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Unit 2 Test – Proofs, Triangles and Congruence Honors Geometry 2016-17 Name________________________ Oct. 2016 General Instructions Each question is weighted equally Read instructions to each problem carefully Manage your time to make sure you get something down for every part of every problem DEFINITIONS Midpoint A point that divides a segment into two congruent parts. Perpendicular lines/segments Lines/segments that intersect to form right angles (or 90 degree angles). Bisects A line (segment or ray) that divides an angle/segment into two congruent parts. Supplementary angles Angles whose sum is 180 degrees or a straight angle/line. Complementary angles Angles whose sum is 90 degrees or a right angle. Scalene Triangle A triangle with no sides congruent. Isosceles Triangle A triangle with at least two sides congruent. Equilateral Triangle A triangle with all sides congruent. Acute Triangle A triangle with all angles acute. Obtuse Triangle A triangle with an obtuse angle. Right Triangle A triangle with a right angle. THEOREMS Condition Conclusion If two angles are straight angles then the angles are congruent. F If two angles are right angles then the angles are congruent. F If two angles are supplementary to congruent (or the same) angles then the angles are congruent. If two angles are complementary to congruent (or the same) angles then the angles are congruent. If two lines intersect then opposite (vertical) angles are congruent. T If two sides of a triangle are congruent then the angles opposite these sides are congruent. T If two angles are supplementary and congruent then they are right angles (or 90 degree angles). F F T If a point is on the perpendicular bisector of a segment then it is equidistant from the endpoints of the segment. T If alternate interior (or alternate exterior, or corresponding) angles are congruent T then the lines are parallel. If a figure is a triangle then the sum of its angles is 180 degrees. POSTULATES T T SAS If two triangles satisfy SAS then they are congruent. SSS If two triangles satisfy SSS then they are congruent. ASA If two triangles satisfy ASA then they are congruent. Parallel Postulate Given a line and a point not on the line, there is a unique parallel line through that point. Perpendicular Postulate Given a line and a point (which could be on the line), there is a unique perpendicular line through that point. Uniqueness Postulates Converse Two points determine a line. Unit 2 Test – Proofs, Triangles and Congruence Honors Geometry 2016-17 Name________________________ Oct. 2016