Triangle Congruence Proofs

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+2
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is the Midpoint Theorem in triangle congruence?
Back
The Midpoint Theorem states that if a point M is the midpoint of segment AB, then AM is congruent to MB (i.e., AM ≅ MB). This theorem is often used in proofs involving triangle congruence.
Tags
CCSS.HSG.CO.C.9
2.
FLASHCARD QUESTION
Front
What does it mean for two angles to be congruent?
Back
Two angles are congruent if they have the same measure. This is denoted as ∠A ≅ ∠B.
Tags
CCSS.8.G.A.2
3.
FLASHCARD QUESTION
Front
What is the Reflexive Property of Congruence?
Back
The Reflexive Property of Congruence states that any geometric figure is congruent to itself. For example, segment AB is congruent to segment AB (AB ≅ AB).
Tags
CCSS.HSG.SRT.B.5
4.
FLASHCARD QUESTION
Front
What is the definition of a bisector in geometry?
Back
A bisector is a line, segment, or ray that divides an angle or segment into two equal parts.
Tags
CCSS.4.G.A.1
5.
FLASHCARD QUESTION
Front
What does CPCTC stand for in triangle congruence?
Back
CPCTC stands for 'Corresponding Parts of Congruent Triangles are Congruent.' It is used to prove that corresponding sides and angles of congruent triangles are also congruent.
Tags
CCSS.HSG.SRT.B.5
6.
FLASHCARD QUESTION
Front
What is the Vertical Angles Theorem?
Back
The Vertical Angles Theorem states that when two lines intersect, the opposite (or vertical) angles are congruent.
Tags
CCSS.HSG.CO.C.9
7.
FLASHCARD QUESTION
Front
What is the definition of congruence in geometry?
Back
Congruence in geometry means that two figures have the same shape and size. Congruent figures can be transformed into one another through rotations, translations, and reflections.
Tags
CCSS.8.G.A.2
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