Angles Between Intersecting Lines

Lines, Line Segments, and Rays

Words &

Definitions

●Lines are straight and
extend infinitely in
both directions,
without beginning or
end.

●Line Segments are
part of lines with
two endpoints,
indicating a specific
length.

●Rays start at a point
and extend
infinitely in one
direction.

Parallel Lines, Perpendicular Lines, and
Intersecting Lines

●Parallel Lines never meet,
no matter how far they
extend, because they are
always the same distance
apart.

●Perpendicular Lines
intersect at a 90-degree
angle.

●Intersecting Lines meet or
cross each other at some
point, but not necessarily at
a 90-degree angle.

Multiple Choice

Use the figure to name a line containing the

point X.

• line X

• line c

• line Z

• line YZ

Multiple Choice

Use the figure to name a plane containing the

point Z.

• plane XY

• plane c

• plane XQY

• plane P

Multiple Choice

How many points do you need to make a line?

• 1

• at least 2

• 3

• 4

Multiple Choice

A line that contains point M.

• Line q

• Line p

• Line r

• Line NH

Multiple Choice

Name the given figure with correct geometric notation.

• Point A

• A

• Place A

• Location A

Multiple Choice

• Point 
• Line
• Line Segment
• Ray

Multiple Choice

• Line
• Point
• Line Segment
• Ray

Multiple Choice

A__________ is a fixed position in space and has no dimensions or size.

• Point
• Line
• Plane
• Cube

Multiple Choice

Name the image

• Line
• Ray
• Line segment
• Angle

Multiple Choice

Two lines intersect at a ....

• angle
• point
• line
• intersection

Multiple Choice

Which is the notation for the diagram shown?

• None of these

Multiple Choice

Which is the notation for the diagram shown?

• None of these

Multiple Choice

What is the term for a part of a line with two endpoints?

• point
• ray
• angle
• line segment

Multiple Choice

What is the term for a part of a line that has one endpoint and goes on endlessly in one direction?

• line
• line segment
• ray
• angle

Multiple Choice

Which figure shows a set of perpendicular lines?

• Figure 1
• Figure 2
• Figure 3
• Figure 4

Multiple Choice

The yellow yard lines are an example of what type of line?

• perpendicular lines
• parallel lines
• intersecting lines
• number lines

Multiple Choice

The black lines on this Railroad Crossing sign are an example of what type of lines?

• parallel lines
• perpendicular lines
• intersecting lines
• interurban lines

Multiple Choice

What do we call lines that intersect and form 90 degree angles?

• Parallel

• Perpendicular

• Intersecting

Draw

Circle intersecting lines.

Box the parallel lines

Underline the perpendicular lines

Acute Angles, Right Angles, Obtuse Angles, Straight Angles,
Reflex Angles

Acute Angles are less than 90°

Right Angles are exactly 90°

Obtuse Angles are greater than 90° but less than 180°

Straight Angles are exactly 180°

Reflex Angles are greater than 180°but less than 360°

0°

90°

180°

360°

zero

acute

right

obtuse

straight

reflex

full

Draw

DrAw the ions on the types of angles

Complementary Angles, Supplementary Angles,
Vertical Angles, and Adjacent Angles

Complementary Angles add up to
90 degrees.

Supplementary Angles add up to
180 degrees.

Vertical Angles are Opposite Angles
formed by two intersecting lines
and are always equal.

Adjacent Angles share a common
side and vertex but do not overlap.

Adjacent Angles

Opposite Angles

Multiple Choice

What type of angles are these?

• Adjacent Angles

• Linear Pair

• Complementary Angles

• Supplementary Angles

• Vertical Angles

Multiple Select

What type of angles are these? (select 2)

• Adjacent Angles

• Linear Pair

• Complementary Angles

• Supplementary Angles

• Vertical Angles

Multiple Choice

Which angles are vertical angles?

• $$\angle8\ \&\ \angle7$$

• $$\angle8\ \&\ \angle6$$

• $$\angle8\ \&\ \angle5$$

Multiple Choice

Which of the following angles is  $$90\degree$$  ?

• $$\angle FGH$$  

• $$\angle KJL$$  

• $$\angle PJK$$  

• $$\angle EGH$$  

Multiple Choice

Which angle is a linear pair with $$\angle1$$  ?

• $$\angle2$$  

• $$\angle3$$  

• $$\angle4$$  

• $$\angle5$$  

• $$\angle6$$  

Multiple Choice

This is what kind of angle?

• obtuse
• right
• straight
• acute

Multiple Choice

• x = 118

• x = 108

• x = 28

• x = 58

• x = 62

Multiple Choice

Find the missing angle.  Find x.

• 20^o
• 70^o
• 160^o
• 180^o

Multiple Choice

What angle is vertical to angle 2?

• ∠4

• ∠1

• ∠2

• ∠5

Multiple Choice

Find the measure of the missing angle.

• 90^o
• 10⁰
• 130^o
• 50^o

Angles as Fractions of a Circle

Angles As Fractions Of A Circle

1/4 ↔ 90°

1/2 ↔ 180°

3/4 ↔ 270°

full circle ↔360°.

Angles of 90, 180, 270, and 360 Degrees

Visual representation of right
angles (90°),

straight angles (180°),

three-quarter circles (270°),

and full circles (360°).

Draw

Write the numerical fractions for each fractional name.

Draw

Draw lines to divide this circle into a half and two quarter.

Labelling

Now that your circle graph is drawn, label the graph with the correct percentages and fractions.

Drag labels to their correct position on the image

50%

25%

Guided Instruction: Determining Central Angle Measures

A diagram of a circle with four congruent sectors is shown.

Use the definition of a central angle to determine how many central angles are in
the circle with four congruent sectors.

Math Nation - Unit 7, Lesson 1 - Circle Graphs - Volume 1, PAGE 296

Hotspot

Complete the statements.

Math Response

If each central angle is $$180\degree$$ , you can represent that as the fraction $$\frac{180}{360}$$ . This is because a circle has a total of $$360\degree$$ . What is that fraction in its simplest form?

(write your answer as a fraction)

Type answer here

Correct Answer: \frac{1}{2}

Deg^°

Rad

How to Measure Angles with a Protractor

Place the protractor's baseline along one side of the angle with the center mark at the vertex. The measurement is where the other side of the angle intersects the protractor.

Multiple Choice

Measure to the nearest 10 degrees.

• 10^°
• 20°
• 170°
• 160°

Multiple Choice

Measure to the nearest 10 degrees.

• 7^°
• 70°
• 110°
• 120°

Multiple Choice

Measure to the nearest 10 degrees.

• 20^°
• 30°
• 160°
• 150°

Multiple Choice

Measure to the nearest 5 degrees.

• 65°
• 75°
• 115°
• 125°

Multiple Choice

what kind of angle is this? 

• straight
• acute
• obtuse
• right

Multiple Choice

_{What is the measure of the angle?}

• 110 degrees. 
• 140 degrees.
• 150 degrees.
• 170 degrees. 

Draw

Pick 4 problems.

Determine the angle shown.

Poll

I feel _________ comfortable with this topic. ​ ​ ​ ​

• very
• extremely
• slightly
• mostly