Lesson 7
NYS COMMON CORE MATHEMATICS CURRICULUM
6•5
Lesson 7: Distance on the Coordinate Plane
Classwork
Example 1
Determine the lengths of the given line segments by determining the distance between the two endpoints.
Line
Segment
Point
Point
Distance
Proof
̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅
Lesson 7:
Date:
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Distance on the Coordinate Plane
3/29/15
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Lesson 7
NYS COMMON CORE MATHEMATICS CURRICULUM
6•5
Exercises
Complete the table using the diagram on the coordinate plane.
Line
Segment
Point
Point
Distance
Proof
̅̅̅̅
̅̅̅̅̅
̅̅̅̅
̅̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅
Lesson 7:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Distance on the Coordinate Plane
3/29/15
S.31
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NYS COMMON CORE MATHEMATICS CURRICULUM
Lesson 7
6•5
Extension
For each problem below, write the coordinates of two points that are
points having the following characteristic:
a.
The segment is vertical.
b.
The segment intersects the -axis.
c.
The segment intersects the -axis.
d.
The segment is vertical and lies above the -axis.
Lesson 7:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
units apart with the segment connecting these
Distance on the Coordinate Plane
3/29/15
S.32
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Lesson 7
NYS COMMON CORE MATHEMATICS CURRICULUM
6•5
Problem Set
1.
Given the pairs of points, determine whether the segment that joins them will be horizontal, vertical, or neither.
a.
2.
and
b.
and
c.
and
Complete the table using absolute value to determine the lengths of the line segments.
Line Segment
Point
Point
Distance
Proof
̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅̅
̅̅̅
3.
Complete the table using the diagram and absolute value to determine the lengths of the line segments.
Line
Segment
Point
Point
Distance
Proof
̅̅̅̅
𝐴𝐵
̅̅̅̅
𝐵𝐶
̅̅̅̅
𝐶𝐷
̅̅̅̅
𝐷𝐸
̅̅̅̅
𝐸𝐹
̅̅̅̅
𝐹𝐴
Lesson 7:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
Distance on the Coordinate Plane
3/29/15
S.33
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Lesson 7
NYS COMMON CORE MATHEMATICS CURRICULUM
4.
6•5
Complete the table using the diagram and absolute value to determine the lengths of the line segments.
Line
Segment
Point
Point
Distance
Proof
̅̅̅̅
𝐴𝐵
̅̅̅̅
𝐶𝐺
̅̅̅̅
𝐶𝐹
̅̅̅̅
𝐺𝐹
̅̅̅̅
𝐷𝐻
̅̅̅̅
𝐷𝐸
̅𝐻𝐽
̅̅̅
̅̅̅̅
𝐾𝐿
5.
Name two points in different quadrants that form a vertical line segment that is
6.
Name two points in the same quadrant that form a horizontal line segment that is
Lesson 7:
Date:
© 2014 Common Core, Inc. Some rights reserved. commoncore.org
units in length.
units in length.
Distance on the Coordinate Plane
3/29/15
S.34
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