Using Triangle Similarity Theorems Answers

Points S and T are midpoints of the sides of triangle FGH.

Consider the proof.Given: Segment AB is parallel to line DE. Prove:

Point A is the midpoint of side XZ and point B is the midpoint of side YZ.

Triangle D E F is cut by line segment A B. Line segment A B goes from side D E to side F E. Lines D F and A B are parallel. The length of A B is 4.2 feet, the length of D A is 2 feet, the length of F B is 2.4 feet, and the length of B E is 7.8 feet.

Triangle E G F is cut by line H J. Line H J goes from side E G through side G F. Lines E F and H J are parallel.

Triangle X Y Z is cut by line segment C D. Line segment C D goes from side X Y to side Y Z. The length of C D is 15, the length of X Z is 18, the length of C Y is 25, and the length of Y D is 20. Lines C D and X Z are parallel.

Triangle H J K is cut by line segment A B. Line segment A B goes from side H J to side H K. The length of H A is 5.25 inches, the length of H B is 3 inches, and the length of B K is 5 inches.