Write the triangle similarity statement and the reason for why the triangles \triangle MNQ\sim \triangle? are similar.

he298c

he298c

Answered question

2021-08-05

Write the triangle similarity statement and the reason for why the triangles are similar. If they are not write the reason why.

MNQ? By: ?
What is the scale factor? ?

Answer & Explanation

gwibdaithq

gwibdaithq

Skilled2021-08-06Added 84 answers

Step 1
SAS or side angle side similiarty:
If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed by the two sides in both the triangle are equal, then two triangles are said to be similar.
We can see here MNQ=PNO (vertical angle)
And
MNQN=PNON=65
Therefore, by the property SAS similiarty rule we can say
MNQPNO By SAS
Step 2
Here, sale factor is 2.

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