# Geometry and Trig Chapter 3 vocab

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Congruent figures

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### 41 Terms

1

Congruent figures

two or more figures with the same shape & size

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2

Triangle

a 3 sided polygon

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3

6 parts of a triangle

3 angles and 3 sides

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4

congruent polygons

all pairs of corresponding parts (sides/angles) are congruent

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5

congruent triangles

all 6 pairs of parts of a triangle are congruent

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6

reflexive property

an angle or segment is congruent to itself

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7

included angle

angle formed by 2 sides of a triangle

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8

included sides

the common side between 2 angles of a triangle

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9

Side Side Side Postulate

if 3 sides of a triangle are congruent to the corresponding 3 sides of a 2nd triangle then the triangles are congruent

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10

Side Angle Side Postulate

if 2 sides and their included angle of a triangle are congruent to the corresponding 2 sides and their included angle of a 2nd triangle then the triangles are congruent

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11

Angle Side Angle Postulate

if 2 angels and their included side of a triangle are congruent to the corresponding 2 angles and their included angle of a 2nd triangle then the triangles are congruent

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12

CPCTC

Corresponding Parts Congruent Triangles Congruent

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13

Circle

an infinite collection of points that are the same distance from a central point (known as the center)

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14

Center

The point at the same distance from all the points of a circle

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15

a segment with an endpoint on a circle and an endpoint that is the center of the circle

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16

Circumference

C = 2πr

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17

Area

A = πr^2

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18

types of triangles

Scalene, Isosceles, equilateral, and equiangular

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19

Scalene triangle

A triangle with no congruent sides

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20

Isosceles triangle

A triangle with at least 2 congruent sides

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21

Equilateral triangle

A triangle with all 3 sides congruent

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22

Equiangular triangle

a triangle with all 3 angles congruent

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23

legs of isosceles triangle

Congruent sides of isosceles triangles

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24

base of isosceles triangle

non-congruent side of isosceles triangle

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25

Vertex angles

angle of an isosceles triangle when sides are the legs of the triangle

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26

Base angles

angles of an isosceles triangle who have the base as one of their sides

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27

Angle classification

acute, right, and obtuse

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28

acute

A triangle which has 3 acute angles

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29

right

a triangle with exactly one right angle

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30

obtuse

a triangle with exactly 1 obtuse angle

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31

triangle sum theorem

the measure of the 3 interior angles of a triangle sum to 180 degrees

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32

No choice theorem

if 2 angles form one triangle congruent to the 2 angles in the second triangle the pair of angles are congruent

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33

Angle Angle Side Postulate

if two angles and one side form a triangle congruent to the two angels and side in the second triangle the triangles are congruent

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34

Hypotenuse

side opposite the right angle in a right triangle

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35

legs of a right triangle

two side in a right triangle that form the right angle

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36

median

a segment drawn from the vortex of a triangle to the midpoint of the opposite side

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37

altitude

a segment drawn from the vortex of a triangle perpendicular to the opposite side (extend if necessary)

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38

Angle side

• if two sides in a triangle are congruent then the angles opposite those sides are also congruent

• if two angles in a triangle are congruent then the sides opposite them are congrurent

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39

Angle side for Scalene triangles

• if two sides of a triangle are not congruent, then the angles opposite then are also not congruent and the larger angle is opposite the larger side

• if two angles of a triangle are not congruent, then the sides opposite of them are also not congruent and the longer side is opposite if the larger angle

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40

Hypotenuse leg Postulate

if the hypotenuse and a leg of a right triangle are congruent to the corresponding hypotenuse and leg of a 2nd right triangle then the triangles are congruent

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41

auxiliary lines postulate

2 points that make a segment

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