Geometry and Trig Chapter 3 vocab

studied byStudied by 66 people
3.3(3)
get a hint
hint

Congruent figures

1 / 40

Tags and Description

41 Terms

1

Congruent figures

two or more figures with the same shape & size

New cards
2

Triangle

a 3 sided polygon

New cards
3

6 parts of a triangle

3 angles and 3 sides

New cards
4

congruent polygons

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

New cards
5

congruent triangles

all 6 pairs of parts of a triangle are congruent

New cards
6

reflexive property

an angle or segment is congruent to itself

New cards
7

included angle

angle formed by 2 sides of a triangle

New cards
8

included sides

the common side between 2 angles of a triangle

New cards
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

New cards
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

New cards
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

New cards
12

CPCTC

Corresponding Parts Congruent Triangles Congruent

New cards
13

Circle

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

New cards
14

Center

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

New cards
15

radius

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

New cards
16

Circumference

C = 2πr

New cards
17

Area

A = πr^2

New cards
18

types of triangles

Scalene, Isosceles, equilateral, and equiangular

New cards
19

Scalene triangle

A triangle with no congruent sides

New cards
20

Isosceles triangle

A triangle with at least 2 congruent sides

New cards
21

Equilateral triangle

A triangle with all 3 sides congruent

New cards
22

Equiangular triangle

a triangle with all 3 angles congruent

New cards
23

legs of isosceles triangle

Congruent sides of isosceles triangles

New cards
24

base of isosceles triangle

non-congruent side of isosceles triangle

New cards
25

Vertex angles

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

New cards
26

Base angles

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

New cards
27

Angle classification

acute, right, and obtuse

New cards
28

acute

A triangle which has 3 acute angles

New cards
29

right

a triangle with exactly one right angle

New cards
30

obtuse

a triangle with exactly 1 obtuse angle

New cards
31

triangle sum theorem

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

New cards
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

New cards
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

New cards
34

Hypotenuse

side opposite the right angle in a right triangle

New cards
35

legs of a right triangle

two side in a right triangle that form the right angle

New cards
36

median

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

New cards
37

altitude

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

New cards
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

New cards
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

New cards
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

New cards
41

auxiliary lines postulate

2 points that make a segment

New cards

Explore top notes

note Note
studied byStudied by 10 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 7 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 7 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 16 people
Updated ... ago
5.0 Stars(2)
note Note
studied byStudied by 4 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 3 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 8 people
Updated ... ago
5.0 Stars(1)
note Note
studied byStudied by 2637 people
Updated ... ago
5.0 Stars(5)

Explore top flashcards

flashcards Flashcard124 terms
studied byStudied by 87 people
Updated ... ago
4.4 Stars(7)
flashcards Flashcard100 terms
studied byStudied by 17 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard101 terms
studied byStudied by 2 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard45 terms
studied byStudied by 10 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard94 terms
studied byStudied by 6 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard120 terms
studied byStudied by 36 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard35 terms
studied byStudied by 12 people
Updated ... ago
5.0 Stars(1)
flashcards Flashcard74 terms
studied byStudied by 3 people
Updated ... ago
5.0 Stars(1)