# Using Triangle Similarity Theorems

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 Use the converse of the side-splitter theorem to determine if TU || RS. Which statement is true? a. Line segment TU is parallel to line segment RS because 32/36 = 40/45. Points O and N are midpoints of the sides of triangle DEF. What is DM? c. 38 cm Points A and B are midpoints of the sides of triangle QRS. What is SA? c. 4 m Consider the paragraph proof. Given: D is the midpoint of AB, and E the midpoint of AC. Prove: DE = 1/2 BC Which is the missing information in the proof? a. a If V is the midpoint of QS and W is the midpoint of RS, then what is VS? d. 20 units What is the length of DC? b. 3 units If CX = 5 units, then DZ = _______ units. 4 Using the side splitter theorem, which segment length would complete the proportion? GH/HE = ?/JF c. GJ Which statements about triangle JKL are true? Check all that apply. N is the midpoint of line segment JL. MN = 1/2 KJ Points A, B, and C are midpoints of the sides of right triangle DEF. Which statements are true? Check all that apply. (The formula for the area of a triangle is A = 1/2bh.) AC = 5 cm BA = 4 cm The perimeter of triangle ABC = 12 cm

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