Triangles and Rectangles on Coordinate Grids
The coordinate grid presents various lines and shapes like triangles and rectangles. Explore finding areas of triangles, lengths of line segments, and equations of intersecting lines on the grid. Practice coordinate geometry concepts with these interactive problems.
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The coordinate grid shows the lines y=x, y=20 and x=12 ? 1) Find the area of triangle ACO. A B C 2) Find the area of triangle DCB. D 3) Find the length of line segment BD. ? O
The coordinate grid shows the lines y=x, y=20 and x=12 ? 1) Find the area of triangle ACO. A B C 2) Find the area of triangle DCB. D 3) Find the length of line segment BD. ? O
The coordinate grid shows the lines ? = 4 and ? = 7 ? 1) Find the coordinates of point of A. A 2) Find the area of the shaded rectangle. 3) Will the line ? = ? go through point A? Justify your answer. ?
The coordinate grid shows the lines ? = 5 and ? = 18 ? 1) Find the coordinates of point of A. A 2) Find the area of the shaded rectangle. 3) Find the area of the triangle with the vertices (0,0), (-5,0) and (-2, 18). ?
The coordinate grid shows a horizontal and vertical line that intersect at the point A (-10, -30) ? 1) Find the equation of each line. ? 2) Find the area of the shaded rectangle. 3) The rectangle is translated by the vector 4 image of point A? A 5. What is the
The coordinate grid shows a horizontal and vertical line that intersect at the point A (3 8, 3 4) ? 1) Find the equation of each line. ? 2) Find the area of the shaded rectangle. 3) The rectangle is translated by the vector 1 image of point A? A 1. What is the
The coordinate grid shows a horizontal and vertical line that intersect at the point A, which has integer coordinates. ? The area of the shaded rectangle is 51 units squared. ? Find the equation of both lines. A
The coordinate grid shows a horizontal and vertical line that intersect at the point A, which has integer coordinates. ? The x-value of A is half the y-value. ? The area of the shaded rectangle is 162 units squared. Find the equation of both lines. A
The coordinate grid shows a horizontal and vertical line that intersect at the point A, which has integer coordinates. ? The sum of the x and y values of coordinate A is negative 5. ? The area of the shaded rectangle is 24 units squared. Find the equation of both lines. A
The coordinate grid shows a vertical line and the line ? = ? ? The area of the shaded right-angled triangle is 50 units. Find the coordinates of point A. ? A
? The coordinate grid shows the following lines: ? = ? ? = 3 ? = 7 Find the area of the shaded triangle. ?
? The coordinate grid shows the following lines: ? = ? ? = 6 ? = 3 ? Find the area of the shaded triangle.
? The coordinate grid shows the following lines: ? = ? ? = 6 ? = 3 ? Find the area of the shaded triangle.
? The coordinate grid shows the following lines: ? = ? ? = 6 ? = 3 ? Find the area of the shaded triangle.
? The coordinate grid shows the following lines: ? = ? ? = ? ? = 3 ? Find the area of the shaded triangle.
? The coordinate grid shows the following lines: (10,0) X ? = ? ? = ? ? = 15 ? Find the area of the shaded triangle.
? The coordinate grid shows the following lines: ? = ? ? = 12 ? = 8 ? Find the area of the shaded triangle. X (1,-3)
The coordinate grid shows the following lines: ? = ? ? = 12 ? = 3 ? = 7 ? B D C 1) Find the length of line segment EH. 2) Find the coordinates of point C. E 3) Find the area of triangle OEH. 4) Find the length of line segment CD. A G F 5) Find the area of triangle CDE. 6) Find the area of quadrilateral OFGH. ? O H 7) Find the area of triangle ACO.
The coordinate grid shows the following lines: ? = ? ? = ? ? = 9 ? = 5 ? F E G D 1) Find the length of line segment EG. C 2) Find the coordinates of point C. 3) Find the area of triangle ACO. ? 4) Find the length of line segment EA. B O 5) Find the area of triangle DEC. 6) Find the coordinates of point D. A 7) Find the area of quadrilateral OCEF.
? = ? ? = 3654 ? = 2852 The coordinate grid shows the following lines: ? Point A lies in the fourth quadrant. Find the area of the shaded triangle in terms of x and/or y. ? If A is an integer coordinate point in the fourth quadrant that does not lie on either axis, what set of coordinates will give the minimum area for the shaded triangle? X A: (x,y)
