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Chapter 4: Q3. (page 132)

Decide whether the two triangles must be congruent. If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.

Short Answer

Expert verified

螖JKX鈮�螖JKYby SAS (Side-Angle-Side) Postulate

Step by step solution

01

- First observation from figure

Line segment JK炉is common in both triangles.

So, by reflexive property of congruencyJK炉鈮�JK炉.

02

- Second observation from figure

Line segments XK炉and YK炉are congruent

So,role="math" localid="1648819888342" XK炉鈮�YK炉

03

- Third observation from figure

鈭�XKJand鈭�YKJ sre congruent

So,鈭�XKJ鈮�鈭�YKJ

04

- Conclude given two triangles are congruent or not

From step 1, 2, and 3

Two sides and there including angle is congruent

Thus, 螖JKX鈮�螖JKYby SAS (Side-Angle-Side) Postulate

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Most popular questions from this chapter

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

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.

Suppose that 螖BIG鈮�螖CAT, then complete the following statement.

___鈮�螖CTA

Suppose that 螖BIG鈮�螖CAT, then complete the following statement.

BI=__

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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