geometry review

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Geometry Final Exam Review
By L. Kealii Alicea
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hexagon
A ________ has six sides.
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scalene
A ___________ triangle has no sides equal.
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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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Angle 4 is 95 degrees.
If angle 1 is 85 degrees, what is angle 4?
1
4
2
3
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Angle 2 is 115 degrees.
If angle 4 is 115 degrees, what is angle 2?
1
4
2
3
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isosceles
An _______ triangle has 2 sides of equal length.
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acute
A _______ triangle has three angles that measure
less than 90 degrees.
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Two lines that are equal distance apart and
never intersect are ______ lines.
parallel
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M is the midpoint of line AB. If AM4x6 and
AB52, what does x ____________ MB___________
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52
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What is the converse of, If 3x21, then x7.
If x7, then 3x21.
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What postulate says, if two sides and the
included angle of two triangles are congruent
then the two triangles are congruent?
SAS
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square
A ______has four congruent sides and four 90
degree angles.
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Obtuse
A triangle with one angle more than 90 degrees
and 2 angles less than 90 degrees.
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isosceles
A _____ triangle has two sides that are equal.
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When you add all the sides of a polygon you get
the ________.
perimeter
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trapezoid
A ___ is a quadrilateral with two parallel sides.
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Skew lines
Lines not in the same plane that are not
parallel nor intersect.
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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?
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quadrilateral
A _____ is a polygon With four sides.
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Angle ABC is bisected by BX. Angle ABX is 32o .
What does Angle XBC Angle ABC
32
64
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fifty-seven degrees
With two supplementary angles, if one angle is
123 degrees, what is the other angle?
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complimentary
Two angles that add up to 90 degrees are
_____ angles.
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What are the three types of parallelograms?

1. Rectangle
2. Square
3. Rhombus

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parallelogram
A ____ has four sides and has opposite sides
congruent and parallel.
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angle
An _______ is formed by two rays joined at a
vertex.
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Vertical angles are _______ in measurement.
equal
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If the bases of a trapezoid are 14 24, what is
the median?
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perpendicular
_______ lines are two lines that intersect to
form two right angles.
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Altitude

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

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rectangle
A _____ has four sides, opposite sides equal
and parallel, 4-90 degree angles.
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right
A triangle with one 90 degree angle and two
angles less than 90 degrees.
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A series of points that goes endlessly on in both
directions is called a ______.
line
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120 degrees
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30
What is the measure Of the third angle?
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isosceles
BC
? ABC has the following angles A 70 B 55 C
55 What kind of triangle is this? Which side is
the longest?
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vertex
The point at which two rays join together to
form an angle is called a _______.
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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?

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1
2
3
4
125
5
6
7
8
If angle 1 125 degrees, What does angle 8 equal?
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thirty-two degrees
With two complimentary angles, if angle 1 is 58
degrees, what is the measure of angle 2?
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2
1
If angle 1 is 135 degrees, what is angle 2?
45 degrees
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1. Alternating interior angles are__________ 2.
Same side angles are ___________ 3. Corresponding
angles are ___________.

• Congruent
• Supplementary
• Congruent

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Angles 2 and 4 are ___ angles?
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vertical
1 3
2
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regular
A _______ polygon has equal sides.
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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
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130 degrees
50 degrees
What is the measure of the other angle?
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What is the contrapositive of If 3x21, then
x7.
If x ?7, then 3x ? 21.
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A segment from a vertex of a triangle to the
midpoint of the opposite side is the ___________
.
median
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(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
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What is the inverse of If 3x21, then x7.
If 3x ? 21, then x ?7.
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SSS

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

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• Determine whether the following triangle sides
  are possible
• 6,7,13
• 8,12,17
• 5,5,5

1. No
2. Yes
3. Yes

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Collinear

• Points on the same line are said to be
• ______________.

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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?
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Angle B

• Which angle is the largest?

A
C
B
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35o

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

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Rhombus

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