Engage NY Eureka Math 5th Grade Module 6 Lesson 5 Answer Key
Eureka Math Grade 5 Module 6 Lesson 5 Problem Set Answer Key
Question 1.
Use the coordinate plane to the right to answer the following questions.
a. Use a straightedge to construct a line that goes through points A and B. Label the line e.
b. Line e is parallel to the ______-axis and is perpendicular to the ______-axis.
c. Plot two more points on line e. Name them C and D.
d. Give the coordinates of each point below.
A: ________
B: ________
C: ________
D: ________
e. What do all of the points of line e have in common?
f. Give the coordinates of another point that would fall on line e with an x-coordinate greater than 15.
Answer:
b. Line e is parallel to the X-axis and is perpendicular to the Y-axis.
d. The coordinates of each point below.
A: (3, 4)
B: (11, 4)
C: (5, 4)
D: (8, 4)
e. All of the points of line e have in common Y-Coordinate.
f. The coordinates of another point that would fall on line e with an x-coordinate greater than 15 is ( 16, 4 )
Question 2.
Plot the following points on the coordinate plane to the right.
P: (1\(\frac{1}{2}\), \(\frac{1}{2}\))
Q: (1\(\frac{1}{2}\), 2\(\frac{1}{2}\))
R: (1\(\frac{1}{2}\), 1\(\frac{1}{2}\))
S: (1\(\frac{1}{2}\), \(\frac{3}{4}\))
a. Use a straightedge to draw a line to connect these points. Label the line h.
b. In line h, x = _____ for all values of y.
c. Circle the correct word.
Line h is parallel perpendicular to the x-axis.
Line h is parallel perpendicular to the y-axis.
d. What pattern occurs in the coordinate pairs that let you know that line h is vertical?
Answer:
b. In line h, x =1\(\frac{1}{2}\) for all values of y.
c. 
d . All the coordinate pairs form a straight line .
Question 3.
For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the x-axis? Circle your answer(s). Without plotting them, explain how you know.
a. (1.4, 2.2) and (4.1, 2.4)
b. (3, 9) and (8, 9)
c. (1\(\frac{1}{4}\), 2) and (1\(\frac{1}{4}\), 8)
Answer:
Option b
Explanation :
To form a parallel line to x -axis, the y-coordinates should be same for all x-coordinates. so in option c we have same y -coordinates b. (3, 9) and (8, 9).
Question 4.
For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the y-axis? Circle your answer(s). Then, give 2 other coordinate pairs that would also fall on this line.
a. (4, 12) and (6, 12)
b. (\(\frac{3}{5}\), 2\(\frac{3}{5}\)) and (\(\frac{1}{5}\), 3 \(\frac{1}{5}\))
c. (0.8, 1.9) and (0.8, 2.3)
Answer:
Option c
Explanation :
To form a parallel line to y -axis, the x-coordinates should be same for all y-coordinates. so in option a we have same y -coordinates (0.8, 1.9) and (0.8, 2.3)
The 2 Other coordinate pairs that would also fall on this line are (0.8, 2) and (0.8, 2.1)
Question 5.
Write the coordinate pairs of 3 points that can be connected to construct a line that is 5\(\frac{1}{2}\) units to the right of and parallel to the y-axis.
a. ________________
b. ________________
c. ________________
Answer:
A (5\(\frac{1}{2}\) ,\(\frac{1}{2}\))
B (5\(\frac{1}{2}\), 2\(\frac{1}{2}\))
C (5\(\frac{1}{2}\), 3)
Explanation :
To form a parallel line to y -axis, the x-coordinates should be same for all y-coordinates.
Question 6.
Write the coordinate pairs of 3 points that lie on the x-axis.
a. ________________
b. ________________
c. ________________
Answer:
A ( 3, 0 )
B ( 5, 0)
C ( 7, 0)
Explanation :
To lie 3 points on x – axis y coordinates should be 0 . then any point with different x-coordinates lie on x-axis.
Question 7.
Adam and Janice are playing Battleship. Presented in the table is a record of Adam’s guesses so far.
He has hit Janice’s battleship using these coordinate pairs. What should he guess next? How do you know? Explain using words and pictures.
(3, 11) hit
(2, 11) miss
(3, 10) hit
(4, 11) miss
(3, 9) miss
Answer:
Next Coordinate will be (3, 8)
Explanation :
By plotting the 5 coordinate points above the shape formed is T . So, The next coordinate can be (3, 8) it completes the letter T.
Eureka Math Grade 5 Module 6 Lesson 5 Exit Ticket Answer Key
Question 1.
Use a straightedge to construct a line that goes through points A and B. Label the line l.
Answer:
Explanation :
A and B points are joined and labeled as line l
Question 2.
Which axis is parallel to line l?
Which axis is perpendicular to line l?
Answer:
y – axis is parallel to line l
x – axis is perpendicular to line l
Question 3.
Plot two more points on line l. Name them C and D.
