Lesson 2-6 Proving Angles Congruent

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Lesson 2-6
Proving Angles Congruent

Objective:

SW prove and apply

theorems about

angles.

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Theorem vs. Postulate

A theorem is a conjecture or
statement that you prove
true.

A postulate is a statement
which is taken to be true
without proof .

You can use given information, definitions,
properties, postulates, and previously proven
theorems as reasons in a proof.

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Fill in the Blanks

Fill in the Blanks

Dropdown

x =​

Select answer

; y =​

Select answer

Multiple Select

Identify each pair of angles.

• adjacent

• supplementary

• complementary

• vertical

Multiple Choice

Identify each pair of angles.

• adjacent

• complementary

• none of these

• vertical

Multiple Choice

Identify the pair of angles.

• supplementary

• linear pair

• adjacent

• none of these

Multiple Select

Identify the pair of angles.

• supplementary

• linear pair

• none of these

• adjacent

Fill in the Blanks

Drag and Drop

Identify each pair of angles.

Angles COD and FOE are​

Placeholder

Drag these tiles and drop them in the correct blank above

none of these

vertical

supplementary

linear pair

complementary

Multiple Select

Identify the angles.

• supplementary

• complementary

• linear pair

• adjacent

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

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Complete this sentence.

If ∠1 and ∠3 are supplements and ∠2 and ∠3 are

supplements, then ∠1 ≅

Complete this sentence.

If ∠1 and ∠2 are complements and ∠3 and ∠2 are

complements, then ∠1 ≅ .

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Complete the following.

If ∠ABC and ∠XYZ are right angles, then

∠ABC _____ ∠XYZ.

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Complete the following proof by filling in the
blanks with selections from the choices below.
Check your answers with your partner.

Vertical Angles Theorem

Substitution Property

∠1 ≅∠6

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Confirm your answers with your partner.

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THANK YOU!

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