Geometry Final Exam Review By: 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?

If angle 1 is 85 degrees, what is angle 4? Angle 4 is 95 degrees.

If angle 4 is 115 degrees, what is angle 2? Angle 2 is 115 degrees.

An _______ triangle has 2 sides of equal length. isosceles

A _______ triangle has three angles that measure less than 90 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 does x = ____________ 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 and the included angle of two triangles are congruent then the two triangles are congruent? SAS

A ______has four congruent sides and four 90 degree angles. square

A triangle with one angle more than 90 degrees and 2 angles less than 90 degrees. Obtuse

A _____ triangle has two sides that are equal. isosceles

When you add all the sides of a polygon you get the ________. perimeter

A ___ is a quadrilateral with two parallel 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 1 st triangle is larger than the included angle of the 2 nd, then the third side of the 1 st triangle is longer than the 3 rd side of the 2 nd triangle? SAS Inequality Theorem

A _____ is a polygon With four sides. quadrilateral

Angle ABC is bisected by BX. Angle ABX is 32 o. What does Angle XBC = Angle ABC = 32 64

With two supplementary angles, if one angle is 123 degrees, what is the other angle? fifty-seven degrees

Two angles that add up to 90 degrees are _____ angles. complimentary

1.Rectangle 2.Square 3.Rhombus What are the three types of parallelograms?

A ____ has four sides and has opposite sides congruent and parallel. parallelogram

An _______ is formed by two rays joined at a 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 with one 90 degree angle and two angles less than 90 degrees. right

A series of points that goes endlessly on in both directions is called a ______. line

30 What is the measure Of the third angle? 120 degrees

∆ ABC has the following angles: A= 70 B= 55 C= 55 What kind of triangle is this? Which side is the longest? isoscelesBC

The point at which two rays join together to form an angle is called a _______. 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?

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 of angle 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.Congruent 2.Supplementary 3.Congruent

Angles 2 and 4 are ___ angles? vertical

A _______ polygon has 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 of the 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 side is 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= 108 o

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 ______________.

What theorem says, if two sides of one triangle are congruent to two sides of another triangle, but the 3 rd side of the 1 st triangle is larger than the 3rd side of the 2 nd, then the included angle of the 1 st triangle is larger than the included angle of the 2 nd triangle? SSS Inequality Theorem

Angle B Which angle is the largest? A B C

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

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