What property of parallel lines is used to prove that alternate interior angles are congruent?

Properties and Theorems of Geometry

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Mathematics
•
9th - 10th Grade
•
Hard

Sophia Harris
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Transitive Property
Corresponding Angles Postulate
Reflexive Property
Alternate Interior Angles Theorem
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which congruence theorem states that two triangles are congruent if two angles and the included side are congruent?
Side-Angle-Side (SAS)
Angle-Side-Angle (ASA)
Angle-Angle-Side (AAS)
Side-Side-Side (SSS)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What theorem is used to prove that two triangles are congruent if two sides and the included angle are congruent?
Angle-Angle-Side (AAS)
Angle-Side-Angle (ASA)
Side-Side-Side (SSS)
Side-Angle-Side (SAS)
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a parallelogram, what can be said about the diagonals?
They bisect each other.
They are always congruent.
They are perpendicular.
They are parallel.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does CPCTC stand for in the context of congruent triangles?
Corresponding Parts of Congruent Triangles are Congruent
Corresponding Parts of Congruent Triangles are Complementary
Congruent Parts of Corresponding Triangles are Complementary
Congruent Parts of Corresponding Triangles are Congruent
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the definition of a midpoint in geometry?
A point that is the center of a circle
A point that divides an angle into two congruent angles
A point that is equidistant from the endpoints of a segment
A point that divides a segment into two congruent segments
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a key property of rectangles that is used to prove the congruence of their diagonals?
Diagonals bisect each other
Diagonals are perpendicular
All angles are right angles
All sides are equal
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