Distance
Midpoint
Slope
Area and Perimeter
Distance on a Coordinate Plane
100
What is the distance between (2,7) and (-6,3)?
8.9
100
What is the point between (5,11) and (1,4)?
(3,7.5)
100
After traveling for 2.5 hours, Kevin had 6 miles left.
After traveling for 4.75 hours, Kevin had 2 miles left.
Use the slope formula to find the slope.
(2-6)/(4.75-2.5) = 1.7777...
100
Find the area of the triangle.
7.5 units2
1/2(5 * 3)= 7.5
100
What is the midpoint of the line segment?
(1/2,1/2)
200
What is the distance between (9,2) and (7,1)?
2.2
200
What is the point between (-11,-4) and (8,8)?
(-1.5,2)
200
Line A goes through the point (5, -6) and (7, 4) and Line B goes through the points (2, 8) and (6, -12). Are the lines parallel, perpendicular, or neither? Explain.
Neither; Line A has a slope of positive 5 and Line B has a slope of negative 5. So, they are not the same nor opposite reciprocals.
200
What is the perimeter of the triangle? Explain.
13.8
52+32=c2
34 = c2
5.8 = c
5.8+5+3=13.8
200
Find the distance of the line segment AB.
5.4
300
Fred wants to ride his bike to school, but only if the ride to school is less than 5 miles. What is the distance between Fred's house (11,2) and Fred's school(5,7)? Can he ride to school on his bike?
7.8 miles; No, he cannot.
300
Sue wanted to go to her friend's house. Her friend told Sue to meet with her at the exact point between their houses. She asked you to help her with the math. Her house's coordinates are (13,4) and her friend's house is located at (3,16). What is the midpoint?
(8,10)
300
Do the equations represent parallel lines, perpendicular lines, or neither? Explain how you know.
−2x + y = −8
y = 2x + 10
Parallel lines; both equations have a slope of positive 2.
300
What is the perimeter of the square? Round to the nearest tenths.
4.5*4= 18
300
Find the distance and midpoint of the line segment.
Distance: Square root 5
Midpoint:
400
The following grid shows different location in a school building. What is the distance between the library and the gym? Round to the nearest tenths.
8.9
400
What is the point between (22, -6) and (8,3)?
(15,-1.5)
400
What is the slope of the line that is parallel to Austin Road?
-2/3
400
Find the area of the triangle if each square is 2 units. Explain your method for finding the answer.
A = 1/2(26 * 12) = 156 units2
400
Write the distance formula.
d = Square root of: (x2-x1)^2 + (y2-y1)^2
500
On a map’s coordinate grid, Walt City is located at (−1, −3) and Koshville is located at (4,9). How long is the train’s route if it travels along a straight line from Walt City to Koshville? (One map unit equals two miles.)
13*2= 26 miles
500
The point P(13, -1) is the midpoint of points A(a, 5) and B( 10, b). What is the value of a and b?
a is 16 and b is -7
500
What is the equation of the line that is perpendicular to Fairview Road and passes through Mableton?
y = -4x + 5
500
42.5
Area pf rectangle: 11*5= 55
Area of triangle 1: 1/2(5*3)= 7.5
Area of triangle 2: 1/2(5*2)= 5
55-12.5= 42.5
500
The entrance to a school is at the origin. A student starts on the walking path and stays on the path until the student reaches the Gym on the walking path. What is the approximate distance the student walked?
10.8 units
Entrance to the Commons = 4.5 units
Commons to Gym = 6.3 units
4.5 + 6.3 = 10.8 units