� P T O 鈮� 鈻� D B A$ .

Therefore, the complete statement is: If $鈻� B A D 鈮� 鈻� T O P$ , then $\overset{炉}{D B} 鈮� \overset{炉}{P T}$ and $鈻� P T O 鈮� 鈻� D B A$ .

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91影视

Complete.
If $鈻� B A D 鈮� 鈻� T O P$ , then role="math" localid="1649245739017" $\overset{炉}{D B} 鈮� \underline{?}$ and role="math" localid="1649245766553" $鈻� P T O 鈮� \underline{?}$ .

Short Answer

Step by step solution

Step 1. Description of step.

Step 2. Description of step.

Step 3. Write the complete statement.

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91影视

Complete.If 鈻�BAD鈮�鈻�TOP, then role="math" localid="1649245739017" DB炉鈮�?_and role="math" localid="1649245766553" 鈻�PTO鈮�?_.

Short Answer

Step by step solution

Step 1. Description of step.

Step 2. Description of step.

Step 3. Write the complete statement.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Decision Maths

Geometry

Pure Maths

Calculus

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Complete.
If $鈻� B A D 鈮� 鈻� T O P$ , then role="math" localid="1649245739017" $\overset{炉}{D B} 鈮� \underline{?}$ and role="math" localid="1649245766553" $鈻� P T O 鈮� \underline{?}$ .