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Geometry Final Exam ReviewBy: L. Keali’i Alicea
A ________ has six
sides.
hexagon
A ___________ triangle has no sides equal.
scalene
ASA
When 2 angles and an included side of 2 triangles are congruent then the two triangles are said to be congruent by which postulate?
1
23
4
If angle1 is 85 degrees,what isangle 4?
Angle 4 is 95 degrees.
1
23
4
If angle4 is 115 degrees,what isangle 2?
Angle 2 is 115 degrees.
An _______ triangle has 2 sides of equal length.
isosceles
A _______ triangle has three angles thatmeasure less than90 degrees.
acute
Two lines that are equal distance apart and never intersect are ______ lines.parallel
5
M is the midpoint of line AB. If AM=4x+6 and AB=52, what doesx = ____________ MB=___________52
If x=7, then 3x=21.
What is the converse of,
If 3x=21, then x=7.
What postulate says, if two sides andthe included angle of two triangles are congruent then the two triangles are congruent?
SAS
A ______has fourcongruent sides andfour 90 degreeangles.
square
A triangle with oneangle more than 90degrees and 2 anglesless than 90 degrees.
Obtuse
A _____ triangle hastwo sides that are equal.
isosceles
When you add all the sides of a polygon you get the ________.perimeter
A ___ is a quadrilateral with twoparallel sides.
trapezoid
Lines not in the same plane that are not parallel nor intersect.
Skew lines
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 the2nd, then the third side of the 1st triangle is longer than the 3rd side of the 2nd triangle?
SAS Inequality Theorem
A _____ is a polygonWith four sides.
quadrilateral
Angle ABC is bisected by BX. Angle ABX is 32o . What does
Angle XBC =
Angle ABC =
32
64
With two supplementary angles,if one angle is 123degrees, what is the other angle?
fifty-seven degrees
Two angles that add up to 90 degrees are _____angles.
complimentary
1.Rectangle2.Square3.Rhombus
What are the three typesof parallelograms?
A ____ has foursides and has oppositesides congruent andparallel.
parallelogram
An _______ is formedby two rays joined ata vertex.
angle
Vertical angles are_______ in measurement.
equal
If the bases of a trapezoid are 14 & 24,what is the median?
18
_______ lines are two lines that intersect to form two right angles.
perpendicular
Altitude
A segment from a vertex of a triangle perpendicular to the line that contains the opposite side.
A _____ has four sides, opposite sides equal and parallel, 4-90 degree angles.
rectangle
A triangle withone 90 degree angle and two angles less than90 degrees.
right
A series of points thatgoes endlessly on inboth directions is called a ______.line
30 30What is the measureOf the third angle?
120 degrees
∆ ABC has the following angles:A= 70B= 55C= 55What kind of triangle is this?Which side is the longest?
isosceles BC
The point at whichtwo rays join together to forman angle is calleda _______.
vertex
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 23 4
5 67 8
If angle 1 = 125 degrees,What does angle 8 equal?
125
With two complimentary angles,if angle 1 is 58 degrees,what is the measure ofangle 2?
thirty-two degrees
1
2
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.Congruent2.Supplementary3.Congruent
1 3
4
2
Angles 2 and 4are ___ angles?
vertical
A _______ polygonhas equal sides.
regular
AAS
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?
50 degrees
What is the measure ofthe other angle?
130 degrees
What is the contrapositive of: If 3x=21, then x=7.
If x ≠7, then 3x ≠ 21.
median
A segment from a vertex of a triangle to the midpoint of the opposite sideis the ___________ .
(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) 6,7,132) 8,12,173) 5,5,5
1)No2)Yes3)Yes
Collinear
Points on the same line are said to be
______________.
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?
SSS Inequality Theorem
Angle B
Which angle is the largest?
A
BC
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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