Complete with,, or. NAME UNIT # ASSIGN # HINGE

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1 UI # I # HI HI HR 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 VR H HI HR If two sides of one triangle are congruent to two sides of another triangle, and the third side of the first is longer than the third side of the second, then the included angle of the first is larger than the included angle of the second omplete with,, or..? 2.? 3. m? m 2 0 H 2 0. m? m 2.?. m? m H H RIH WR.) If = and > 2 then U IQUI RI RRII H VU x RI H HI HR R I VR.) If > and = then 9.) If m9 < m0 and = then.) 0.) If = and = then x.) 30 3x 2 3 WR.) m > m.) >.) >.) m3 + m = m + m 3.) 3 (3x ) x

2 UI # I # RI IQUI HR If one side of a triangle is longer than another side, then the angle opposite the longer side is larger than the angle opposite the shorter side HR If one angle of a triangle is larger than another angle then the side opposite the larger angle is longer than the side opposite the smaller angle RIR IQUI he measure of an exterior angle of a triangle is greater than the measure of either of the two nonadjacent interior angles RI IQUI he sum of the lengths of any two sides of a triangle is greater than the length of the third side ame the shortest and longest sides of the triangle R 3 Q 0 ame the smallest and largest angles of the triangle... R. U V 9 W ist the sides in order from shortest to longest... H J Q 3 I 3 ist the angles in order from smallest to largest K 0

3 UI # I # I RI I RI segment that connects the midpoints of two sides of a triangle I HR he segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long I, I,, and R H II H I. WR H WI: U H RH HW:.) ind the coordinates of the endpoints of each midsegment using the midpoint formula y (2, 2) (, ) x (, 2).) is parallel to 2.) is parallel to 3.) If = then =.) If = then =.) Use the slope and the distance formula to verify that the midsegment theorem is true for.) If = then = In JK, I R,, and R H II H I. RK = 3, K =, and JK K J R.) ind the length of R.) ind the length of JK.) Use the slope and the distance formula to verify that the midsegment theorem is true for 3.) ind the length of R K 9.) ind the perimeter of JK 0.) ame all of the right angles in the diagram.) ind the perimeter of and I, I, and R H II H I.) If = 3x + an = 0x - then =.) If = x - and = 3x - then = R RI: How many triangles are there in the bicycle pictured below. eat or saddle eat post eat stay op tube eat tube own tube Head tube 3.) If m = then m =

4 UI # I # I and IU U H IUR HW H IV IRI I RI segment whose endpoints are a vertex of the trianle and the midpoint of the opposide side is the RI of K =, =, I = 9. and K RI RI he point of concurrency of the three medians of a triangle IU RI he perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side 9.) ind the length of K 0.) ind the length of K.) ind the length of.) ind the length of K J I RHR H RI he point of concurrency of the three altitudes of a triangle 3.) ind the length of J.) ind the perimeter of K URR I HR he medians of a triangle are concurrent at a point that is two thirds of the distance from each vertex to the midpoint of the opposite side URR IU RI he lines containing the altitudes of a triangle are concurrent U H IR H IV IRI II H RR WR IV: and.) name a median is the RI of =, = 3, and.) ind the length of.) ind the length of.) ind the length of.) ind the length of 9.) ind the length of 20.) ind the perimeter of 3 2.) name an altitude 3.) perpendicular bisector.) angle bisector U H RH HW 2.) ind the coordinates of, the midpoint of 22.) ind the length of the median 23.) ind the coordinates of the centroid, abel this point IV: mrv = mv, RU = U and R 2.) ind the coordinates of, the midpoint of. 2.) how that the quotient / = 2/3 V U ( 3, ) y (, ).) R is a/an.) V is a/an x.) U is a/an.) is a/an (, )

5 UI # I # RI IR RIUR IR RI line (ray or segment) that is perpendicular to a side of the triangle at the midpoint of the side.) he perpendicular bisectors of meet at point. ind. URR I hree or more lines that intersect at in the same point. I URR he point of intersection of concurrent lines. IRUR he point of concurrency of the perpendicular bisectors of a triangle IR RI bisector of an anlgle of the triangle. 9.) he angle bisectors of meet at point. ind. IR he point of concurrency of the angle bisectors of the triangle. URR RIUR IR he perpendicular bisectors of a triangle intersect at a point that is equidistant from the vertices of the triangle.) ind I. 0 not drawn to scale URR IR RI he angle bisectors of a triangle intersect at a point that is equidistant from the sides of the triangle. 0 I H II UR I H R:.) he perpendicular bisectors of meet at point. ind. I.) he angle bisectors of meet at point. ind. 3 2.) he angle bisectors of meet at point. ind. 9 3.) ind. 3.) he perpendicular bisectors of meet at point. ind.

6 UI # I # IR I I H IR? RIUR IR segment, ray, line or plane that is perpendicular to a segment at its midpoint. QUII means having the same distance.).) RIUR IR HR If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment VR H RIUR IR HR If a point is equidistan from the endpoints of a segment, then it is on the perpendicular bisector of the segment. IR HR If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle VR H IR HR If a point is in the interior of an angle and is equidistant from the sides of the angle, then it lies on the bisector of the angle UI, I H II I.) U RW I RIUR H I at 2.). I I H RIUR IR? 3.)...).) IV H I I H IR. WR H WI 9.) If m = then m = 0.) If = then =.) If then what can you conclude about point?.) Is? Why? I H UR H UR 3.) m =.) m =.) m2 =.) m =.) m3 =.) m = ) 9.) m = 23.) m = 20.) m2 = 2.) m = 2.) m3 = 2.) m = 22.) m = 2.) m =