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Chapter 4: Q3 (page 123)

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

Short Answer

Expert verified

The triangles are congruent by SAS postulates.

Step by step solution

01

Step 1. Apply the concept of the SAS postulate.

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, one side and one angle of one triangle are congruent to one side and one angle of another triangle also one side is common to both triangles.

Therefore, the triangles are congruent by SAS postulates.

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Most popular questions from this chapter

OR¯is a common side of two congruent quadrilaterals.

Complete: quad. NERO≅quad ?¯.

Draw and label a diagram. List, in terms of the diagram, what is given and what is to be proved. Then write a two-column proof.

If a line perpendicular to AB¯passes through the midpoint of AB¯, and segments are drawn from any other point on that line to and , then two congruent triangles are formed.

Decide whether you can deduce by the SSS, SAS, or ASA postulate that another triangle is congruent to ΔABC. If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.

For the following figure, do the SAS postulates justify that the two triangles are congruent?

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