geometry review

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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.
1
2
3
4
If angle
1 is 85
degrees,
what is
angle 4?
Angle 2 is 115 degrees.
1
2
3
4
If angle
4 is 115
degrees,
what is
angle 2?
An isosceles
_______
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
parallel lines.
are ______
M is the midpoint of line
AB. If AM=4x+6 and
AB=52, what does
5
x = ____________
52
MB=___________
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.
When you add all the
sides of a polygon you
perimeter
get the ________.
trapezoid
A ___ is a
quadrilateral with two
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?
quadrilateral
A _____ is a polygon
With four sides.
Angle ABC is bisected by
BX. Angle ABX is 32o .
What does
Angle XBC = 32
Angle ABC = 64
fifty-seven degrees
With two
supplementary angles,
if one angle is 123
degrees, what is the
other angle?
complimentary
Two angles that
add up to 90
degrees are _____
angles.
What are the three types
of parallelograms?
1.Rectangle
2.Square
3.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
equal in
_______
measurement.
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
line
called a ______.
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?
7
5
3
8
1
6
4
2
125
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 ___________.
1. Congruent
2. Supplementary
3. Congruent
Angles 2 and 4
are ___ angles?
4
1
2
3
vertical
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 _________.
Determine whether the following triangle
sides are possible:
1)
6,7,13
2)
8,12,17
3)
5,5,5
1) No
2) Yes
3) Yes
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.
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