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Geometry
Triangles and special triangles

Triangles congruent by ASA and AAS proofs

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Chapter 5.8 Playlist

Lesson: 1a) - What is the third congruence that is needed to prove that

\triangle ABC

\cong

\triangle DEF

using the given postulate or theorem?

\overline {AB}

\cong

\overline {DE}

and

\angle C

\cong

\angle F

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Chapter 5 Topics:

5.1
Pythagorean theorem
5.2
Solving expressions using 45-45-90 special right triangles
5.3
Solving expressions using 30-60-90 special right triangles
5.4
Classifying triangles
5.5
Congruence and congruent triangles
5.6
Triangles congruent by SSS proofs
5.7
Triangles congruent by SAS and HL proofs
5.8
Triangles congruent by ASA and AAS proofs
5.9
Isosceles and equilateral triangles
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Chapter 5 Topics:

5.1
Pythagorean theorem
5.2
Solving expressions using 45-45-90 special right triangles
5.3
Solving expressions using 30-60-90 special right triangles
5.4
Classifying triangles
5.5
Congruence and congruent triangles
5.6
Triangles congruent by SSS proofs
5.7
Triangles congruent by SAS and HL proofs
5.8
Triangles congruent by ASA and AAS proofs
5.9
Isosceles and equilateral triangles
Back to Course Index

Don't just watch, practice makes perfect.

Triangles congruent by ASA and AAS proofs

Lessons

1.
What is the third congruence that is needed to prove that $\triangle ABC$ $\cong$ $\triangle DEF$ using the given postulate or theorem?
2.
Decide if the following triangles are congruent. Show your reasoning.

Triangles congruent by ASA and AAS proofs

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We have 429 practice questions in Geometry for you to work through.

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Triangles congruent by ASA and AAS proofs

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We have over 420 practice questions in Geometry for you to master.

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Triangles congruent by ASA and AAS proofs

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Lesson: 1a

Selected

Lesson: 1b

Lesson: 1c

Lesson: 2a

Lesson: 2b

Intro

Learn

Practice

Do better in math today

Don't just watch, practice makes perfect.

Do better in math today

Don't just watch, practice makes perfect.

Lessons

1.

What is the third congruence that is needed to prove that △ABC\triangle ABC△ABC≅\cong≅△DEF\triangle DEF△DEF using the given postulate or theorem?

a)

AB‾\overline {AB}​AB​​​≅\cong≅DE‾\overline {DE}​DE​​​ and ∠C\angle C∠C≅\cong≅∠F\angle F∠F Prove by AAS.

b)

AC‾\overline {AC}​AC​​​≅\cong≅DF‾\overline {DF}​DF​​​ and ∠A\angle A∠A≅\cong≅∠D\angle D∠D Prove by ASA.

c)

∠A\angle A∠A≅\cong≅∠D\angle D∠D and ∠B\angle B∠B≅\cong≅∠E\angle E∠E Prove by AAS.

2.

Decide if the following triangles are congruent. Show your reasoning.

a)

△ABC\triangle ABC△ABC, △CBD\triangle CBD△CBD

b)

△XYZ\triangle XYZ△XYZ, △XWZ\triangle XWZ△XWZ

Don't just watch, practice makes perfect.

Triangles congruent by ASA and AAS proofs

Don't just watch, practice makes perfect.

We have over 420 practice questions in Geometry for you to master.

or

What is the third congruence that is needed to prove that $\triangle ABC$ $\cong$ $\triangle DEF$ using the given postulate or theorem?

$\overline {AB}$ $\cong$ $\overline {DE}$ and $\angle C$ $\cong$ $\angle F$
Prove by AAS.

$\overline {AC}$ $\cong$ $\overline {DF}$ and $\angle A$ $\cong$ $\angle D$
Prove by ASA.

$\angle A$ $\cong$ $\angle D$ and $\angle B$ $\cong$ $\angle E$
Prove by AAS.

$\triangle ABC$ , $\triangle CBD$

$\triangle XYZ$ , $\triangle XWZ$