Chap. 5 Vocabulary Flashcards

1
Q

If a circle is inside a triangle, touching each side, then the circle is said to be _____ in the triangle.

A

inscribed

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2
Q

The _____ from a point to a line is the length of the perpendicular segment from the point to the line.

A

distance

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3
Q

If a triangle is inside a circle, touching at each vertex, then the circle is said to be _____ about the triangle.

A

circumscribed

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4
Q

A segment that connects the midpoints of two sides of a triangle and is parallel to the third is _____

A

midsegment of a triangle

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5
Q

The point of concurrency of the lines containing the altitudes of a triangle

A

orthocenter

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6
Q

A line, ray, or segment that is perpendicular to a side of a triangle at the midpoint of the side.

A

perpendicular bisector

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7
Q

_____, meaning the same distance.

A

equidistant

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8
Q

The point of concurrency of the angle bisectors of a triangle

A

incenter

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9
Q

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 opposite the larger included angle.

A

hinge theorem

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10
Q

Three or more lines that intersect at the same point.

A

concurrent lines

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11
Q

A proof involving indirect reasoning.

A

indirect proof

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12
Q

The point of concurrency of the perpendicular bisectors of a triangle.

A

circumcenter

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13
Q

A ray that divides an angle into two adjacent angles that are congruent.

A

angle bisector

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14
Q

In this reasoning, all possibilities are considered and then all but one are proved false.

A

indirect reasoning

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15
Q

The perpendicular segment from a vertex of a triangle to the opposite side or to the line that contains the opposite side.

A

altitude

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16
Q

The point of concurrency of the medians of a triangle.

A

centroid

17
Q

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

A

triangle inequality theorem

18
Q

A segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side.

A

median

19
Q

The point of intersection of concurrent lines.

A

point of concurrency