Using Triangle Similarity Theorems Answers

Which statements about triangle JKL are true? Select two options.

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.

Triangle A B C is cut by line segment D E. Line segment D E goes from side A C to line A B. The length of A E is 12, the length of E B is 4, and the length of A D is 9.

Which statements are true? Select three options. (The formula for the area of a triangle is A = bh.)

Consider the paragraph proof.Given: D is the midpoint of AB, and E is the midpoint of AC.Prove:DE = BCIt is given that D is the midpoint of AB and E is the midpoint of AC. To prove that DE is half the length of BC, the distance formula, d = , can be used to determine the lengths of the two segments. The length of BC can be determined with the equation BC = , which simplifies to 2a. The length of DE can be determined with the equation DE = , which simplifies to ________. Therefore, BC is twice DE, and DE is half BC.

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

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

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

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.

Points J and K are midpoints of the sides of triangle FGH.

Points D and E are midpoints of the sides of triangle ABC. The perimeter of the triangle is 48 units.