Triangles congruent by ASA and AAS proofs - Congruence

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

Don't just watch, practice makes perfect.

We have over 160 practice questions in Geometry for you to master.

Get Started Now

Let's keep going.

Play next lesson

Let's learn the next topic

Let's keep going.

Play next lesson

Let's learn the next topic

Goto next topic

Let's keep going

Let's keep going!

Play next lesson or Practice this topic

Start now and get better math marks!

Keep exploring StudyPug

Start now and get better math marks!

Keep exploring StudyPug

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

Triangles congruent by ASA and AAS proofs

Don't just watch, practice makes perfect.

We have over 160 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.

$\triangle ABC$ , $\triangle CBD$

$\triangle XYZ$ , $\triangle XWZ$