unit four

Question 0

segment containing the midpoints of two sides of a triangle is parallel to the third side and 1/2 as long as that side

Answer 0

mid segment theorem

Question 1

segment that connects midpoints of two sides of triangle

Answer 1

midsegment of triangle

Question 2

a point is _________ from two figures if the point is the same distance from each figure

Answer 2

equidistant

Question 3

3+ lines intersecting at exactly one point

Answer 3

concurrent lines

Question 4

point of intersection

Answer 4

point of concurrency

Question 5

segment from vertex to midpoint of opposite side

2/3:1/3

Answer 5

median of triangle

Question 6

perpendicular segment from vertex to opposite side

can be inside, outside, or on

Answer 6

altitude of triangle

Question 7

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

Answer 7

perpendicular bisector theorem

Question 8

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

Answer 8

converse to the perpendicular bisector theorem

Question 9

point of concurrency perpendicular bisectors

Answer 9

circumcenter

Question 10

(type of point of concurrent point)
equidistant from all three points of triangle
can be inside/outside triangle

Answer 10

circumcenter

Question 11

the _________ of the sides of a triangle are concurrent at the point equidistant from the vertices of the triangle (circumcenter)

Answer 11

perpendicular bisectors

Question 12

point of concurrency for angle bisectors

Answer 12

incenter

Question 13

(type of concurrent point)
equidistant from all three sides of triangle [measured perpendicularly]
must be inside triangle

Answer 13

incenter

Question 14

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

Answer 14

angle bisector theorem

Question 15

if a point on the interior of an angle is equidistant form the sides of the angle, then it is on the angle bisector

Answer 15

converse to angle bisector theorem

Question 16

point of concurrency for medians

Answer 16

centroid

Question 17

(type of concurrent point)
2/3:1/3 from side to vertex
vertex to midpoint of opposite side

Answer 17

centroid

Question 18

point of concurrency for altitude

Answer 18

orthocenter

Question 19

(type of concurrent point)
perpendicular from vertex to opposite side
on/inside/outside

Answer 19

orthocenter

Question 20

if one side of a triangle is longer than another side, then the angle opposite the longer side is _________ than the angle opposite the shorter side

Answer 20

larger

Question 21

the one angle of a triangle is larger than another angle, then the side opposite the larger angle is _______ than the side opposite the smaller angle

Answer 21

longer

Question 22

the sum of any two sides of a triangle is _______ the length of the third side

Answer 22

greater than

triangle inequality theorem