Name: ______Date: ______Mr. Art & Mrs. Pagano Section: ______
Review #3 - Plane Geometry
Part I: Geometry Vocabulary True or False Write true or false on the line next to each statement.
______1) Two angles whose sum is 1800 are said to be complementary.
______2) An angle that measures 120o is obtuse.
______3) An angle that measures 200o is a reflex angle.
______4) Two supplementary angles are always a linear pair.
______5) Rays are part of a line that extends from one point indefinitely in one direction.
______6) A straight angle and a linear pair are the same thing.
______7) Parallel Lines intersect forming right angles.
Part II: Complementary & Supplementary
8) Given: m < 1 = (3x 15) o and m < 2 = (2x 10) o. < 1 & < 2 are complementaryangles. What is the value of x? What are the measures of each angle?
9) The measure of the supplement of an angle is 14 degrees more than the measure of the angle. Find the number of degrees in each angle.
1 Part III – Practice with the "X" Diagram s s In the accompanying diagram, AB and CD intersect at E. If m AEC = 4x – 40 and m BED = x + 50, find the value of each of the following:
“Location Word” “Measure Word”
10) 11) 12) x = ______ 13) m AEC = ______ 14) m CEB = ______ 15) m BED = ______ 16) m AED = ______ Part IV: Parallel Lines Cut by a Transversal If two parallel lines are cut by a transversal and the m < 2 = 30o, label the measure of each of the other seven angles in the following diagram. 17) m < 1 = 18) m < 2 = 19) m < 3 = 20) m < 4 = 21) m < 5 = 22) m < 6 = 23) m < 7 = 24) m < 8 = 2 Angles “Location Word” “Measure Word” 25) < 1 & < 2 are therefore they are 26) < 1 & < 4 are therefore they are 27) < 3 & < 6 are therefore they are 28) < 2 & < 6 are therefore they are 29) < 7 & < 2 are therefore they are Part V: Perpendicular Lines Given: AC is a line. BD BE . m DBC = 44. Find each missing angle. 30) m < DBE = 31) m < CBE = 32) m < ABD = 33) m < ABE = 34) Find the value of x. 30 x Part VI: Interior Angles of a Triangle 35) The measures of the angles of a triangle are (3x - 100)o, (x - 10)o, and (x - 10)o. Find the measure of each angle in the triangle. Part VII: Exterior Angles of a Triangle 36) Find the value of x. Note: The diagram may not be drawn to scale. 3 Part VIII: Matching Match the Vocabulary Words/Situations to their corresponding Equation Set-Ups Vocabulary/Situation Equation Set-ups: _____ 37) Complementary/Complement: A) m1 m2 m3 _____ 38) Supplementary/Supplement/Linear Pair: B) m1 m2 m3 180o _____ 39) Alternate Alternate C) m1 m2 90o Vertical Corresponding Interior Exterior _____ 40) Interior Angles of a Triangle D) m1 m2 180o 4 _____ 41) Exterior Angle of a Triangle E) m1 m2 5