Answer:
Explanation :
Two points are plotted on line l and named as C and D .
C is marked at ( 4, 5 )
D is marked at ( 4, 4)
Question 4.
Give the coordinates of each point below.
A: ___________
B: ___________
C: ___________
D: ___________
Answer:
A : ( 4, 6 )
B: ( 4, 3 )
C: ( 4, 5 )
D: ( 4, 4 )
Question 5.
Give the coordinates of another point that falls on line l with a y-coordinate greater than 20.
Answer:
( 4, 22 )
Explanation :
All the x- coordinates are the same it is parallel line to y – axis and given y – coordinate should be greater than 20 so, (4, 22) .
Eureka Math Grade 5 Module 6 Lesson 5 Homework Answer Key
Question 1.
Use the coordinate plane to answer the questions.
a. Use a straightedge to construct a line that goes through points A and B. Label the line g.
b. Line g is parallel to the ______-axis and is perpendicular to the ______-axis.
c. Draw two more points on line g. Name them C and D.
d. Give the coordinates of each point below.
A: ___________
B: ___________
C: ___________
D: ___________
e. What do all of the points on line g have in common?
f. Give the coordinates of another point that falls on line g with an x-coordinate greater than 25.
Answer:
b. Line g is parallel to the x-axis and is perpendicular to the y-axis.
c.
d. The Coordinates are written below
A: (4, 8)
B: (9, 8)
C: (5, 8)
D: (7, 8)
e. All of the points on line g have in common is y-coordinate .
f. The coordinates of another point that falls on line g with an x-coordinate greater than 25 is ( 28 , 8) .
All of the points on line g have in common is y-coordinate .
Question 2.
Plot the following points on the coordinate plane to the right.
H: (\(\frac{3}{4}\), 3)
I: (\(\frac{3}{4}\), 2\(\frac{1}{4}\))
J: (\(\frac{3}{4}\), \(\frac{1}{2}\))
K: (\(\frac{3}{4}\), 1\(\frac{3}{4}\))
a. Use a straightedge to draw a line to connect these points. Label the line f.
b. In line f, x = ______ for all values of y.
c. Circle the correct word:
Line f is parallel perpendicular to the x-axis.
Line f is parallel perpendicular to the y-axis.
d. What pattern occurs in the coordinate pairs that make line f vertical?
Answer:
a.
b. In line f, x = \(\frac{3}{4}\) for all values of y.
c. 
d. all the points form a straight line .
Question 3.
For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the x-axis? Circle your answer(s). Without plotting them, explain how you know.
a. (3.2, 7) and (5, 7)
b. (8, 8.4) and (8, 8.8)
c. (6\(\frac{1}{2}\), 12) and (6.2, 11)
Answer:
a. (3.2, 7) and (5, 7)
Explanation :
To form a parallel line to x -axis, the y-coordinates should be same for all x-coordinates.
In option a. (3.2, 7) and (5, 7)we have same x – coordinate .
Question 4.
For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the y-axis? Circle your answer(s). Then, give 2 other coordinate pairs that would also fall on this line.
a. (3.2, 8.5) and (3.2, 24)
b. (13\(\frac{1}{2}\), 4\(\frac{2}{3}\)) and (13\(\frac{1}{3}\), 7)
c. (2.9, 5.4) and (7.2, 5.4)
Answer:
a. (3.2, 8.5) and (3.2, 24)
Explanation :
To form a parallel line to y -axis, the x-coordinates should be same for all y-coordinates.
In Option a. (3.2, 8.5) and (3.2, 24) we have same x-coordinates .
Question 5.
Write the coordinate pairs of 3 points that can be connected to construct a line that is 5\(\frac{1}{2}\) units to the right of and parallel to the y-axis.
a. ________________
b. ________________
c. ________________
Answer:
A ( 5\(\frac{1}{2}\), 2\(\frac{1}{2}\) )
B ( 5\(\frac{1}{2}\), 5\(\frac{1}{2}\))
C ( 5\(\frac{1}{2}\), 4)
Explanation :
To form a parallel line to y -axis, the x-coordinates should be same for all y-coordinates.
Question 6.
Write the coordinate pairs of 3 points that lie on the y-axis.
a. ________________
b. ________________
c. ________________
Answer:
A ( 0, 2 )
B ( 0, 4)
C ( 0, 6)
Explanation :
The 3 points that lie on the y-axis means x-coordinate should be 0 then all the points lie on y-axis .
Question 7.
Leslie and Peggy are playing Battleship on axes labeled in halves. Presented in the table is a record of Peggy’s guesses so far. What should she guess next? How do you know? Explain using words and pictures.
(5, 5) miss
(4, 5) hit
(3\(\frac{1}{2}\), 5) miss
(4\(\frac{1}{2}\), 5) miss
Answer:
Explanation :
All the above points form a straight line so, the next point should also form a straight line so, the next point is (3, 5 )
