What is a congruent triangle?
Intro to Congruent Triangles
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Mathematics
•
10th Grade
•
Hard
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8 questions
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1.
FLASHCARD QUESTION
Front
Back
A triangle that has the same size and shape as another triangle. This means all corresponding sides and angles are equal.
2.
FLASHCARD QUESTION
Front
Name the three criteria for triangle congruence.
Back
1. Side-Side-Side (SSS) Congruence 2. Side-Angle-Side (SAS) Congruence 3. Angle-Side-Angle (ASA) Congruence
3.
FLASHCARD QUESTION
Front
If two angles are equal, what can be said about the sides opposite those angles in a triangle?
Back
The sides opposite the equal angles are also equal in length.
4.
FLASHCARD QUESTION
Front
What does it mean if two triangles are similar?
Back
Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.
5.
FLASHCARD QUESTION
Front
How can you determine if two triangles are congruent using the SSS criterion?
Back
If all three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.
6.
FLASHCARD QUESTION
Front
What is the Angle-Angle (AA) criterion for triangle similarity?
Back
If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.
7.
FLASHCARD QUESTION
Front
What is the relationship between the angles and sides in congruent triangles?
Back
In congruent triangles, all corresponding angles are equal and all corresponding sides are equal.
8.
FLASHCARD QUESTION
Front
Back
@@ ext{If } riangle ABC ext{ is congruent to } riangle DEF, ext{ then } egin{align*} AB & ext{ is congruent to } DE \ AC & ext{ is congruent to } DF \ BC & ext{ is congruent to } EF \ ext{and} \ riangle ABC & ext{ has angles congruent to } riangle DEF. \\ ext{Thus, } \\ ext{if } riangle ABC ext{ has } ext{angle A, B, C, then } ext{angle D, E, F respectively.} ext{ } ext{(CPCTC)} ext{ (Corresponding Parts of Congruent Triangles are Congruent)} ext{.} ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } ext{ } 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