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1) A segment that connects the midpoints of two sides of the triangle Answer: C 2) A segment from one vertex of the triangle to the midpoint of the opposite side Answer: LM 3) A perpendicular segment from one vertex of the triangle to the opposite side or a line containing the opposite side. Answer: x 1 4) A ray that divides an angle into two angles that are congruent. Answer: No 5) The point of concurrency of the three medians of the triangle. 1 Answer: y x 2 2 6) The point of concurrency of the three angle bisectors of the triangle. Answer: AC 7) The point of concurrency of the three altitudes of the triangle. Answer: 6 x 20 8) The point of concurrency of the three perpendicular bisectors of the triangle. Answer: 100 9) A segment, ray, line, or plane that is perpendicular to a segment at its midopoint. Answer: 2,2 10) If two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is longer than the third side of the second. Answer: 18 11) Which side in the figure is the longest side? N 70 105 L 30 65 M Answer: Centroid P 12) For the triangle shown, VS 5 and VQ 6. Then PQ ? . P T S 5 R V 6 Q Answer: Midsegment 13) What is the value of “x” B 2x 1 x 1 A 3x 1 C Answer: Perpendicular Bisector 14) PR is an altitude of PQR. What kind of triangle is PQR? Answer: AB 15) If two sides of a triangle are 7 and 13. What are the possible values of the third side? Answer: 8 16) In the figure PQ is an altitude of PQR, find mQSP ? P S x Q 2x 40 R Answer: Angle Bisector 17) What are the coordinates of a point equidistant from the vertices of this triangle? y x Answer: Median 18) Given the following triangle, what is an equation for a line that is the median? y x Answer: Hinge Theorem 19) Given the angles of a triangle, which side is the smallest. mA 12x 9, mB 623x , mC 16x 2. Answer: Orthocenter 20) What is the shortest side in this triangle? A 57 C 47 76 B Answer: Altitude 21) What is the largest angle in this triangle A 3x 4 C 3x 1 3x Answer: Right B 22) Does the following sides lengths form a triangle? Answer: Incenter 23) Use the Hinge theorem to determine the restrictions on the value of x for the following figure. 1 Answer: x 2 24) JK is a midsegment. If DF 18x 6 and JK 3x 11, what is LF ? Answer: Circumcenter 25) Point L is the centroid of NOM . If ML10x 4 and MR 12x 18, then what is the value of x. Answer: 10