Parallel, Perpendicular, or Neither?
Line m has a slope of 3. Line n has a slope of -1/3.
What is perpendicular?
What is the perimeter of a 7 by 9 rectangle?
What is 32?
What three things define a square?
What is "equal sides, perpendicular lines, and parallel lines"?
Describe the transformation that takes (x,y) to (x-4, y-1).
What is "Translate the shape left four and down one"?
What are the coordinates of the point on the directed line segment from (0,0)to (6,0) that partitions the segment into a ratio of 1 to 1?
What is (3,0)?
Line m has a slope of 1/2. Line n has a slope of -1/2.
What is neither?
What is the perimeter of a 7 by 4 rectangle?
This shape has a slope of 1/2, 1/2, -1/2, -1/2. What is the shape and how do you know?
What is a rhombus? It has opposite parallel sides and equal side lengths of the square root of 5.
Describe the transformation that takes (x,y) to (1.5x, 1.5y).
What is "dilate the shape by scale factor 1.5"?
What are the coordinates of the point on the directed line segment from (0,0)to (0,9) that partitions the segment into a ratio of 1 to 2?
What is (0,3)?
y−4=−2/3(x+1)
y=6/4x+8
What is perpendicular?
A rectangle has a length of 12 units and a width of 8 units. Find its perimeter.
What is 40?
Show that the triangle formed with vertices at (0,0),(4,3), and (−2,11) is a right triangle.
What is "The slope of one side is 3/4 and another side has slope −4/3, so they form a right angle."?
Describe the transformation that takes (x,y) to (-y,x).
What is "Rotate the shape 90 degrees counterclockwise (or 270 clockwise) around the center."?
What are the coordinates of the point on the directed line segment from (−1,7)to (8,−2) that partitions the segment into a ratio of 2 to 1?
What is (5,1)?
3x+2y=10
y-2=-3/2(x-1)
What is parallel?
A square has an area of 16. What are each of the side lengths?
What is 4?
A rhombus has vertices at (0,0),(5,0),(3,4),and (8,4).
Find the slopes of the 2 diagonals of the rhombus.
What do the slopes tell you about the diagonals?
What is -2 and 1/2 - the lines are perpendicular?
Describe the transformation that takes (x,y) to (x+2, -y).
What is "Translate the shape right two and reflect across the x-axis"?
What are the coordinates of the point on the directed line segment from (−2,7) to (8,−8) that partitions the segment into a ratio of 2 to 3?
What is (2, 1)?
What is the perpendicular slope of a line passing through (10, -6) and (11,-8)?
What is 1/2?
One of the sides of a square has a slope of 5/12. What is the area of the square?
What is 169?
A quadrilateral has vertices A=(0,0), B=(1,3), C=(0,4), and D=(−1,1). Prove that ABCD is a parallelogram.
What is "Side AB is parallel to side CD because both have slopes of 3. Side AD is parallel to side BC because both have slopes of −1. A quadrilateral with 2 pairs of parallel sides is a parallelogram."
A triangle has its points on (3,5), (4,2), and (2,3), complete and describe the transformation from (x,y) to (-x,y).
What is (-3,5), (-4,2), (-2,3): "Reflect the triangle across the y-axis"?
What is the coordinate (−5,−2) to (−2,4) that partitions the segment into a ratio of 1 to 5?
What is (-4.5, -1)?