6A&B Angles Review

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Mathematics

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8th Grade

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Practice Problem

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Medium

Melissa Roberts

Used 1+ times

FREE Resource

12 Slides • 44 Questions

Review of Angles and Parallel Lines

Angle Notation and Conventions

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

Angle Notation and Conventions

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

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

- C is called the vertex

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

- CA and CB are sometimes called arms.

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

Angle Notation and Conventions

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

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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 ___

$180\degree$

$90\degree$

$270\degree$

$360\degree$

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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?

$AB\perp CD$

$y=90\degree$

$AC\perp BD$

$x=z$

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Angles in Parallel Lines

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

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:

Corresponding Angles

('F' Shape) are equal

(Foreresponding)

Angles in Parallel Lines

When two parallel lines are cut by a transversal:

Corresponding Angles

('F' Shape) are equal

(Foreresponding)

Alternate Angles

('Z' Shape) are equal

(Zalternate!)

Angles in Parallel Lines

When two parallel lines are cut by a transversal:

Corresponding Angles

('F' Shape) are equal

(Foreresponding)

Alternate Angles

('Z' Shape) are equal

(Zalternate!)

Cointerior Angles

('C' Shape) add to 180^o

(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

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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

Review of Angles and Parallel Lines

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