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Chapter 4: Q5. (page 160)

Can you deduce from the given information that 鈻�RXY鈮�鈻�SXY? If so, what postulate can you use?

Given:RX炉鈮�SX炉; RY炉鈮�SY炉

Short Answer

Expert verified

Yes, it can be deduced from the given information that鈻�RXY鈮�鈻�SXY.

The postulate that can be used is SSS postulate.

Step by step solution

01

- Observe the given diagram.

The given diagram is:

02

- Description of step.

It is being given thatRX炉鈮�SX炉andRY炉鈮�SY炉.

In the triangles鈻�RXYand 鈻�SXY, the side that is common isXY .

Therefore,XY炉鈮�XY炉 by using the reflexive property.

In the triangles 鈻�RXY and 鈻�SXY, it can be noticed thatRX炉鈮�SX炉,XY炉鈮�XY炉 andRY炉鈮�SY炉.

Therefore, the triangles鈻�RXY and 鈻�SXYare the congruent triangles by using the SSS postulate.

03

- Write the conclusion.

Yes, it can be deduced from the given information that鈻�RXY鈮�鈻�SXY.

The postulate that can be used is SSS postulate.

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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.

Copy and complete the proof.

1. Given: 鈭�P鈮�鈭�S;Ois the midpoint of PS炉. Prove: is the midpoint of RQ炉

Proof

Suppose that螖FIN鈮�螖WEB, then is the following statement is the correct way to say?

螖INF鈮�螖EWB

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

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

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