Question

Triangle E F G. Side E F is 6 meters, F G is 5 meters, E G is 7 meters. Angle F is 87 degrees and angle G is 58 degrees. Triangle K L J. Side K L is 28 meters, L J is 24 meters, J K is 20 meters. Angle K is 58 degrees, L is 35 degrees, J is 87 degrees. What can you conclude about these triangles? Check all that apply.

Answer 1

Answer:

• Similar triangles

Step-by-step explanation:

Refer to attached

Given:

ΔEFG

• EF =6 m, FG = 5m, EG = 7 m
• ∠F = 87°, ∠G= 58°,  ∠E = 180° -(87°+58°) = 35°

ΔLJK

• KL= 28 m, LJ = 24 m, JK = 20 m
• ∠J = 87°, ∠K = 58°, ∠L = 35°

We can see that:

• ∠F≅∠J, ∠G ≅ ∠K, ∠E ≅ ∠L

and

• KL/EG = LJ/EF = JK/FG = 28/7= 24/6= 20/5 = 4

So the corresponding angles are congruent and corresponding sides are similar

We can conclude that the triangles are similar