Answer:
Which statements about the relationship between the two triangles below are true
- Angle C is congruent to angle S (true)
- Angle D is congruent to angle T (true)
- Triangle D C A is similar to triangle T S R (true)
The rest are false.
Complete question;
Which statements about the relationship between the two triangles below are true? Check all that apply. Triangle A C D. Angle D is 60 degrees and angle A is 74.9 degrees. Triangle R S T. Angle R is 74.9 degrees and angle S is 45.1 degrees.
- Angle C is congruent to angle T
- Angle C is congruent to angle S
- Angle D is congruent to angle T
- Triangle D C A is congruent to triangle T S R
- Triangle D C A is similar to triangle T S R
- Triangle C A D is similar to triangle T R S
- Triangle C A D is congruent to triangle T R S
Explanation:
See attached image for more information;
Angle C = 180 - (60+74.9) = 45.1°
Angle T = 180 - (74.9+45.1) = 60°
Therefore;
Angle C = Angle S = 45.1°
Angle D = Angle T = 60°
And
Triangle D C A is similar to triangle T S R
(Note the order of the letters)
The two triangles are not congruent because the length of their sides are not the same.