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Chapter 4: Q7 (page 124)

For the following figure, can the triangle be proved congruent. If so, what postulate can be used?

Short Answer

Expert verified

The triangles are congruent by the SAS postulate.

Step by step solution

01

Step 1. Apply the concept of the SAS postulate.

SAS postulates state that if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.

02

Step 2. Check the figure.

Consider the figure.

03

Step 3. Step description.

From the figure, two sides of one triangle are congruent to two sides of another triangle also the included angles between two sides are equal as they are vertically opposite angles.

So, they must be equal.

Therefore, the triangles are congruent by SAS postulates.

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Most popular questions from this chapter

In the following figure, the two-triangle shown are congruent. Then complete the following statement.

螖ABO鈮�螖___

Plot the given points on graph paper. Draw 螖ABCand 螖DEF. Copy and complete the statement role="math" localid="1638345245002" 螖ABC鈮�?炉.

A1,1B8,1

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For the following figure, does the SAS postulates justify that the two triangles are congruent.
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