Chapter 5

Question 1

Perpendicular Bisector Theorom

Answer 1

If a point is on the perpendicular Bisector of a segment, then it is equidistant from the end points of the segment

Question 2

Converse of the perpendicular Bisector Theorom

Answer 2

If a point is equidistant from the end points of a segment, then it is on thee perpendicular Bisector of the segment.

Question 3

Angles Bisector Theorom

Answer 3

If a point is on thee Bisector of an angle, then It is equidistant from the sides of the angle

Question 4

Converse angle Bisector Theorom

Answer 4

If a point in the interior of an angle is equidistant from the sides of an angle, then It is on the Bisector of the angle

Question 5

Circumcenter Theorom

Answer 5

The circumcenter of a triangle is equidistant from the vertices

Question 6

Incenter Theorom

Answer 6

The incenter of a triangles is equidistant from the sides of the triangle

Question 7

Centroid Theorom

Answer 7

Thee centroid of a triathlete is located 2/3 of the distances from the vertex to thee end point of thee opposite side

Question 8

Triangles midsegment Theorom

Answer 8

The midsegment of a triangle is parallel to the third sides and half its length

Question 9

If two sides of a triangle are congruent, then…

Answer 9

The larger angle is opposite the large side

Question 10

If two angles of a triangle are not congruent then…

Answer 10

The longer side is opposite the larger angle.

Question 11

Triangle inequality Theorom

Answer 11

The sum of any two side lengths is greater than the third

Question 12

Hinges Theorom

Answer 12

If two sides on a triangle are congruent to two sides of another triangle and the included angles are not congruent then thee longer third side is across from the larger included angle

Question 13

Equidistant

Answer 13

Equal distance

Question 14

Locus

Answer 14

A set of points that satisfies the given condition

Question 15

Concurrent

Answer 15

3 or more lines that intersect in one point

Question 16

Point of concurrency

Answer 16

The point where three or more lines intersect

Question 17

Circumcenter

Answer 17

The point where the 3 perpendicular bisectors of the sides of a triangle intersect

Question 18

Circumscribed

Answer 18

Drawn around

Question 19

Incenter

Answer 19

Point of concurrency of the angle Bisector

Question 20

Median of a triangle

Answer 20

Segment drawn from a vertex to the midpoint of the opposite side

Question 21

Centroid

Answer 21

Point of concurrency of the median of a triangle

Question 22

Altitude of a triangle

Answer 22

Segment from a vertex to thee line containing the opposites side

Question 23

Orthocenter

Answer 23

Point of concurrency of the altitudes

Question 24

Mods weekend of a triangle

Answer 24

Segment who’s endpoint safe the midpoints of two sides of a triangle

Question 25

In a 30-60-90 triangle

Answer 25

The sides opposite the 60 degree angle equals the shorter keep times the square root of three

Question 26

In the 45-45-90 triangle

Answer 26

The hypotenuse equals a leg times thee square root of two