Which statement is true of triangles FGH and JKL?

Triangle F G H. Side F G is 5, side G H is 5, side F H is 6. Angle G is 74 degrees, angle H is 53 degrees, angle F is 53 degrees. Triangle J K L. Side J K is 10, K L is 10, J L is 12. Angle K is 74 degrees, angle L is 53 degrees, angle J is 53 degrees.

They are similar because their corresponding angles are congruent and their corresponding sides are congruent.

They are similar because their corresponding angles are congruent and their corresponding sides are proportional in length.

They are not similar because their corresponding angles are not proportional in measure.

They are not similar because their corresponding sides are not proportional in length.

Question

Mathematics

Nibbles

31 January, 10:49

Which statement is true of triangles FGH and JKL?

Triangle F G H. Side F G is 5, side G H is 5, side F H is 6. Angle G is 74 degrees, angle H is 53 degrees, angle F is 53 degrees. Triangle J K L. Side J K is 10, K L is 10, J L is 12. Angle K is 74 degrees, angle L is 53 degrees, angle J is 53 degrees.

They are similar because their corresponding angles are congruent and their corresponding sides are congruent.

They are similar because their corresponding angles are congruent and their corresponding sides are proportional in length.

They are not similar because their corresponding angles are not proportional in measure.

They are not similar because their corresponding sides are not proportional in length.

+1

Answers (2)

Know the Answer?

Joy Khan · Answer 1

They are similar because their corresponding angles are congruent and their corresponding sides are proportional in length.

Step-by-step explanation:

From the statements,

∠G≅∠K

∠F≅∠J

∠H≅∠L

The sides of triangle FGH are proportional to those of triangle JKL

FG/JK = GH/KL=FH/JL = 1/2

Jessie Graham · Answer 2

They are similar because their corresponding angles are congruent and their corresponding sides are proportional in length.

Step-by-step explanation:

i took the practice test.