Unit 4 Test Flashcards
(Definition)
Congruent Triangles
Triangles are congruent iff all corresponding angles and corresponding sides (corresponding parts) are congruent
(Postulate)
Side-Side-Side (SSS)
If 3 sides of a triangle are congruent to 3 sides of another triangle, then the triangles are congruent.
(Postulate)
Angle-Side-Angle (ASA)
If 2 angles and the included side of a triangle are congruent to corresponding parts of another triangle, the triangles are congruent
(Postulate)
Side-Angle-Side (SAS)
If 2 sides and the included angle of a triangle are congruent to corresponding parts of another triangle, then the triangles are congruent
(Theorem)
Isosceles Triangle Theorem
If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent
(Postulate)
Angle-Angle-Side (AAS)
If 2 angles and the non-included side of a triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent
(Vocab)
Vertex
The angle included by the legs
(Vocab)
Hypotenuse
The side opposite to the right angle
Hypotenuse Leg
If the hypotenusecleg of a right triangle is congruent to the corresponding parts of another right triangle, then the triangles are congruent
List the reasons for a triangle congruency:
- SSS
- SAS
- ASA
- AAS
- HL
(Vocab)
Median of a Triangle
A segment whose endpoints are the vertex of an angle and the midpoint of the opposite
(Vocab)
Altitude of a triangle
A segment from a vertex of an angle and is perpendicular to opposite side
(Vocab)
Perpedicular Bisector of a segment
A line/ray perpendicular to the segment at its midpoint