Proving congruent triangles - REVIEW

Flashcard
•
Mathematics
•
8th - 12th Grade
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What does ASA stand for in triangle congruence?
Back
ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.
Tags
CCSS.HSG.SRT.B.5
2.
FLASHCARD QUESTION
Front
What does HL stand for in triangle congruence?
Back
HL stands for Hypotenuse-Leg, a criterion for triangle congruence that applies to right triangles, stating that if the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
Tags
CCSS.HSG.SRT.B.5
3.
FLASHCARD QUESTION
Front
What are the four main triangle congruence theorems?
Back
The four main triangle congruence theorems are: 1) SSS (Side-Side-Side), 2) SAS (Side-Angle-Side), 3) ASA (Angle-Side-Angle), and 4) AAS (Angle-Angle-Side).
Tags
CCSS.HSG.SRT.B.5
4.
FLASHCARD QUESTION
Front
How can you prove two triangles are congruent using the SSS theorem?
Back
To prove two triangles are congruent using the SSS theorem, you must show that all three sides of one triangle are equal to the corresponding three sides of the other triangle.
Tags
CCSS.HSG.SRT.B.5
5.
FLASHCARD QUESTION
Front
What is the difference between ASA and AAS in triangle congruence?
Back
ASA (Angle-Side-Angle) requires the included side between two angles to be equal, while AAS (Angle-Angle-Side) requires two angles and a non-included side to be equal.
Tags
CCSS.HSG.SRT.B.5
6.
FLASHCARD QUESTION
Front
What is the significance of the included side in the ASA theorem?
Back
In the ASA theorem, the included side is crucial because it connects the two angles, ensuring that the triangles are congruent based on the specific arrangement of the angles and the side.
Tags
CCSS.HSG.SRT.B.5
7.
FLASHCARD QUESTION
Front
Can two triangles be congruent if only one angle and two sides are known?
Back
No, two triangles cannot be proven congruent with only one angle and two sides unless the angle is included between the two sides (ASA) or the two sides are equal to the corresponding sides of another triangle (SAS).
Tags
CCSS.8.G.A.2
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