Chapter 4: Q1. (page 136)

If $Δ A O D$ is isosceles, with $\bar{O A} ≅ \bar{O D}$ . Then $∠≅ ∠$ ?

Short Answer

Expert verified

The congruent angles are $∠ D ≅ ∠ A$ .

Step by step solution

Step 1. Consider the figure.

Consider the figure.

Step 2. Apply the concept of isosceles triangles.

Property of isosceles triangle that if two sides of a triangle are congruent, then the angles opposite to those sides are congruent.

Step 3. Step description.

From the figure, the angle opposite to side $\bar{O A}$ is $∠ D$ and to side $\bar{O D}$ is $∠ A$ in $Δ A O D$ .

According to theorem that if two sides of a triangle are congruent, then the angles opposite to those sides are congruent.

Therefore the congruent angles are $∠ D ≅ ∠ A$ .

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If $Δ A O D$ is isosceles, with $\bar{O A} ≅ \bar{O D}$ . Then $∠≅ ∠$ ?

Short Answer

Step by step solution

Step 1. Consider the figure.

Step 2. Apply the concept of isosceles triangles.

Step 3. Step description.

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IfΔAOD is isosceles, with OA¯≅OD¯. Then∠__≅∠__?

Short Answer

Step by step solution

Step 1. Consider the figure.

Step 2. Apply the concept of isosceles triangles.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

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If $Δ A O D$ is isosceles, with $\bar{O A} ≅ \bar{O D}$ . Then $∠≅ ∠$ ?