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Which statement best explains the relationship between Triangle KLM and Triangle ONM?


Triangle KLM is similar to triangle ONM because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5

Triangle KLM is similar to triangle ONM because measure of angle 3 equals measure of angle 6 and measure of angle 1 equals measure of angle 4

Triangle KLM is congruent to triangle ONM because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5

Triangle KLM is congruent to triangle ONM because measure of angle 3 equals measure of angle 6 and measure of angle 1 equals measure of angle 4

Which statement best explains the relationship between Triangle KLM and Triangle ONM Triangle KLM is similar to triangle ONM because measure of angle 3 equals

Answer :

As the Line KL is Parallel to NO and We can Notice that LN and KO are the Transversals to these Parallel Lines :

Angle 1 = Angle 5 (Because they are Alternate Interior Angles)

Angle 3 = Angle 4 (Because they are Vertically Opposite Angles)

Angle 2 = Angle 6 (Because they are Alternate Interior Angles)

As All the Three angles of KLM are Equal to All Three angles of ONM , We can Conclude that Triangle KLM is Similar to that of Triangle ONM

Note : Triangle KLM is not Congruent to Triangle ONM because Triangle KLM Size is Smaller than Triangle ONM

So the Answer is :

Triangle KLM is similar to Triangle ONM because measure of Angle 3 Equals measure of Angle 4 and Measure of Angle 1 equals measure of Angle 5

First Statement Best explains the Relationship between Triangle KLM and Triangle ONM

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Rewritten by : Barada

Final answer:

Triangles KLM and ONM may be similar if their corresponding angles are equal, as similar triangles have angles of the same measure. Without information about the side lengths, we cannot determine if the triangles are congruent.

Explanation:

To determine the relationship between Triangle KLM and Triangle ONM, we look at the corresponding angles and their measures. Triangles are similar if they have the same shape, which means corresponding angles are equal and corresponding sides are in proportion. Triangles are congruent if they have the same shape and same size, meaning all corresponding angles and sides are equal.

If we have two pairs of angles that are the same (Angle 3 equals Angle 4 and Angle 1 equals Angle 5 or Angle 6), it suggests these triangles could be similar. However, for triangles to be congruent, you need all corresponding angles and sides to be the same, which is not discussed here. Without more information on the side lengths, we cannot say for certain that the triangles are congruent, only that they might be similar based on the angle measures provided.