Congruent Figures and Triangles
Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What are congruent figures?
Back
Congruent figures are shapes that are identical in form and size. They can be superimposed on each other, meaning all corresponding sides and angles are equal.
2.
FLASHCARD QUESTION
Front
What does it mean for triangles to be congruent?
Back
Triangles are congruent if all three sides and all three angles of one triangle are equal to the corresponding sides and angles of another triangle.
3.
FLASHCARD QUESTION
Front
What is the symbol for congruence?
Back
The symbol for congruence is '≅'.
4.
FLASHCARD QUESTION
Front
List the criteria for triangle congruence.
Back
1. Side-Side-Side (SSS) Congruence 2. Side-Angle-Side (SAS) Congruence 3. Angle-Side-Angle (ASA) Congruence 4. Angle-Angle-Side (AAS) Congruence 5. Hypotenuse-Leg (HL) Congruence (for right triangles)
5.
FLASHCARD QUESTION
Front
If ΔXYZ ≅ ΔCAB, what can be said about their corresponding parts?
Back
The corresponding parts of congruent triangles are equal. Therefore, ∠X ≅ ∠C, ∠Y ≅ ∠A, ∠Z ≅ ∠B, and XY ≅ CA, YZ ≅ AB, XZ ≅ CB.
6.
FLASHCARD QUESTION
Front
What does the term 'corresponding parts' refer to in congruent triangles?
Back
Corresponding parts refer to the sides and angles of congruent triangles that match each other in position and measure.
7.
FLASHCARD QUESTION
Front
If two triangles are congruent, what can be said about their areas?
Back
If two triangles are congruent, their areas are equal.
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