Using Triangle Similarity Theorems Answers

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

Points O and N are midpoints of the sides of triangle DEF.

Points A and B are midpoints of the sides of triangle QRS.

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.

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

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

Triangle A B C is cut by line segment D E. Line segment D E goes from side A B to B C. Lines A C and D E are parallel. The length of A D is 3, the length of D B is 5, the length of B E is 4, and the length of E C is question mark. StartFraction B D Over D A EndFraction = StartFraction B E Over E C EndFraction. StartFraction 5 Over 3 EndFraction = StartFraction 4 Over E C EndFraction

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 R Q S is cut by line segment T U. Line segment T U goes from side Q R to side Q S. The length of Q T is 32, the length of T R is 36, the length of Q U is 40, and the length of U S is 45.

Triangle Q R S is cut by line segment V W. Point V is the midpoint of side Q S and point W is the midpoint of side R S. The length of Q R is 3 a + 6, the length of V W is 2 a minus 2, and the length of V S is 2 a.