Question

I NEED HELP WITH 16 17 AND 18

Answer 1

16. Yes.

Triangle EAB is similar to EDC

AAA postulate

17. No

18. Yes.

Triangle NOP is similar to NLM

AAA postulate

Explanation:

16. Angle N of both triangles is equal because it's common to both.

Angle A = Angle D

And

Angle B = Angle C

Because alternate angles

17. One pair of sides is parallel but there's no information about other two sides being in the same ratio, or the distribution of angle being the same so we can't consider the two to be similar

18. Angle E of both triangles is equal because they are vertically opposite.

Angle O = Angle L

And

Angle P = Angle M

Because corresponding angles

Answer 2

Answers and Step-by-step explanations:

16. Yes; we can see that AB || CD, so by definition of alternate angles, angles BAE and CDE are equal. In addition, angles AEB and CED are vertical angles, so by definition, they are congruent. Then by the AA Similarity Theorem, triangles AEB and CED are similar.

17. No; we see that KL = NO and that angles KLJ and NOM are congruent. However, there is no other indication (whether it's same angles or corresponding sides with the same ratio) that we can use to prove the two triangles are similar. So, these triangles are not similar.

18. Yes; we can see that ML || PO, so by definition of corresponding angles, angles NML and NPO are equal. In addition, we can obviously see that angles MNL and PNO are literally the same angle. So by AA Similarity Theorem, triangles MNL and PNO are similar.

Hope this helps!