Name______Date______Class______
Practice A
Midpoint and Distance in the Coordinate Plane
Complete the statements.
1.A coordinate plane is a plane that is divided into four regions by a horizontal
number line, the ______, and a vertical number line, the ______.
2.The location, or ______, of a point are given by an ordered pair (x, y).
Use the figure for Exercises 3–5.
The midpoint of a segment has an x-coordinate that is the average of
the x-coordinates of its endpoints . The midpoint of a segment
has a y-coordinate that is the average of the y-coordinates of its
endpoints .
3.Q has coordinates (0, 0). R has coordinates (3, 0).
Find the midpoint of .______
4.S has coordinates (0, 2). Find the midpoint of .______
5.T has coordinates (3, 2). Find the midpoint of.______
Use the figure for Exercises 6 and 7.
6.I is the midpoint of . H has coordinates (0, 0), and
I has coordinates (1, 2). Sketch these points in the
coordinate plane. Study the graph and guess where
J will be. Draw .
7.Find the coordinates of J by using the Midpoint Formula.______
Use the figure for Exercises 8–12.
Manuel is out for a jog. The thick lines on the grid are
jogging paths. He is on his way home and is at D.
His home is at E. Each unit on the grid is 1 mile.
8.Name the coordinates of D.______
9.Find how many miles Manuel will jog if he goes straight to
the x-axis.______
10.Find how many miles Manuel will jog if he stays on the jogging
paths all the way home.______
11.Find how many miles Manuel will jog if he goes straight to
the y-axis.______
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra
Name______Date______Class______
3. –4.1
5.–1
6.yes, and are perpendicular because 1(–1) –1.
Midpoint and Distance in the Coordinate Plane
Practice A
1.x-axis; y-axis2.coordinates
3.4.(0, 1)
5.6.
7.(2, 4)8.(1, 3)
9.3 miles10.4 miles
11.1 mile
Practice B
1.(3, 3)2.
3.(4, 2)4. units
5. units6. units
7. and 8.6.4 units
9.11.4 units10.13.4 ft
11.101.8 in.
Practice C
1.
2.(a, b)3.(2d, 2e)
4.rectangle
5.13.4 m6.10 m2
7.11.7 m8.(17, 3)
Review for Mastery
1.(1, 5)2.(1, 1)
3.(3, 6)4.(5, 0.5)
5.(12, 4)6.(15, 3)
7.7.1 units8.9 units
9.8.5 units10.11.4 units
11.5.7 units12.9.4 units
Challenge
1.29.6 units
2.(3, 2.5), (1.5, 0.5), (0.5, 5)
3.14.8 units
4.The perimeter ofABCis twice the perimeter of the second triangle.
5.12.2; 16.1 units
6.Both midpoints are at (1, 1). This is the point where the diagonals intersect.
7.(1, 19)
8.78.7 units; 493.2 units2
9.The diameter of the circle is approximately 25.1 units, so the radius is half that distance, or about 12.55 units. The distance from the center of the circle to G is 18 units. So G is not a point on the circle.
Problem Solving
1.82.5 ft2.85.9 ft
3.47.4 m4.18.4 m
5.B
6.H7.C
© Houghton Mifflin Harcourt Publishing Company
Holt McDougal Coordinate Algebra