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Chapter 4: Q4 (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 ASA postulate.

Step by step solution

01

Step 1. Apply the concept of the ASA postulate.

SAS postulate states 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, that two angles and the included side of one triangle are congruent to two angles and included side of another triangle.

Therefore, the triangles are congruent by ASA postulates.

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Most popular questions from this chapter

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.

is a common side of two congruent quadrilaterals.

For the following figure, (a) List two pairs of congruent corresponding sides and one pair of congruent corresponding angles in 螖YTRand 螖XTR. (b) Notice that, in each triangle, you listed two sides and nonincluded angle. Do you think that SSA is enough to guarantee that two triangles are congruent?

If 螖DEF鈮�螖RST,m鈭�D=100and m鈭�F=40. Name four congruent angles.

Plot the given points on graph paper. Draw 螖ABCand DE炉. Find two locations of pointF such that螖ABC鈮�螖DEF.
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