Download Parallel Lines

Name ______________________
Points,, Lines,, Line Segments,, and Rays
Point: An exact location in space. Points on a line are given letter names.
Name all the points on this line. ______________
Line: A long thin mark that continues forever in both directions. Lines are
named by their end points with a line with arrows over the letters.
What is the name of this line? _____________
Line Segment: A section of a line between end points. Line segments
are named by their end points, and a line with two points over the letters.
Name two line segment on the line above. __________ ___________
Ray: A section of a line with an end
point on one end, and which
continues forever in the other direction.
Which of these is a ray? Circle it.
1.
©2013 by Cathy McGaffin
Name ______________________
Points,, Lines,, Line Segments,, and Rays
Tell whether each figure is a point, line, line segment, or a ray.
_________ ________ _________ ___________
_________
__________ ________
_________
________ __________
Draw and label each of the following lines in the space
below: vertical line, horizontal line, and diagonal line.
2.
©2013 by Cathy McGaffin
Name ______________________
Points,, Lines,, Line Segments,, and Rays
1. How many points are visible on these lines? _____
2. Which point is on more than one line? _____
3. How many lines are there in all? _____
4. What are the names of the lines? ____________________
5. Name at least 3 line segments found on these lines.
___________________________________________________
6. Name at least 3 rays found on these lines.
___________________________________________________
3.
©2013 by Cathy McGaffin
Name _____________________
Types of Lines
Intersecting Lines are two or more lines that ____________ over
each other. They meet at a ______________. That point would be
on __________ ____________.
Circle the intersecting lines.
We would say that ________ intersects _______ at point ____.
Wherever two lines intersect, they form _________________.
Angles are named by their points, with the __________ being in
the middle. One angle on these intersecting lines is __________
Name the other angles. _________________________________
Draw a set of lines that do not intersect.
Draw a set intersecting lines.
4.
©2013 by Cathy McGaffin
Name ______________________
Types of Lines
Parallel Lines are two lines which always stay the __________
____________ apart. They do not get __________ together or
__________apart. If a polygon has parallel lines, they will always
be on ______________________ sides.
Draw a set of parallel lines.
Draw a set of lines that are NOT
parallel, but do not intersect.
Circle the sets of parallel lines.
Put an X on the lines that are not parallel.
5.
©2013 by Cathy McGaffin
Name _______________________
Types of Lines
Perpendicular Lines are two lines that ____________ or will
________________at __________ ___________. They form
“_________ corners.” For every ___________ angle a polygon
has, it will have _____ set of ________________ lines.
Draw 3 sets of perpendicular lines in this box.
Circle the perpendicular lines.
Put an X on the lines that are not perpendicular.
6.
©2013 by Cathy McGaffin
Name _______________________
Angles
Angles
are geometric figures that are formed by two ______
that share a common __________________. Angles are
measured in ___________. If you went all the way around the
circle, it would be _________. Since 90 x 4 = ________, it makes
sense that it would take ______ 90° angles to go completely
around the circle.
90º
Circle all of the angles.
7.
©2013 by Cathy McGaffin
Name _______________________
Types of Angles
Acute Angle
Right Angle
Obtuse Angle
measures
measures
measures
___________________
___________________
____________________
___________________
Example:
___________________
Example:
____________________
Example:
Label each angle with either:
A for Acute
R for Right
O for Obtuse
Circle the straight angle.
8.
©2013 by Cathy McGaffin
Name _______________________
Angle Degrees
Sometimes we can figure out the size of an angle by comparing it to a
right angle, which is easy to recognize.
What is the measure of
< ABD? _______
< ABC? _______
< CBD? _______
What is the measure of
< EFI? _______
< EFG? ______
<GFH? ______
< HFI? ______
What is the measure of
< JKL? _______
< LKM? _______
< JKM? _______
9.
©2013 by Cathy McGaffin
Name _______________________
Using a Protractor
To truly measure an angle accurately, we use a protractor.
Put the right angle at the base of your protractor on the vertex of the angle you
are measuring. Make sure the ray at the bottom of your angle is lined up with
the base of the protractor. Read the number that the second ray passes through.
This is the angle measure. This angle is _____________
Measure each angle and write the measurement in degrees.
Tell if the angle is acute, right, or obtuse.
1.
2.
10.
©2013 by Cathy McGaffin
Name _______________________
Using a Protractor
Measure each angle using a protractor.
Tell if the angle is acute, right, or obtuse.
3.
4.
5.
6.
11.
