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Is this answer correct if not can u explain to me why it's not?

Is this answer correct if not can u explain to me why it's not?-example-1

1 Answer

4 votes

ANSWER

Similar by SSS

Step-by-step explanation

To see if the two triangles are similar or not, we have to compare the angles or sides of the triangles and see if there is a similarity either in the angles or in the ratio of sides.

Since we are given no information on the angles, we need to compare the ratio of similar sides of both triangles.

From the figures, we see that the following sides are similar to one another:

QS and TV

RQ and UT

UV and RS

Now, find the ratio of each of them:

QS : TV = 15 : 42 = 5 : 14

RQ : UT = 25 : 70 = 5 : 14

UV : RS = 30 : 84 = 5 : 14

Since all sets of sides have the same ratio, then we can conclude that the two triangles are similar by SSS (meaning Side Side Side)

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User Bradley Thomas
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