6A&B Angles Review

Review of Angles and Parallel Lines

​Angle Notation and Conventions

A point represents a position. It is generally labelled with a capital letter.

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​Angle Notation and Conventions

An interval is a line with a fixed length and is sometimes called a line segment.

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- AC and CB form two angles. One is acute and one is reflex.

- C is called the vertex

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​Angle Notation and Conventions

An angle is named using 3 points and can be written as: ∠C or ∠ACB or ∠BCA or ACB or BCA

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- CA and CB are sometimes called arms.

- The pronumeral (lower case letter) represents the number of degrees in the angle.​

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​Angle Notation and Conventions

Two angles that share a vertex and an arm are called adjacent angles.

Fill in the Blanks

Name this angle using 3 letters

(don't worry about the angle symbol!)

Fill in the Blanks

Name the angle adjacent to ∠AOB

​Angle Types and Relationships

​Let's see what you remember...

Multiple Choice

A revolution is _____

•   $$180\degree$$  

• $$90\degree$$  

•   $$270\degree$$  

•   $$360\degree$$  

Multiple Choice

Obtuse Angles are greater than ____ but less than ____

• $$90\degree$$  , $$180\degree$$  

• $$0\degree$$  , $$90\degree$$  

• $$180\degree$$  , $$270\degree$$  

• $$180\degree$$  , $$360\degree$$  

Multiple Choice

Obtuse Angles are greater than ____ but less than ____

• $$90\degree$$  , $$180\degree$$  

• $$0\degree$$  , $$90\degree$$  

• $$180\degree$$  , $$270\degree$$  

• $$180\degree$$  , $$360\degree$$  

Multiple Choice

Acute Angles are greater than ____ but less than ____

• $$90\degree$$  , $$180\degree$$  

• $$0\degree$$  , $$90\degree$$  

• $$180\degree$$  , $$270\degree$$  

• $$180\degree$$  , $$360\degree$$  

Multiple Choice

A straight line is _____

•   $$180\degree$$  

• $$90\degree$$  

•   $$270\degree$$  

•   $$360\degree$$  

Multiple Choice

Reflex Angles are greater than ____ but less than ____

• $$90\degree$$  , $$180\degree$$  

• $$0\degree$$  , $$90\degree$$  

• $$180\degree$$  , $$270\degree$$  

• $$180\degree$$  , $$360\degree$$  

Multiple Choice

A right angle is _____

•   $$180\degree$$  

• $$90\degree$$  

•   $$270\degree$$  

•   $$360\degree$$  

Draw

Draw a reflex angle ∠ABC and include labels

Multiple Choice

Complementary Angles are two adjacent angles that add to make ___

•   $$180\degree$$  

• $$90\degree$$  

•   $$270\degree$$  

•   $$360\degree$$  

Multiple Choice

Supplementary Angles are two adjacent angles that add to make ___

•   $$180\degree$$  

• $$90\degree$$  

•   $$270\degree$$  

•   $$360\degree$$  

Multiple Choice

Angles at a point (or angles in a revolution) add to give ___

•   $$180\degree$$  

• $$90\degree$$  

•   $$270\degree$$  

•   $$360\degree$$  

Fill in the Blanks

What is the supplement of $80\degree$  ?

(don't worry about the degrees symbol!)

Fill in the Blanks

What is the complement of $45\degree$  ?

(don't worry about the degrees symbol!)

Fill in the Blanks

What is the complement of $30\degree$  ?

(don't worry about the degrees symbol!)

Fill in the Blanks

What is the supplement of $115\degree$  ?

(don't worry about the degrees symbol!)

Multiple Choice

When two straight lines meet they form two pairs of _____________

• opposite angles

• complementary angles

• vertically opposite angles

• vertical angles

Multiple Choice

When two intersecting lines meet at right angles then the two lines are ____________

• parallel

• complementary

• supplementary

• perpendicular

Multiple Choice

_________ lines never cross (intersect) and are marked with the same number of arrows.

• parallel

• complementary

• supplementary

• perpendicular

Multiple Choice

Which statement correctly describes these intersecting lines?

