Geometry Final Exam Review

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# Geometry Final Exam Review - PowerPoint PPT Presentation

Geometry Final Exam Review. By: L. Keali’i Alicea. hexagon. A ________ has six sides. scalene. A ___________ triangle has no sides equal. When 2 angles and an included side of 2 triangles are congruent then the two triangles are said to be congruent by which postulate? . ASA.

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Geometry Final

Exam Review

By: L. Keali’i Alicea

hexagon

A ________ has six

sides.

scalene

A ___________

triangle has

no sides equal.

When 2 angles and an included side of 2 triangles are congruent then the two triangles are said to be congruent by which postulate?

ASA

Angle 4 is 95 degrees.

If angle

1 is 85

degrees,

what is

angle 4?

1

4

2

3

Angle 2 is 115 degrees.

If angle

4 is 115

degrees,

what is

angle 2?

1

4

2

3

isosceles

An _______ triangle has 2 sides of equal length.

acute

A _______ triangle

has three angles that

measure less than

90 degrees.

Two lines that are

equal distance apart

and never intersect

are ______ lines.

parallel

x = ____________ MB=___________

5

52

What is the converse of,

If 3x=21, then x=7.

If x=7, then 3x=21.

What postulate says, if two sides and

the included angle of two triangles

are congruent then the two triangles

are congruent?

SAS

square

A ______has four

congruent sides and

four 90 degree

angles.

Obtuse

A triangle with one

angle more than 90

degrees and 2 angles

less than 90 degrees.

isosceles

A _____ triangle has

two sides that are

equal.

sides of a polygon you

get the ________.

perimeter

trapezoid

A ___ is a

parallel sides.

Skew lines

Lines not in the same

plane that are not

parallel nor intersect.

SAS Inequality Theorem

What theorem says, if two sides of

one triangle are congruent to two

sides of another triangle, but the

included angle of the 1st triangle is

larger than the included angle of the

2nd, then the third side of the 1st

triangle is longer than the 3rd side of

the 2nd triangle?

A _____ is a polygon

With four sides.

fifty-seven degrees

With two

supplementary angles,

if one angle is 123

degrees, what is the

other angle?

complimentary

Two angles that

degrees are _____

angles.

What are the three types

of parallelograms?

• Rectangle
• Square
• Rhombus

parallelogram

A ____ has four

sides and has opposite

sides congruent and

parallel.

angle

An _______ is formed

by two rays joined at

a vertex.

Vertical angles are

_______ in

measurement.

equal

18

If the bases of a

trapezoid are 14 & 24,

what is the median?

perpendicular

_______ lines are

two lines that

intersect to form

two right angles.

Altitude

A segment from a vertex of a triangle perpendicular to the line that contains the opposite side.

rectangle

A _____ has four

sides, opposite sides

equal and parallel,

4-90 degree angles.

right

A triangle with

one 90 degree

angle and two

angles less than

90 degrees.

A series of points that

goes endlessly on in

both directions is

called a ______.

line

120 degrees

30

30

What is the measure

Of the third angle?

isosceles

BC

∆ ABC has the following angles:

A= 70

B= 55

C= 55

What kind of triangle is this?

Which side is the longest?

vertex

The point at which

two rays join

together to form

an angle is called

a _______.

HL Theorem

What theorem says that when the hypotenuse and leg of one triangle is congruent to the hypotenuse and leg of another triangle then the two triangles are congruent?

1

2

3

4

125

5

6

7

8

If angle 1 = 125 degrees,

What does angle 8 equal?

thirty-two degrees

With two

complimentary angles,

if angle 1 is 58 degrees,

what is the measure of

angle 2?

2

1

If angle 1 is 135

degrees, what is

angle 2?

45 degrees

1. Alternating interior angles are__________

2. Same side angles are ___________

3. Corresponding angles are ___________.

• Congruent
• Supplementary
• Congruent

Angles 2 and 4

are ___ angles?

4

vertical

1 3

2

regular

A _______ polygon

has equal sides.

When 2 angles and the non-included side of 2 triangles are congruent then the two triangles are said to be congruent by which postulate?

AAS

130 degrees

50 degrees

What is the measure of

the other angle?

What is the contrapositive of:

If 3x=21, then x=7.

If x ≠7, then 3x ≠ 21.

A segment from a vertex of a triangle

to the midpoint of the opposite side

is the ___________ .

median

(n-2)180/n, where n= # of sides

What is the formula for figuring out the measure of each interior angle of a regular polygon?

What is the measure of each interior angle of a regular pentagon?

(5-2)180/5= 108o

What is the inverse of:

If 3x=21, then x=7.

If 3x ≠ 21, then x ≠7.

SSS

When three sides of two triangles are congruent, then the two triangles are said to be congruent by _________.

Collinear

Points on the same line are said to be

______________.

SSS Inequality Theorem

What theorem says, if two sides of

one triangle are congruent to two

sides of another triangle, but the 3rd

side of the 1st triangle is larger than the 3rd side of the 2nd, then the included angle of the 1st triangle is larger than the included angle of

the 2nd triangle?

Angle B

Which angle is the largest?

A

C

B

35o

The vertex of an isosceles triangle is 110o what is the measure of each base angle?

Rhombus

A quadrilateral with four congruent sides, diagonals are perpendicular, diagonals bisect its angles.