Chapter 4: Q1. (page 162)

Complete.
If $△ B A D ≅ △ T O P$ , then role="math" localid="1649245739017" $\bar{D B} ≅ \underline{?}$ and role="math" localid="1649245766553" $△ P T O ≅ \underline{?}$ .

Short Answer

Expert verified

The complete statement is: If $△ B A D ≅ △ T O P$ , then $\bar{D B} ≅ \bar{PT}$ and $△ P T O ≅ △ DBA$ .

Step by step solution

Step 1. Description of step.

It is being given that $△ B A D ≅ △ T O P$ .

Therefore, the triangles $△ B A D$ and $△ T O P$ 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, $△ B A D ≅ △ T O P$ , therefore the corresponding angles and corresponding sides of the triangles $△ B A D$ and $△ T O P$ are congruent.

Therefore,

$∠ B ≅ ∠ T ∠ A ≅ ∠ O ∠ D ≅ ∠ P$

and

$\begin{array}{l} \bar{B A} ≅ \bar{T O} \\ \bar{A D} ≅ \bar{O P} \\ \bar{D B} ≅ \bar{P T} \end{array}$

Step 3. Write the complete statement.

Therefore, it can be seen that $\bar{D B} ≅ \bar{P T}$ .

As, $∠ B ≅ ∠ T$ , $∠ A ≅ ∠ O$ and $∠ D ≅ ∠ P$ , therefore it can be seen that $△ P T O ≅ △ D B A$ .

Therefore, the complete statement is: If $△ B A D ≅ △ T O P$ , then $\bar{D B} ≅ \bar{P T}$ and $△ P T O ≅ △ D B A$ .

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Complete.
If $△ B A D ≅ △ T O P$ , then role="math" localid="1649245739017" $\bar{D B} ≅ \underline{?}$ and role="math" localid="1649245766553" $△ P T O ≅ \underline{?}$ .

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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Complete.If △BAD≅△TOP, then role="math" localid="1649245739017" DB¯≅?_and role="math" localid="1649245766553" △PTO≅?_.

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

Decision Maths

Probability and Statistics

Discrete Mathematics

Mechanics Maths

Applied Mathematics

Calculus

Study anywhere. Anytime. Across all devices.

Complete.
If $△ B A D ≅ △ T O P$ , then role="math" localid="1649245739017" $\bar{D B} ≅ \underline{?}$ and role="math" localid="1649245766553" $△ P T O ≅ \underline{?}$ .