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Chapter 4: Q6. (page 142)

For the following figure, state which congruence method can be used to prove the triangle congruent. If no method applies, say none.

Short Answer

Expert verified

The triangles are congruent by the SASpostulate.

Step by step solution

01

Step 1- Apply the concept of the SAS postulate.

SASpostulates 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, in both the triangles one pair of equal sides and one pair of right angles also, one side which is common to both the triangle.

Therefore, the triangles are congruent by SASpostulates.

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Most popular questions from this chapter

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

State whether the congruence of triangles has the reflexive property, the symmetric property, the transitive property.

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

OR炉is a common side of two congruent quadrilaterals.

Complete: quad. NERO鈮�quad ?炉.

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