• $$AD\parallel EF$$  

• $$EF\parallel HG$$  

•   $$EF\parallel GH$$  

• $$CD\parallel EF$$  

Draw

Label/Mark a pair of vertically opposite angles

Multiple Choice

Which statement correctly describes this pair of intersecting lines?

• $$AB\perp CD$$  

• $$y=90\degree$$  

• $$AC\perp BD$$  

• $$x=z$$  

Fill in the Blanks

Name the angle that is vertically opposite $\angle AOB$  

(using 3 letters - ignore the angle sign)

Fill in the Blanks

Name the angle that is complementary to $\angle BOC$  

(using 3 letters - ignore the angle sign)

Fill in the Blanks

What line segment is perpendicular to $AD$  ?

Fill in the Blanks

What is the value of $a\degree$  ?

(no need to write degrees)

Fill in the Blanks

What

Fill in the Blanks

What is the value of $b\degree$  ?

(no need to write degrees)

Fill in the Blanks

What is the value of $a\degree$  ?

(no need to write degrees)

Fill in the Blanks

What is the value of $a\degree$  ?

(no need to write degrees)

Fill in the Blanks

What is the value of $b\degree$  ?

(no need to write degrees)

Fill in the Blanks

What is the value of $c\degree$  ?

(no need to write degrees)

Fill in the Blanks

What reason would you give for $b=41\degree$  ?

​Angles in Parallel Lines

​Angles in Parallel Lines

A transversal is a line cutting two or more other lines and this forms pairs of angles

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​Angles in Parallel Lines

When two parallel lines are cut by a transversal:

​Angles in Parallel Lines

When two parallel lines are cut by a transversal:

C​orresponding Angles

('F' Shape) are equal

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(Foreresponding)​

​Angles in Parallel Lines

When two parallel lines are cut by a transversal:

C​orresponding Angles

('F' Shape) are equal

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(Foreresponding)​

Alternate Angles

('Z' Shape) are equal

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(Zalternate!)​​

​Angles in Parallel Lines

When two parallel lines are cut by a transversal:

C​orresponding Angles

('F' Shape) are equal

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(Foreresponding)​

Alternate Angles

('Z' Shape) are equal

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(Zalternate!)​​

Cointerior Angles

('C' Shape) add to 180^o

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(Co-interior = inside)

Multiple Choice

Name the following pair of marked angles

• Corresponding Angles

• Alternate Angles

• Cointerior Angles

• Vertically Opposite Angles

Multiple Choice

Name the following pair of marked angles

• Corresponding Angles

• Alternate Angles

• Cointerior Angles

• Vertically Opposite Angles

Multiple Choice

Name the following pair of marked angles

• Corresponding Angles

• Alternate Angles

• Cointerior Angles

• Vertically Opposite Angles

Fill in the Blanks

What is the value of $c\degree$  ?

(no need to write degrees)

Fill in the Blanks

What is the value of $a\degree$  ?

(no need to write degrees)

Fill in the Blanks

What is the value of $b\degree$  ?

(no need to write degrees)

Fill in the Blanks

What is the value of $a\degree$  ?

(no need to write degrees)

Multiple Choice

What reason would you give to show $$b=100\degree$$  ?

• Corresponding Angles in  $$\parallel$$  are equal

• Alternate Angles in  $$\parallel$$  are equal

• Cointerior Angles in  $$\parallel$$  add to   $$180\degree$$

• Vertically Opposite Angles are equal

Multiple Choice

What reason would you give to show $$a=120\degree$$  ?

• Corresponding Angles in  $$\parallel$$  are equal

• Alternate Angles in  $$\parallel$$  are equal

• Cointerior Angles in  $$\parallel$$  add to   $$180\degree$$

• Vertically Opposite Angles are equal

Multiple Choice

What reason would you give to show $$b=140\degree$$  ?

• Corresponding Angles in  $$\parallel$$  are equal

• Alternate Angles in  $$\parallel$$  are equal

• Cointerior Angles in  $$\parallel$$  add to   $$180\degree$$

• Vertically Opposite Angles are equal