©2013 by Cathy McGaffin
Name _______________________
Angle Degrees
8.
7.
9.
10.
12.
©2013 by Cathy McGaffin
°
Follow along and sketch an angle that measures 60°.
What kind of angle is it? ___________________
13.
Sketch an angle that measures 40°.
What kind of angle is it? ___________________
Sketch an angle that measures 110°.
What kind of angle is it? ___________________
14.
Sketch an angle that measures 90°.
What kind of angle is it? ___________________
Sketch an angle that measures 125°.
What kind of angle is it? ___________________
15.
Sketch an angle that measures 130°.
What kind of angle is it? ___________________
Sketch an angle that measures 45°.
What kind of angle is it? ___________________
16.
Sketch an angle that measures 35°.
What kind of angle is it? ___________________
Sketch an angle that measures 180°.
What kind of angle is it? ___________________
17.
Name _______________________
Missing Angle Measures
You can find a missing angle measure without using a
protractor. If the angle below has a total measure of 80°, what
is the measure of angle A?
To solve, you need to figure out what goes with 30 to make 80.
You can think of this in 2 different ways.
Either 30 + A = 80
Or, 80 – 30 = A
Either way, A = __________
18.
©2013 by Cathy McGaffin
Name _______________________
Missing Angle Measures
Find the missing angle measures. Show your thinking.
If the following angle has a measure of 150 °,
what is the measure of angle B?
Number Sentence:
______________________
B = __________
If the following angle has a measure of 95 °,
what is the measure of angle C?
Number Sentence:
______________________
C = __________
19.
©2013 by Cathy McGaffin
Name _______________________
Missing Angle Measures
Find the missing angle measures. Show your thinking.
If the following angle has a measure of 140 °,
what is the measure of angle D?
Number Sentence:
______________________
D = __________
If the following angle has a measure of 135 °,
what is the measure of angle E?
Number Sentence:
______________________
E = __________
20.
©2013 by Cathy McGaffin
Name _______________________
Missing Angle Measures
Find the missing angle measures. Show your thinking.
What is the measure of angle F?
Number Sentence:
______________________
F = __________
What is the measure of angle G?
Number Sentence:
______________________
G = __________
21.
©2013 by Cathy McGaffin
Name _________________________
Line Vocabulary Quiz
Draw each of the following:
Parallel lines
A vertical line
a point labeled M
A ray
Perpendicular lines
a line that includes 2
points labeled D and E
A horizontal line
Intersecting lines
A diagonal line
A line segment with
points B and C
Parallel vertical lines
Parallel Horizontal Lines
Name _________________________
Angle Quiz
Sketch each of the following:
A right angle
An obtuse angle
A straight angle
An acute angle
1
Name _________________________
Angle Quiz
Measure each angle with a protractor. Tell what kind of angle it is.
Measure: _______
Type of Angle: __________________
Measure: _______
Type of Angle: __________________
Measure: _______ Type of Angle: ___________________________
Measure: _______ Type of Angle: _______________________
2
Name _________________________
Angle Quiz
Sketch each of the following:
An angle that measures 150°
An angle that measures 75°
3
Name _________________________
Angle Quiz
Give the missing angle measure.
Total Measure of 100°
Total Measure of 140°
?
?
Missing Measure: _________
Missing Measure: _________
Total Measure of 65°
Total Measure of 115°
?
Missing Measure: _________
?
Missing Measure: _________
4
Answer Key:
Page 1:
Points: B D
Line: SU
Line Segments: (any two)
Ray:
Page 2:
point
Line
ray
Line
_________
________
_________
___________
ray
Line segment
ray
point
_________ __________ _________ ___________
Page 3:
1. 7 points
5. (any 3)
6. (any 3)
2. T
3. 2 lines
4.
Line
segment
_________
Line
_________
Name _____________________
Types of Lines
cross
Intersecting Lines are two or more lines that ____________
over
point
each other. They meet at a ______________.
That point would be
both
lines
on __________
____________.
Circle the intersecting lines.
< EFI or IFE, < IFG or GFI, < HFG or GFH
Draw a set of lines that do not intersect.
Draw a set intersecting lines.
Possible Answer
Possible Answer
4.
©2013 by Cathy McGaffin
Name ______________________
Types of Lines
same
Parallel Lines are two lines which always stay the __________
closer
____________
apart. They do not get __________
together or
distance
__________apart.
If a polygon has parallel lines, they will always
farther
be on ______________________
sides.
opposite
Possible Answers
Draw a set of lines that are NOT
Draw a set of parallel lines.
parallel, but do not intersect.
