Question

I would really appreciate it if you could help me please

Answer 1

Yes, triangle GYK is similar to triangle BAK.

Explanation:

The sides of each triangle are proportional to each other.

Take the longest side of each triangle. You are comparing line AK with line KY.

The proportion is 15/25.

Now, take the shortest side of each triangle. You are comparing line KB with GK.

The proportion is 6/10.

To determine if the triangles are proportional, we can see if the two proportions are equal to each other:

15/20=6/10

3/5=6/10

Correct! 3/5 equals to 6/10. Therefore, the two triangles are similar because their sides are proportional.

Hope this helps :)

Answer 2

O Yes!

Explanation:

We would check whether the proportionality of their sides is equal

Taking proportionality

=
`(6)/(10) = (15)/(25)`

Cross Multiplying

6 × 25 = 15 × 10

150 = 150

So, ΔABK is similar to ΔGKY