Question

Which statement is not used to prove that ALKM is similar

to ANOM?


K


IN


M


L


O Angle K is congruent to itself, due to the


reflexive property.


O Angles MON and MKL are congruent, due to


the corresponding angles postulate.


O KM is a transversal intersecting LK and ON.


O Segments KL and ON are parallel.

Answer 1

To prove that ALKM is similar to ANOM, we need to show that the corresponding angles are congruent and the corresponding sides are proportional.

Step-by-step explanation:

To prove that ALKM is similar to ANOM, we need to show that the corresponding angles are congruent and the corresponding sides are proportional.

1. Angle K is congruent to itself, due to the reflexive property. This proves that ALKM and ANOM have corresponding congruent angles.
2. Angles MON and MKL are congruent, due to the corresponding angles postulate. This further supports the similarity of the two triangles.
3. KM is a transversal intersecting LK and ON. This doesn't directly prove the similarity of the triangles, as transversals don't establish similarity, but it is a statement related to the triangles in question.
4. Segments KL and ON are parallel. This statement doesn't directly prove the similarity of the triangles, as parallel segments don't establish similarity, but it is a statement related to the triangles in question.

Answer 2

The statement not used to prove the similarities of the triangles is (a) Angle K is congruent to itself, due to the reflexive property

Which statement is not used to prove the similarities of the triangles

From the question, we have the following parameters that can be used in our computation:

The triangles LKM and NOM

From the figure, we have that

• Angles MON and MKL are congruent, due to the corresponding angles postulate.
• KM is a transversal intersecting LK and ON.
• Segments KL and ON are parallel.

Using the above as a guide, we have the following:

The statement not used is (a) Angle K is congruent to itself, due to the reflexive property