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Geometry Section 6 Vocabulary

Name: ___________________________________
Period: ___________________________________
Date: ____________________________________
Across
Every triangle has _____ medians.
The incenter is ___________ to the edges or sides of the triangle.
A circle that is circumscribed about a triangle is called a(n) ____________.
The midsegment of a triangle joins the midpoints of two sides of a triangle such that its length is ___ the length of the third sides of the triangle and it is parallel to the third side of the triangle.
________ of the Hinge Theorem: If two sides of one triangle are congruent to two sides of another triangle, and the third side of the first triangle is greater than the third side of the second triangle, then the included angle of the first triangle is larger than the included angle of the second.
A(n) ________ is a point of concurrency formed by the intersection of the three angle bisectors.
_____________ parts of congruent triangles are congruent (CPCTC).
Each median creates two _______ triangles.
The length from the vertex to the centroid is twice the length from the centroid to the midpoint of the side, which yields a(n) _____ of 2:1.
If two angles of one triangle are _________ to two angles of another triangle, then the two triangles are similar.
Similarity maintains the proportionality of corresponding _____.
The intersection of the three medians is called the ________, which is the point of concurrency for the medians of a triangle.
A(n) ______ of a triangle is the segment from a vertex to the midpoint of the opposite side.
Down
The center of the circle is the point of concurrency of the perpendicular bisectors of the triangle and is called the ____________.
______ Theorem: If two sides of one triangle are congruent to two sides of another triangle, and the included angles are not congruent, then the longer third side is ________ the larger included angle.
The midsegment of a triangle joins the midpoints of two sides of a triangle such that its length is half the length of the third sides of the triangle and it is ________ to the third side of the triangle.
If the lengths of the corresponding sides of two triangles are ____________, then the two triangles are similar.
If the lengths of two sides are proportional and their ________ angles are congruent on two different triangles, then the triangles are similar.
The __________ of a triangle joins the midpoints of two sides of a triangle such that its length is half the length of the third sides of the triangle and it is parallel to the third side of the triangle.
The length from the vertex to the centroid is _____ the length from the centroid to the midpoint of the side, which yields a ratio of 2:1.
________ is the type of transformation that results in similar figures.
The sum of the lengths of any two sides of a triangle is _______ than the length of the third side.
Similarity preserves congruence of corresponding ______.
The circumcenter is equidistant to the ________ of the triangle