# Relationships IN Triangles Crossword Puzzle

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## Relationships In Triangles

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8 a line, segment, or a ray that passes through the midpoint of the side and is also perpendicular to that side
11 Sum of the lengths of any two sides of a triangle is greater than the length of the third side
12 the largest angle in a triangle is opposite the
13 circumcenter of a triangle is equdisitant from the vertices of the triangle
15 the incenter of a triangle is equidistant from each side of the triangle
16 three or more lines intersect at a common point
17 is opposite the shortest side
18 the lines point of intersection is called this
19 centroid of a triangle is located two thirds of the distance from a vertex to the midpoint of the side opposite the vertex on a median is called this
20 in two triangles, if two sides are congruent then the measure of the included angle determines which triangle has longer third side is called
21 assuming that the conclusion is false, and then showing other accepted facts
22 in two triangles, if two sides are congruent then the length of the third side determines which triangle has the included angle with the greater measure
1 intersection point of the altitudes of a triangle
2 a segment from vertex to the line containing the opposite side and perpendicular to the ling containing that side and every triangle has three of these
3 the angle bisectors of a triangle are congruent, and their point of concurrency is called this
4 the perpendicular segment from a point to a plane is the BLANK segment from the point to the plane
5 sum of two lengths of any two sides of a triangle is BLANK than the length of the length of the third side
6 in an indirect proof, the conclusion is assumed BLANK, and a contradiction is reached
7 the assumption has been proven false, so the original conclusion must be true, a proof of this type is known as
9 is an angle is an exterior of a triangle, then it measure is greater than the measure of either of its corresponding remote interior angles is called
10 the point of balance for any triangle
14 a segment whose endpoints are a vertex of a triangle and the midpoint of the side opposite the vertex and every triangle has this