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Chapter 4: Q2CE. (page 123)

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

Short Answer

Expert verified

The triangles are congruent with 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, two sides and the included angle of one triangle are congruent to two sides and included angle of another triangle.

Therefore, the triangles are congruent with SAS 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.

Plot the given points on graph paper. Draw 螖FAT. Locate point Cso that role="math" localid="1638337170606" 螖FAT鈮�螖CAT.

role="math" localid="1638337180452" F7,5role="math" localid="1638337224388" A-2,2role="math" localid="1638337234009" T5,2

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

A鈭�1,0B鈭�5,4C鈭�6,1D1,0E5,4.

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

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?
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