Geometry - practice problems
Number of problems found: 3057
- Point 9
Point A has coordinates (3, 3). Point A moves 5 units to the left and 4 units down to a new point B. (a) Write down the coordinates of point B. (b) Which quadrant is point B in? - Sarah 4
Sarah and Jamal were learning partners in math class and were working independently. They each started at the point (−2, 5) and moved 3 units vertically in the plane. Each student arrived at a different endpoint. How is this possible? Explain and list the - At noon 3
At noon, the temperature was 45˚ F. For the next ten hours, the temperature fell at a steady rate. The graph represents the temperature every hour since noon. At 5:00 temperature was 20°F. At what rate did the temperature fall? - There 35
There are three points on a straight line: A, BC. If CD = 8x, DE = 3, and CE = x + 10, what is CD? Simplify your answer and write it as a proper fraction, mixed number, or integer.
- Collinear lines
Points A, B, and C are collinear, and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC? - The slope 2
What is the slope of the line that passes through the points (-4, -7) and (-2,-19)? Write your answer in the simplest form. - Line in normal form
Try to find the equation of a line given two points in the form Ax+By=C. passes through the points: (2,1) and (-2,2) - A linear
A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line? - X intercept
Given: 3y+2x=-6 Calculate the X-intercept.
- Y-intercept
Find the y-intercept of the graph (-3,-3), (4,3), (8,3). The x-intercept is 1/2. - The temperature 41
The temperature drops by 5 degrees per Hour in Alaska. It is 4 degrees at 6 PM. What will the temperature be at 9 PM? - Matrices 2
Suppose A=(1 6 3 −2) B=(4 −3 −4 3) find 2A+3B - Consecutive Interior Angles
PQRS is a trapezium in which PQ is parallel to SR and ∠P = 130 ̊, ∠Q = 110 ̊. Find the remaining angles. - A triangle 10
A triangle has vertices at (4, 5), (-3, 2), and (-2, 5). What are the coordinates of the vertices of the image after the translation (x, y) arrow-right (x + 3, y - 5)?
- Three 237
Three vertices of a rectangle have the coordinates (5, 3), (5, -1), (-1, -1). What are the coordinates of the fourth vertex of the rectangle? - Find all 2
Find all the complex solutions (write the answer in the form x+iy) of the system. {|z-12|/|z-8i|=5/3 ; |z-4|=|z-8| - Building blocks
Rosa bought a set of building blocks for her younger brother, Owen, for his birthday. Owen opened the gift and immediately used all 35 blocks in the set to build a tower shaped like a rectangular prism. Each block is a cube that is 1 1/2 inches along each - A function
A function follows the rule "y is 3 less than half of x". Express y as a function of x in the form of an equation. - Line equation:
Line equation: y-3=8/9(x-5) Solve for slope
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