Chs Geometry Unit 5 Triangles

Front 1

The sum of all angles in a triangle is 180 degrees.

Back 1

Triangle Sum Theorem

Front 2

The measure of an exterior angle of a triangle is equal to the sum of the 2 remote interior angles.

Back 2

Exterior Angle Theorem

Front 3

A triangle with all sides congruent

Back 3

Equilateral Triangle

Front 4

A triangle with 2 sides congruent

Back 4

Isosceles Triangle

Front 5

A triangle with no sides congruent

Back 5

Scalene Triangle

Front 6

An isosceles triangle has _______ congruent angles.

Back 6

2

Front 7

An equilateral triangle has _______ congruent angles

Back 7

3

Front 8

A scalene triangle has _______ congruent angles.

Back 8

0

Front 9

Name the exterior angle(s)

Back 9

Angle W

Front 10

Name the remote interior angle(s)

Back 10

Angle X and Y

Front 11

If two sides and the included angle of one triangle are congruent to the corresponding two sides and the included angle of another triangle, then the two triangles are congruent.

Back 11

SAS Congruence Theorem

Front 12

If two angles and the non-included side of one triangle are congruent to the corresponding two angles and non-included side of another triangle, the triangles are congruent.

Back 12

AAS Congruence Theorem

Front 13

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.

Back 13

ASA Congruence Theorem

Front 14

If three sides of one triangle are congruent to the corresponding sides of another triangle, then the triangles are congruent.

Back 14

SSS Congruence Theorem

Front 15

If the hypotenuse and a leg of a right triangle are congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.

Back 15

HL Congruence Theorem

Front 16

The _____________ is the point where the angle bisectors of a triangle intersect. This point is equidistant from each side of the triangle.

Back 16

INcenter

Front 17

A(n) ________________ triangle has all angle measures less than 90 degrees

Back 17

Acute

Front 18

A(n) ________________ triangle has one angle with a measure greater than 90 but less than 180.

Back 18

Obtuse

Front 19

A(n) ________________ triangle has all angle measures congruent.

Back 19

Equiangular

Front 20

A(n) ________________ triangle has a 90 degree angle.

Back 20

Right

Front 21

The angles that are congruent in this triangle are called_____________ angles.

Back 21

Base

Front 22

The sides that are congruent in this triangle are called ______________.

Back 22

Legs

Front 23

The line segement that connects a vertex to the midpoint of the opposite side is called a(n)___________

Back 23

Median

Front 24

The segments (red lines) that split an angle into two congruent parts are called _______________

Back 24

Angle Bisectors

Front 25

The segment from the vertex & perpendicular to the base or height of a triangle (red line) is called a(n)___________

Back 25

Altitude

Front 26

The angle in this isosceles triangle that is not congruent to the others is called the ___________ angle.

Back 26

Vertex

Front 27

The point of concurrency for the perpendicular bisectors of a triangle is called the ____________. This point is equidistant from the vertices.

Back 27

Circumcenter

Front 28

The medians of a triangle intersect at the _______.

Back 28

Centroid

Front 29

The point of concurrency of the altitudes (the point where the altitudes intersect) is called ________.

Back 29

Orthocenter

Front 30

The point where 3 or more lines intersect.

Back 30

Point of Concurrency