1. What are the coordinates of point A(-2,4) reflected over the x-axis?
Answer: A' (-2, -4)
2. Given points P(3,4) and Q(7,-2), find the distance between them.
Answer: Distance = √( (7-3)^2 + (-2-4)^2 ) = √(16 + 36) = √52
3. What are the coordinates of the midpoint of line segment AB with endpoints A(-3,2) and B(5,-4)?
Answer: Midpoint = ( (-3+5)/2 , (2-4)/2 ) = (1, -1)
4. Find the equation of the line passing through points A(2,3) and B(5,-1).
Answer: Slope = (-1-3) / (5-2) = -4/3
Using point-slope form: y - 3 = -4/3(x - 2)
y = (-4/3)x + (10/3)
5. Determine whether the points A(-2,1), B(3,4), and C(8,1) form a right triangle.
Answer: Calculate the slopes of AB, BC, and AC and check if any two slopes are negative reciprocals.
6. What net produces a cylinder when folded?
Answer: A rectangle net with two circles at opposite ends.
7. If a cuboid has dimensions of 6cm x 4cm x 2cm, what is the total surface area?
Answer: Total surface area = 2lw + 2lh + 2wh = 2(6)(4) + 2(6)(2) + 2(4)(2) = 48 + 24 + 16 = 88 cm²
8. What 2D shape produces a cube when folded?
Answer: A net made up of 6 squares, arranged in a specific way.
9. Determine the volume of a triangular prism with base area 12 cm² and height 8 cm.
Answer: Volume = base area × height = 12 cm² × 8 cm = 96 cm³
10. If the point (5,-3) is reflected over the y-axis, what are the new coordinates?
Answer: (-5,-3)
answers for Coordinate Geometry and Nets Unit Test
1 answer