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Congruent Triangle Postulates

Autore:Ashley, mangat
Argomento:Geometria
There are many triangle postulates that can be utilized to prove that two triangles are congruent. But, some only prove that triangles are similar, not congruent. We are going to explore and determine which postulates do, in fact, prove that two triangles are congruent. This exploration will help us answer the question: What corresponding triangle parts do we need to prove two triangles are congruent by a specific triangle congruence postulate? Directions: Below is an app that allows you to manipulate the provided triangle and given sides. Move the triangle or the segments around to see if they create two congruent triangles. Then, answer the question(s).

Side-Side-Side triangles (SSS)

Follow the steps below to determine if the two triangles are congruent.

Question

Are these two triangles congruent?

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  • A
  • B
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What corresponding triangle parts do we need to prove two triangles are congruent by SSS postulate?

Angle- Angle- Angle (AAA)

Follow the steps below to determine if the two triangles are congruent.

Question

Are these two triangles congruent?

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  • A
  • B
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What corresponding triangle parts do we need to prove two triangles are similar by AAA?

Side-Angle-Side (SAS)

Follow the steps below to determine if the two triangles are congruent.

SAS triangle Congruence

Question

Are these two triangles congruent?

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  • A
  • B
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Question

What corresponding triangle parts do we need to prove two triangles are congruent by SAS postulate?

Hypotenuse-Leg (HL)

Follow the steps below to determine if the two triangles are congruent.

HL congruence

Question

Are these two triangles congruent?

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  • A
  • B
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Question

What corresponding triangle parts do we need to prove two triangles are congruent by HL postulate? What specific criteria do we need to be able to use the HL postulate?

Side-Side-Angle (SSA)

Follow the steps below to determine if the two triangles are congruent.

Question

Are these two triangles congruent?

Seleziona una o più risposte corrette
  • A
  • B
Controlla la mia risposta (3)

Angle- Side- Angle (ASA)

Follow the steps below to determine if the two triangles are congruent.

ASA

Question

Are these two triangles congruent?

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  • A
  • B
Controlla la mia risposta (3)

Question

What corresponding triangle parts do we need to prove two triangles are congruent by ASA postulate?

Angle-Angle-Side (AAS)

Follow the steps below to determine if the two triangles are congruent.

AAS congruence

Question

Are these two triangles congruent?

Seleziona una o più risposte corrette
  • A
  • B
Controlla la mia risposta (3)

Question

What corresponding triangle parts do we need to prove two triangles are congruent by AAS postulate?

Which of the following postulates can be used to prove that two triangles are congruent? Choose all that apply.

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  • A
  • B
  • C
  • D
  • E
  • F
  • G
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