Circle the sets of parallel lines.
Put an X on the lines that are not parallel.
5.
©2013 by Cathy McGaffin
Name _______________________
Types of Lines
intersect
Perpendicular Lines are two lines that ____________
or will
right
angles
intersect
________________at
__________
___________.
They form
square corners.” For every ___________
right
“_________
angle a polygon
1 set of ________________
perpendicular lines.
has, it will have _____
Draw 3 sets of perpendicular lines in this box.
Some Possible Answers
Circle the perpendicular lines.
Put an X on the lines that are not perpendicular.
6.
©2013 by Cathy McGaffin
Page 7:
4
Page 8:
Acute Angle
Right Angle
Obtuse Angle
measures
measures
measures
Less
than 90°
______________
Exactly 90°
______________
Example:
more
than 90°
______________
Example:
Example:
Any angle
that is more
than 90°
Any angle
that is less
than 90°
R
R
A
A
O
A
Page 9:
What is the
measure of
90°
< ABD? _______
45°
< ABC? _______
45°
< CBD? _______
What is the
measure of
90°
< EFI? _______
30°
< EFG? ______
30°
<GFH? ______
What is the
measure of
90°
< JKL? _______
90°
< LKM? _______
180°
< JKM? _______
< HFI? ______
30°
Pages 10-12:
1. 60° acute
2. 120° obtuse
3. 140° obtuse
4. 20° acute
5. 75° acute
6. 90° right
7. 55° acute
8. 95° obtuse
9 160° obtuse
10. 40° acute
Pages 13-17: You will need to measure with a protractor to
check accuracy. I like to have students swap papers and
check each others angles.
Pages 18-21:
A = 50°
B: # Sent: Either 150-4 5 = B or 45 + B = 150
C: # Sent: Either 95-40 = C or 40 + C = 95
D: # Sent: Either 140-63 = D or 63 + D = 140
E: # Sent: Either 135-82 = E or 82 + E = 135
F : # Sent: Either 90-68 = F or 68 + F = 90
G : # Sent: Either 180-125= G or 125+G =180
B = 105°
C = 55°
D = 77°
E = 53°
F = 22°
G = 45°
Pages 13-17: You will need to measure with a protractor to
check accuracy. I like to have students swap papers and
check each others angles.
Pages 13-16:
A = 50°
B: # Sent: Either 150-4 5 = B or 45 + B = 150
C: # Sent: Either 95-40 = C or 40 + C = 95
D: # Sent: Either 140-63 = D or 63 + D = 140
E: # Sent: Either 135-82 = E or 82 + E = 135
F : # Sent: Either 90-68 = F or 68 + F = 90
G : # Sent: Either 180-125= G or 125+G =180
B = 105°
C = 55°
D = 77°
E = 53°
F = 22°
G = 45°
Name _________________________
Line Vocabulary Quiz
Draw each of the following:
Parallel lines
or
Answers may vary:
Possibilities are shown below.
A vertical line
or
a point labeled M
M
.
A ray
Perpendicular lines
a line that includes 2
points labeled D and E
A horizontal line
Intersecting lines
A diagonal line
or
or
A line segment with
points B and C
Parallel vertical lines
or
Parallel Horizontal Lines
or
Name _________________________
Angle Quiz
Sketch each of the following:
A right angle
An obtuse angle
Any angle larger than 90°
A straight angle
An acute angle
Any angle smaller than 90°
Sketch an angle that measures about
45°How do you know it’s about
45°?
Sketch an angle that measures about
30° How do you know it’s about
30°?
Students may draw a
90° angle and divide it
in half, since 45 is half
of 90.
Students may draw a
90° angle and divide it
into three equal angles,
since 30 x 3 is 90.
6.
Name _________________________
Angle Quiz
Measure each angle with a protractor. Tell what kind of angle it is.
50°
Measure: _______
acute
Type of Angle: __________________
125°
Measure: _______
obtuse
Type of Angle: __________________
obtuse
170° Type of Angle: ___________________________
Measure: _______
15°
acute
Measure: _______ Type of Angle: _______________________
Name _________________________
Angle Quiz
Give the missing angle measure.
Total Measure of 100°
Total Measure of 140°
?
?
70°
93°
Missing Measure: _________
Missing Measure: _________
Total Measure of 65°
Total Measure of 115°
?
?
25°
Missing Measure: _________
62°
Missing Measure: _________