Question

The figure shows two parallel lines KL and NO cut by the transversals KO and LN.


KL and NO are parallel lines and KO and LN are transversals. The transversals intersect at M. Angle LKM is labeled 1, angle KLM is labeled 2, angle KML is labeled 3, angle NMO is labeled 4, angle MNO is labeled 6 and angle MON is labeled 5.


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

Answer 1

Answer:

(A)  

Step-by-step explanation:

From the given figure, we have to prove whether the two given triangles are congruent or similar.

Thus, From the figure, ∠3=∠4 (Vertically opposite angles)

Since, KL and NO are parallel lines and KO and LN are transversals, then

measure angle 1= measure angle 5 that is ∠1=∠5(Alternate angles).

Thus, by AA similarity rule, ΔKLM is similar to ΔONM.

Thus, Option A that 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 is correct.

Answer 2

Answer:A)

Step-by-step explanation:

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