Triangle Congruence

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What is Triangle Congruence?

Back

Triangle congruence refers to the condition where two triangles are considered congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

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What does SSS stand for in triangle congruence?

Back

SSS stands for 'Side-Side-Side', a theorem stating that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

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What does SAS stand for in triangle congruence?

Back

SAS stands for 'Side-Angle-Side', a theorem stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.

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What does ASA stand for in triangle congruence?

Back

ASA stands for 'Angle-Side-Angle', a theorem stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What does HL stand for in triangle congruence?

Back

HL stands for 'Hypotenuse-Leg', a theorem applicable 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.

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Back

@@ ext{If } riangle ABC ext{ is congruent to } riangle DEF, ext{ then } ext{angle A} ext{ is congruent to angle D, angle B to angle E, and angle C to angle F.}$$

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Back

@@m ext{angle E} = 40^ ext{degree}$$

Front

What parts of the triangles must be marked for SAS Postulate?

Back

For SAS Postulate, two sides and the included angle must be marked.

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What is the relationship between congruent triangles?

Back

Congruent triangles have equal corresponding sides and angles, meaning they can be superimposed on each other.

Front

What is the difference between SSS and SAS?

Back

SSS requires all three sides to be equal, while SAS requires two sides and the included angle to be equal.