5.1-5.4 Vocab

Question 1

Midsegment of a triangle

Answer 1

segment connecting the midpoints of two sides of the two triangles

Question 2

Equidistant

Answer 2

same distance

Question 3

Distance from a point to a line

Answer 3

length of the perpendicular segment from the point to the line

Question 4

Conncurrent

Answer 4

when three or more lines intersect at one point

Question 5

Point of concurrencey

Answer 5

the intersection point of concurrent lines

Question 6

Circumcenter in a traingle

Answer 6

point of concurrency of the perpendicular bisectors of a triangle

Question 7

Circumscribed about

Answer 7

when all verticies of a shape are on the edge of a circle and are equidistant from the center, the circle is circumscribed about the shape

Question 8

Incenter of a triangle

Answer 8

point of concurrency of the angle bisectors of a triangle

Question 9

Inscribed in

Answer 9

a circle is inscribed in another shape, when the incenter of the shape is the center of the circle

Question 10

Median of a triangle

Answer 10

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

Question 11

Centroid of a triangle

Answer 11

point of concurrency of the medians, center of gravity, always inside

Question 12

Altitude of a triangle

Answer 12

perpendicular segment from a vertex of the triangle to the line containing the opposite side, can be inside, outside, or a side of the triangle

Question 13

orthocenter of a triangle

Answer 13

point of concurrency of the altitudes, can be inside, outside, or on the triangle

Question 14

Triangle Midsegment Theorem

Answer 14

If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and is half as long

Question 14

Concurrency of angle bisectors theorems

Answer 14

the bisectors of angles of a triangle are concurrent at a point equidistant from the sides of a triangle

Question 14

Perpendicular Bisector Theorem

Answer 14

If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment

Question 14

Concurrency of altitudes theorem

Answer 14

the lines that contain the altitudes of a triangle are concurrent

Question 14

Angle Bisector Theorem

Answer 14

If a point is on the bisector of a angle, then the point is equidistant from the sides of the angle

Question 14

Converse of the perpendicular Bisector theorem

Answer 14

If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment

Question 15

Concurrency of perpendicular bisectors theorem

Answer 15

The perpendicular bisectors of the sides of a triangle are concurrent at a point equidistant from the sides of a triangle

Question 15

Converse of the angle bisector theorem

Answer 15

If a point is in the interior of a angle is equidistant from the sides of the angle, then the point is in the angle bisector

Question 15

Concurrency of medians theorem

Answer 15

The medians of a triangle ate concurrent at a point that is two thirds and one third the distance from each vertex to the midpoint to the opposite side

Question 16

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