What is the Vertical Angle Theorem?

Triangle Congruence Proofs

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•
Mathematics
•
9th - 12th Grade
•
Hard
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16 questions
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1.
FLASHCARD QUESTION
Front
Back
The Vertical Angle Theorem states that when two lines intersect, the opposite (or vertical) angles are congruent.
2.
FLASHCARD QUESTION
Front
What does it mean for an angle bisector to bisect an angle?
Back
An angle bisector divides an angle into two equal (congruent) angles.
3.
FLASHCARD QUESTION
Front
What is the definition of congruent angles?
Back
Congruent angles are angles that have the same measure.
4.
FLASHCARD QUESTION
Front
What is the Reflexive Property in geometry?
Back
The Reflexive Property states that any geometric figure is congruent to itself.
5.
FLASHCARD QUESTION
Front
What are the properties of congruence in triangles?
Back
The properties include: SSS (Side-Side-Side), SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and HL (Hypotenuse-Leg for right triangles).
6.
FLASHCARD QUESTION
Front
What is the significance of angle bisectors in triangle congruence?
Back
Angle bisectors can help establish congruence by creating two congruent angles, which can be used in proofs.
7.
FLASHCARD QUESTION
Front
How do you prove that two triangles are congruent using the SSS criterion?
Back
To prove triangles are congruent by SSS, show that all three corresponding sides of the triangles are equal in length.
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