West Chapter 4 Geometry

Front 1

triangle

Back 1

formed by 3 segments joining 3 noncollinear points

Front 2

You can name every triangle
________ different ways

Back 2

6

Front 3

All 3 angles are acute

Back 3

acute triangle

Front 4

One angle is obtuse

Back 4

obtuse triangle

Front 5

One angle is right

Back 5

right triangle

Front 6

All 3 angles are congruent.

Back 6

equiangular triangle

Front 7

No sides are congruent

Back 7

scalene triangle

Front 8

At least 2 sides are congruent

Back 8

isosceles triangle

Front 9

Vertex of a triangle

Back 9

Where two legs come together

Front 10

A base angle is at either end of the

Back 10

base of a triangle

Front 11

2 legs make a _______ triangle

Back 11

right

Front 12

All interior angles add up to _______
in a triangle

Back 12

180

Front 13

Theorem 4:2 Exterior Angle theorem

Back 13

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

Front 14

corollary

Back 14

is a statement that can be proved easily using theorems

Front 15

Corollary to the triangle sum theorem

Back 15

The acute angles of a right triangle are complementary.

Front 16

Exterior angle

Back 16

an angle where one side is the triangle and one side is the extended piece

Front 17

interior angles are

Back 17

angles inside of the triangle

Front 18

exterior angle

Back 18

angles adjacent to the interior angle

Front 19

scalene triangle

Back 19

no congruent sides

Front 20

two sides sharing a common vertex are

Back 20

adjacent sides

Front 21

Each of the three points joining the sides of a triangle is a

Back 21

vertex

Front 22

The sides opposite the right angle is the ________ of the triangle

Back 22

Hypotenuse

Front 23

When the sides of a triangle are extended, other ______ are formed

Back 23

angles

Front 24

The acute angles of a right triangle are _________

Back 24

complementary

Front 25

Can a scalene triangle be equiangular?

Back 25

no

Front 26

Can an isosceles triangle be obtuse

Back 26

yes

Front 27

Can a right triangle be equilateral

Back 27

no

Front 28

The ratio of the measures of the angles in a triangle is 3:2:1. Find the measures

Back 28

90,60,30

Front 29

The hypotenuse of a right triangle is always the side opposite the right angle and is the ___________ side

Back 29

longest

Front 30

The legs of an __________ triangle are always the sides that are congruent.

Back 30

isosceles

Front 31

obtuse scalene triangle

Back 31

none of the sides are the same and there is at least one obtuse angle

Front 32

6 exterior angles in a

Back 32

triangle

Front 33

acute isosceles

Back 33

classified by size and angle

Front 34

right scalene

Back 34

No sides are equal and there is a right angle

Front 35

angle measures 20, 145, 15 degrees

Back 35

describes a obtuse triangle

Front 36

An interior angle of a triangle and one of its adjacent exterior angles are _______ SUPPLEMENTARY.

Back 36

ALWAYS

Front 37

The acute angles of a right triangle are ___________ complementary.

Back 37

always

Front 38

A triangle _____has a right angle and an obtuse angle.

Back 38

never

Front 39

An interior angle of a triangle and one of its adjacent exterior angles are _______ SUPPLEMENTARY.

Back 39

ALWAYS

Front 40

An isosceles triangle is ________ an equilateral triangle.

Back 40

sometimes

Front 41

An obtuse triangle is ________ an isosceles triangle.

Back 41

sometimes

Front 42

In an equilateral triangle all the sides can be the

Back 42

legs or base

Front 43

An equilateral triangle is also ______________;however, the term equilateral is more specific and therefore the better term to describe a triangle with three congruent sides.

Back 43

isosceles

Front 44

The ____________ of a right triangle is always the side opposite the right angle and is the longest side.

Back 44

Hypotenuse

Front 45

The _____ of an isosceles triangle are always the sides that are congruent.

Back 45

legs

Front 46

congruent

Back 46

there is a corresponsdence between their angles and sides such that corresponding angles are congruent and corresponding sides are congruent

Front 47

Single, double, and triple arcs are used to show

Back 47

congruent angles

Front 48

Can you draw an acute scalene triangle?

Back 48

Yes

Front 49

Can you draw an obtuse equilateral triangle?

Back 49

no

Front 50

Can you draw a right isosceles triangle?

Back 50

yes

Front 51

Can you draw a scalene equiangular triangle?

Back 51

no

Front 52

Can you draw a right scalene triangle?

Back 52

yes

Front 53

Corresponding parts are

Back 53

matching parts

Front 54

_____________ have the same shape and the same size. They look exactly alike.

Back 54

Congruent

Front 55

Two triangles are _________ if and only all 6 pairs of corresponding parts are congruent.

Back 55

congruent

Front 56

__________ parts of congruent triangles are congrent

Back 56

Corresponding

Front 57

To match up the triangles, try to _________,flip, or _______

Back 57

slide, rotate

Front 58

_____ congruent triangles have 3 pairs of congruent sids and 3 pairs of congruent sides.

Back 58

Two

Front 59

SSA

Back 59

is not a congruence postulate

Front 60

SAS

Back 60

The congruent angles have to be in between the congruent sides

Front 61

Explain the difference between SSS and SAS congruence postulate.

Back 61

Both are used to prove triangles congruent.
SSS is used when three sides of one triangle are congruent to three sides of a second triangle.
SAS is used when two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle.

Front 62

Reflexive property

Back 62

anything congruent to itself

Front 63

Knowing that all pairs of ___________parts of congruent triangles are congruent can help you reach conclusions about congruent figures.

Back 63

corresponding

Hint 63

corr...

Front 64

Steps for proofs

Back 64

1. Copy the diagram
2. Mark the given info on the diagram with tic marks
3. Mark any additional info that you can deduce

Front 65

How many parts do you need to prove triangles congruent?

Back 65

3

Front 66

Once you have 3 congruent parts in the correct you can

Back 66

stop the proof and know that you have proven the two triangles congruent.

Front 67

In a proof, you write the given as your ______step.

Back 67

first

Front 68

Def. of angle bisector

Back 68

Splits an angle into two equal parts.

Front 69

Can you use the follwoing info to prove 2 triangles congruent?
ASA

Back 69

yes

Front 70

Can you use the following info to prove 2 triangles congruent?
AAA
SSA

Back 70

no