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Brooklyn Technical High School Review 2 MP2 Geometry Term I Name ___________________________ Instructor: Mr. Rodriguez Period ___________ 1) In βπ«π¬π, π < π« = π + π, and π < π¬ = ππ + π. The degree measure of an exterior angle at π is represented by ππ + π. Find the value of π. Ans. 2) In βπππ , < π β < π , ππ = 3π₯ + 2, ππ = π₯ + 12.2, ππ = 2π₯. Find MN Ans. 3) Each of the congruent angles of an isosceles triangle measures 15o more than four times the vertex angle. Find the measure of one of the base angles. Ans. 4) Ans. B 5) Given: Μ Μ Μ Μ π΅π· bisects < π· and < π΄ β < πΆ Prove: βπ΄π·π΅ β βπΆπ·π΅ A Statements C Reasons D 6) Given: RT ο ST TR ο AB , TS ο BC Prove: οΌ RBT οοΌ SBT Statements Reasons Μ Μ Μ Μ using the copying an angle method. 7) Construct a line containing C and parallel to π΄π΅ C A B 8) Ans. 9) Solve for x and y, given that a || b. : Ans. 10) Given: Scalene Triangle ABC Prove: m οΌ A οΉ m οΌ B 11) Construct a line perpendicular to n through point A. 12) 13) 14) 15) 16) 17) 18) 19) 20) 21) 22) 23) 24) 25) 26) 27) Which of the following is not a way to prove lines are perpendicular? A) If two lines are parallel, then a third line is perpendicular to the first two lines. B) If two intersecting lines form congruent adjacent angles, the lines are perpendicular. C) If two points are each equidistant from the endpoints of a line segment, the points determine the perpendicular bisector of the line segment. D) If two intersecting lines form right angles, then the lines are perpendicular. 28) Given the construction at right, which statement is true? A) AE ο ED B) AB ο CD C) AC ο BC D) EB ο ED 29) 30) 31) Find the measure of <A 32) In the triangles at the right, οΌ X ο I and οΌ Z οοΌ H . Which is a valid conclusion? A) XZ ο IH C) XZ ο½ 1 IH 2 B) οXZY ο οIHJ D) οΌ Y ο J 33) 34) 35) For what values of x and y will lines L1 and L2 be perpendicular? 36) 37)