Geometry - practice problems
Number of problems found: 2783
- 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?
- Supplementary angles 4
Angle A and angle B are supplementary. The measure of angle B is 82.5. What is the measure of angle A in degrees? Enter your answer as a decimal, if necessary, like this: 42.5
- Line - slope intercept form
What is 2x−y= 4 in slope intercept form?
- Garrett
Garrett and Jeffrey are planning a treasure hunt. They decide to place a treasure at a point that is a distance of 5 units from the x-axis and three units from the y -axis. Jeffrey places a treasure at point J at coordinates (5,3), and Garrett places one
- Rectangular 75334
In the rectangular coordinate system, find the images of points A[-3; 2] and B[4; -5] in central symmetry according to point O[0; 0]. A. A'[3; 2], B'l-4; -5] C. A'[-3; -2], B'[4; 5] B. A'[-3; -2], B'[-4; 5] D. A'[3; -2], B'[-4; 5]
- The slope
Find the slope of the line that passes through the following two points: (-3, 16) and (-5, 30) Give your answer as a number, rounded to the nearest tenth, if necessary.
- Parametric equation
Point A [6; -2]. Point B = [-3; 1] Write the parametric equation of the line BA so that t belongs to the closed interval < 0;3 >
- Place vector
Place the vector AB if A (3, -1), B (5,3) in point C (1,3) so that AB = CO.
- Perpendicular 28823
Points A(1,2), B(4,-2) and C(3,-2) are given. Find the parametric equations of the line that: a) It passes through point C and is parallel to the line AB, b) It passes through point C and is perpendicular to line AB.
- Coordinates of vector
Determine the coordinate of a vector u=CD if C(19;-7) and D(-16;-5)
- Slope
Find the slope of the line: x=t and y=1+t.
- (instructions: 3314
Find the distance of the parallels, which equations are: x = 3-4t, y = 2 + t and x = -4t, y = 1 + t (instructions: select a point on one line and find its distance from the other line)
- Midpoint of segment
Point A has coordinates [4; -11], and the midpoint of segment AB is point [17; -7]. What are the coordinates of point B?
- Slope form
Find the equation of a line given the point X(8, 1) and slope -2.8. Arrange your answer in the form y = ax + b, where a and b are the constants.
- Perpendicular
What is the slope of the perpendicular bisector of line segment AB if A[9,9] and B[9,-2]?
- Line
Line p passes through A[5, -3] and has a direction vector v=(2, 3). Is point B[3, -6] on the line p?
- Plane
On how many parts divide plane 6 parallels?
- Line
How many parts of the line divide 5 (different) points that lie on it?
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