What does HL stand for in triangle congruence?

Hypotenuse-Leg (specific to right triangles)

What is the definition of congruent triangles?

Triangles that have the same size and shape, meaning all corresponding sides and angles are equal.

What is the significance of a bisector in triangle congruence?

A bisector divides an angle or side into two equal parts, which can help establish congruence.

How can you prove two triangles are congruent using the AAS method?

If two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.

What is the importance of the definition of midpoint in triangle proofs?

The definition of midpoint helps establish equal segments, which is crucial for proving congruence.

What is the relationship between corresponding parts of congruent triangles?

Corresponding parts of congruent triangles are equal in length and measure.

How does the HL theorem apply to right triangles?

The HL theorem states that if the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Triangle Congruence Proofs

Flashcard

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSG.SRT.B.5, 8.G.A.2, HSG.CO.C.9

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What is the statement for step 3 of the proof in triangle congruence?

Back

∡AED≅∡BEC

Tags

CCSS.HSG.SRT.B.5

FLASHCARD QUESTION

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side

Tags

CCSS.HSG.SRT.B.5

FLASHCARD QUESTION

Front

What is the missing statement or reason when identifying a midpoint in a triangle?

Back

Definition of Midpoint

Tags

CCSS.HSG.GPE.B.6

FLASHCARD QUESTION

Front

List the five ways to prove triangles congruent.

Back

SSS, ASA, AAS, SAS, HL

Tags

CCSS.HSG.SRT.B.5

FLASHCARD QUESTION

Front

If DA bisects IE, what can be concluded about IA and EA?

Back

IA=EA

Tags

CCSS.HSG.CO.C.10

FLASHCARD QUESTION

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side

Tags

CCSS.HSG.SRT.B.5

FLASHCARD QUESTION

Front

What does ASA stand for in triangle congruence?

Back

Angle-Side-Angle

Tags

CCSS.HSG.SRT.B.5

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