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If triangle MNO is similar to triangle PQR, which statement is true about the two triangles?



Segment NO is proportional to segment QR, and angles M and P are congruent.


Segment MN is congruent to segment PQ, and angles O and R are congruent.


Segment NO is proportional to segment QR, and angles M and P are proportional.


Segment MN is congruent to segment PQ, and angles O and R are proportional.

Verified Answer :

AlfabetSewp

The first one. Segment NO is proportional to segment QR, and angles M and P are congruent.

In similar triangles, their angles are congruent but their sides are only proportional. That is why the last three are not true.

Answer:

Option 1 is correct.

Step-by-step explanation:

Given if If triangle MNO is similar to triangle PQR, we have to choose the true statement about the two triangles.

As the two triangles are similar therefore their corresponding sides are proportional angle angles are congruent.

In the option 1,

Segment NO is proportional to segment QR, and angles M and P are congruent.

which is the correct option.

Option 2: Segment MN is congruent to segment PQ, and angles O and R are congruent.

If two triangles are similar then its not compulsory corresponding sides are congruent these are proportional.

Not correct.

Option 3: Segment NO is proportional to segment QR, and angles M and P are proportional.

here, angles must be congruent.

Not correct.

Option 4: Segment MN is congruent to segment PQ, and angles O and R are proportional.

If two triangles are similar then its not compulsory corresponding sides are congruent these are proportional.

Not correct.

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