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.