145k views
1 vote
BRAINILEST!!!Mikel is determining if the two triangles below could be similar based on their side lengths.

Which statements accurately describe the triangles? Check all that apply.
The common ratio between the triangles is 3 because .
The common ratio between the triangles is 2.5 because .
The triangles could be similar.
The triangles could not be similar.
The ratios of the side lengths are not consistent.
The ratios of the side lengths are consistent.

BRAINILEST!!!Mikel is determining if the two triangles below could be similar based-example-1

1 Answer

7 votes

ANSWER

statements accurately describe the triangles

The triangles could not be similar.


The ratios of the side lengths are not consistent.


Reason

As shown in the diagram the sides of the triangle are given

Similarity property on the sides length of the triangle

The corresponding sides of the two triangles are proportional the triangles must be similar.


(WX)/(RT) = (18.0)/(8.0)

= 2.25


(WU)/(TS) = (15.0)/(6.0)

=2.5


(UX)/(RS) = (7.5)/(3.0)

=2.5

Thus by above we get

The ratios of the side lengths are not consistent.

thus triangles could not be similar.

Hence proved

User Ian Jacobs
by
8.2k points