Similarity and Congruent Triangles
Presentation
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Mathematics
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8th - 10th Grade
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Practice Problem
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Medium
Standards-aligned
Kimberly Cagle
Used 211+ times
FREE Resource
9 Slides • 3 Questions
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Similarity and Congruent Triangles
Mrs. Cagle's Math 2 Class
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Similar and Congruent Postulates
Postulate: A statement, also known as an axiom, which is taken to be true without proof.
Theorem: a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths
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SAS=Side Angle Side Postulate
SAS: states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
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ASA: Angle Side Angle Postulate
ASA: states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
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AAS: Angle Angle Side Postulate
AAS: states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
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SSS: Side Side Side
SSS: If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent. Congruence of sides is shown with little hatch marks, like this: ∥. For two triangles, sides may be marked with one, two, and three hatch marks.
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HL: Hypotenuse Leg Postulate
HL: The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
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CPCTC: Corresponding Parts of Congruent Triangles are Congurent
CPCTC: is an acronym for corresponding parts of congruent triangles are congruent.
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Writing a Proof
Statements/Reasons
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Multiple Choice
How are triangle ABC and triangle A'B'C' Congruent?
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Multiple Choice
How would you prove triangle MPN and triangle RSQ are congruent?
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Multiple Choice
How would prove triangle ABC and triangle DEF are congruent?
Similarity and Congruent Triangles
Mrs. Cagle's Math 2 Class
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