Answer:
Scale Factor
Side Congruency
AL ≅ TD
TK ≅ AH
DK ≅ LH
Angle Congruency
∠A ≅ ∠T
∠D ≅ ∠L
∠H ≅ ∠K or ∠K ≅ ∠H
Explanation:
Scale Factor
First, to determine the scale factor, I will choose two corresponding segments: AL and TD.
By counting on the graph, I can see that they are the following lengths:
Therefore the ratio of the large triangle to the small triangle is 15:3. Written as a fraction and simplified, this is:
5 is the scale factor, or k.
Congruency
Each segment on the small triangle corresponds to the same side on the large triangle. Therefore:
AL ≅ TD
TK ≅ AH
DK ≅ LH
The same goes for the angles, except the angles are actually equal as well:
∠A ≅ ∠T
∠D ≅ ∠L
The bottom of your image is cut off, but I assume the question is one of these:
∠H ≅ ∠K
∠K ≅ ∠H