Download General Instructions

Unit 2 Test – Proofs, Triangles and Congruence
Honors Geometry 2016-17
Name________________________
Oct. 2016
General Instructions
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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