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Tool Bag Formulas, equations, Vocabulary, etc.

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8-4 & 6: Triangles and Congruent Polygons

Name

Date

Period

Tool Bag

Formulas, equations,

Vocabulary, etc.

Here’s How…Notes & Examples

Objective

To find angles in triangles and polygons, and determine if

figures are congruent.

Title:

Acute Triangle

has 3 acute angles

Right Triangle

has 1 right angle.

Acute Triangle

Obtuse Triangle

has 1 obtuse angle.

Right Triangle

Obtuse Triangle

Angles of a

Triangle

z°

y°

x°

x° + y° + z° = 180°

8-4 & 6: Triangles and Congruent Polygons

Name

Date

Period

Tool Bag

Formulas, equations,

Vocabulary, etc.

Here’s How…Notes & Examples

Congruent Figures

have the same size and shape.

A

F

D

Title:

KLM RQS

ABCDEF

Angles Equal

Sides Equal

B

BCEF

ABDE

MK RS

ACDF

ML SQ

KL RQ

BE

AD

CF

M S

L Q

K R

C

E

Example 1

Are these triangles congruent?

K

Q

S

21°

65°

94°

21°

94°

65°

M

L

R

Match up angles

and sides:

8-4 & 6: Triangles and Congruent Polygons

Name

Date

Period

Tool Bag

Formulas, equations,

Vocabulary, etc.

Here’s How…Notes & Examples

Example 2

Given the following quadrilaterals, find x, y, and z:

PQSR WTUV

T

S

Title:

6y

R

75°

132°

W

18

WT PQ

PR WV

R V

x + 5

70°

12

75°

11z°

Q

P

24

V

U

Find x:

Find y:

x + 5 = 12

6y = 24

x + 5 - 5 = 12 - 5

6y 24

=

x = 7

6 6

Find z:

y = 4

132 = 11z

132 11z

=

11 11

12 = z