nevergivingup32
contestada

which statement describes the relationship, if any, that exists between triangle KLM and triangle NPQ?

1.) They are similar because their corresponding angles are congruent and their corresponding side lengths are in the ratio (3/2) from KLM to NPQ

2.) They are similar because their corresponding angles are congruent and their corresponding side lengths are in the ratio (2/1) from KLM to NPQ

3.) They are not similar because their corresponding angles are not congruent

4.) Thry are not similar because their corresponding side lengths are not proportional

which statement describes the relationship if any that exists between triangle KLM and triangle NPQ 1 They are similar because their corresponding angles are co class=

Respuesta :

Answer:

i think it is 2

Step-by-step explanation:

hope this helps i just finnished with this unit so my mind is still fresh

boffeemadrid

Answer:

(B)

Step-by-step explanation:

It is given that KLM and NPQ are the two triangles in which ∠L=∠P, ∠K=∠N and ∠M=∠Q. Also, KL=16, LM=22, KM=12, NP=8, PQ=11 and NQ=6.

Now, From ΔKLM and ΔNPQ, applying the basic proportionality theorem, we have

[tex]\frac{LK}{NP}=\frac{LM}{PQ}=\frac{KM}{NQ}[/tex]

[tex]\frac{16}{8}=\frac{22}{11}=\frac{12}{6}=\frac{2}{1}[/tex]

which holds, and thus the two triangles are similar as their corresponding sides are in the ratio 2:1 from KLM to NPQ.

Also, it is given that ∠L=∠P, ∠K=∠N and ∠M=∠Q that is the corresponding angles are congruent.

therefore, the two triangles  similar because their corresponding angles are congruent and their corresponding side lengths are in the ratio 2:1 from KLM to  NPQ.

Hence, option B is correct.

Otras preguntas