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Chapter 4: Q8. (page 160)

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

Given:鈭�RXY鈮�鈭�SXY ; RX炉鈮�SX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 SAS postulate.

Step by step solution

01

- Observe the given diagram.

The given diagram is:

02

- Description of step.

It is being given that鈭�RXY鈮�鈭�SXY and RX炉鈮�SX炉.

In the triangles鈻�RXY and 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, and鈭�RXY鈮�鈭�SXY.

Therefore, the triangles 鈻�RXYand 鈻�SXYare the congruent triangles by using the SAS 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 SAS postulate.

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Most popular questions from this chapter

In the following figure, the two-triangle shown are congruent. Then complete the following statement.

AO炉鈮�___

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.

For the following figure, does the SAS postulates justify that the two triangles are congruent.

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

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