Directed Line Segment
Line through a point
Midpoint/Distance
Area/Perimeter
Prove this shape!
100
Find the point that will split the line, going from point A(1, 2) and B(10, 2) into the ratio 1:2.
What is (4,2)
100
Identify the SLOPE of a line that would lie Parallel to Y=1/2x - 6
What is slope= 1/2
100
What is the midpoint between point Q(8, -2) and R(-4, -8)
What is (2, -5)
100
Define Perimeter.
What is add up all the outer edges of the polygon.
100
Define Perpendicular Slope
What is Perpendicular Slope= opposite reciprocal
200
What is a ratio?
What is a comparison between two numerical quantities
200
Identify the SLOPE of the line that would lie Perpendicular to Y=3x + 7
What is slope= -1/3
200
Find the distance between these two points: D(3, 1) and E(7, -6)
What is sqrt(65)
200
Find the perimeter of the polygon located at coordinates (-2, 0) (-2, 5) (0,5) and (0,0).
What is 14 units
200
Prove that a triangle with coordinates at (1,1) (1, 5) and (6, 1) is indeed a right triangle.
What is Slopes are 0 and undefined, thus opposite reciprocals and therefore perpendicular, creating a right angle.
300
A line stretches from point Q(5, 9) and R(-3, 7). Find the point that will split the line into the ratio 1:1.
What is (1, 8)
300
Name the Parallel line to Y=4x + 6 that would pass through the point (-2,6)
What is Y=4x +14
300
Find the distance between point A(-3, 4) and B(-9, 6).
What is sqrt(40)
300
Find the area of the triangle located at the coordinates (0,0) (0, 6) and (8,0).
What is 24 units squared.
300
Prove that the polygon defined by the coordinates (1,1) (2,2) (3,1) and (2,0) is a square.
What is Slopes are all perpendicular, thus forming right angles, and therefore determining it's a square.
400
A line stretches from the points A(-4, -6) and B(4,6). Ken wants to find the point that will split the line into the ratio 1:3. Where is that point?
What is (-2,-3)
400
Name a Perpendicular line to Y=4x + 6 that goes through the point (4,5).
What is Y= -1/4x + 6.
400
Katniss lives on the corner of 2nd street(X) and 10th Ave.(Y). Peeta lives on the corner of 6th street and 10th Ave. She wants to meet Peeta at a shop that lies halfway between them. What is the coordinates of the shop?
What is 4th Street and 10th Ave.
400
Find the area AND perimeter of the parallelogram with the coordinates A(1,0) B(4,4) C(9,4) and D(6,0).
What is Area: 20 units squared Perimeter: 20 units
400
Prove that the shape formed by the coordinates (1,0) (4,4) (9,4) and (6,0) is a parallelogram.
What is Opposite sides of the parallelogram have the same slopes, which makes them parallel. Thus it is a parallelogram.
500
John lives on 3rd street and 3rd Ave. His business office is located on 15th street and 3rd Ave. Every morning he stops at Dunkin' Doughnuts which is 2/3 of the way to his office. Where is Dunkin' Doughnuts located?
What is 11th street and 3rd Ave.
500
Name a Parallel AND Perpendicular line to Y=2x - 5 that will both pass through the point (4, 10).
What is Parallel: Y=2x + 2 Perpendicular: Y= -1/2x + 12
500
Jill lives on 5th street and 7th Ave. Her friend Jan lives on 1st street and 4th Ave. How far must she walk to get to Jan's house?
What is 5 blocks.
500
Find the area of the polygon with coordinates at (4, 5) (-1, 3) (0,1) and (3,2).
What is 10 units squared
500
Prove the polygon formed by the coordinates (-1, 0) (0,3) (-3, 3) and (4,0) is indeed a parallelogram.
What is Slopes of opposite sides are parallel, thus making it a parallelogram.