Chapter 4: Q2. (page 136)

For the following figure, if $Δ B O C$ is isosceles with $\bar{O B} ≅ \bar{O C}$ then $∠≅ ∠$ .

Short Answer

Expert verified

Then $∠ C ≅ ∠ B$

Step by step solution

Step 1. Check the figure.

Consider the figure.

Step 2. Apply the concept of isosceles triangle.

Property of isosceles triangle states 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 $\bar{O B} = \bar{O C}$ .

Here the angle opposite to side $\bar{O B}$ is $∠ C$ and the angle opposite to side $\bar{O C}$ is $∠ B$ in $Δ B O C$ .

Since if the two sides of a triangle are congruent then the angles opposite to those sides are congruent then $∠ C ≅ ∠ B$ .

Therefore, the congruent angles are $∠ C ≅ ∠ B$ .

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For the following figure, if $Δ B O C$ is isosceles with $\bar{O B} ≅ \bar{O C}$ then $∠≅ ∠$ .

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of isosceles triangle.

Step 3. Step description.

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For the following figure, if ΔBOCis isosceles with OB¯≅OC¯then∠__≅∠__.

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of isosceles triangle.

Step 3. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

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Theoretical and Mathematical Physics

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For the following figure, if $Δ B O C$ is isosceles with $\bar{O B} ≅ \bar{O C}$ then $∠≅ ∠$ .