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Chapter 4: Q1. (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 ASApostulate.

Step by step solution

01

Step 1- Apply the concept of the ASA postulate.

ASApostulates state that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two 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 pair of vertically opposite angles which is equal.

So, they must be equal.

Therefore, the triangles are congruent by ASApostulates.

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Most popular questions from this chapter

Copy each three-dimensional figure and with coloured pencils outline the triangles listed. What postulate proves that these triangles are congruent?

Given: pyramid with square base;VA=VB=VC=VD

Show: △VAB,△VBC

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

Plot the given points on graph paper. Draw ΔFAT. Locate point C so that ΔFAT≅ΔCAT .

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.

Plot the given points on graph paper. Draw ΔABCand ΔDEF. Copy and complete the statement ΔABC≅?¯.

A−3,1B2,1C2,3

D4,3E(6,3)F6,8
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