Show:
Definitions
Fill-In-Blanks
Multi-Choice
Double or
Nothing
100
What does AAS stand for?
Angle-Angle-Side
100
Always, Almost Always, Sometimes, Almost Never, Never Angle-Angle-Side can ________ be proven.
Always. It is a theorem.
100
Identify which pair of triangles does NOT illustrate an angle angle side (AAS) relationship.
Pair 4
100
Category: Proof (8) Word Bank (3) Given (2) Partition Postulate (< + P) (1) Substitution property (1) Corresponding angles of parallel lines are congruent (1) Addition property of equality
1) Given 2) Given 3) Corresponding angles of parallel lines are congruent 4) Given 5) Addition property of equality 6) Partition postulate (< + P) 7) Partition postulate (< + P) 8) Substitution property
200
What is stated by the Angle-Angle-Side Congruence Theorem?
It states that if two angles and the non-included side one triangle are congruent to two angles and the non-included angle of another triangle, then these two triangles are congruent.
200
ABC is Congruent to XYZ Two angles and a non-included side are congruent CAB = ZXY (angle) ACB = XZY (angle) _________ (side)
Line AB = Line XY
200
(AAS) If two pairs of angles of two triangle are equal in measure, and a pair of ___________ non-included sides are equal in length, then the triangles are congruent. A. Vertical B. Corresponding C. Complementary D. Partition
B. Corresponding
300
What is wrong with the proof?
The side needed to prove two triangles congruent by the Angle Angle Side Theorem. Lines FE and BC are NOT full sides in either triangle. You would need to use the additon property of equality to add segment BE to FE and BE to be able to prove there is a pair of congruent sides in the two triangles.
300
Proof Given: C is Midpoint of Line BE Line AB II Line DE Prove: Triangle ABC is Congruent to Triangle DEC Word Bank Alternate Interior Angle of Parallel Lines are Congruent Alternate Interior Angle of Parallel Lines are Congruent AAS Postulate Definition of Midpoint
1) Alternate Interior Angle of Parallel Lines are Congruent 2) Definition of Midpoint 3) Alternate Interior Angle of Parallel Lines are Congruent 4) AAS Postulate
300
If Angle
A. Triangle ABC is Congruent to Triangle DEF