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Chapter 4: Q6. (page 160)

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

Given:RY炉鈮�SY炉;鈭�R鈮�鈭�S

Short Answer

Expert verified

No, it cannot be deduced from the given information that鈻�RXY鈮�鈻�SXY.

Step by step solution

01

- Observe the given diagram.

The given diagram is:

02

- Description of step.

It is being given thatRY炉鈮�SY炉 and鈭�R鈮�鈭�S.

In the triangles鈻�RXY and 鈻�SXY, the side that is common is XY.

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

In the triangles 鈻�RXY and鈻�SXY , it can be noticed that鈭�R鈮�鈭�S,XY炉鈮�XY炉 andRY炉鈮�SY炉.

Therefore, it can be noticed that the triangles 鈻�RXY and 鈻�SXYcannot be proved congruent by using any of the postulates.

Therefore, it cannot be deduced that the triangles 鈻�RXY and 鈻�SXYare congruent triangles.

03

- Write the conclusion.

No, it cannot be deduced from the given information that 鈻�RXY鈮�鈻�SXY.

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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.

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.

State whether the congruence of triangles have the reflexive property, the symmetric property, the transitive property.

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

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

螖IGB鈮�__
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