6th Grade Math Coordinate Plane Unit Test

<p>Plot the following points on a coordinate plane: </p><ul><li>Point `H (–5, 2)`</li><li>Point `I (-5, -7)`</li><li>Point `J (4, -6)`</li></ul> <selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'> <LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1, "x_axis_name": "x", "y_axis_name": "y", "x_axis_name_color": "black" }, "points": [ { "id": 0, "x": 0, "y": 0, "show_point": false, "highlight_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false } ], "line_segments": []}'></LineGraph> </selectivedisplay>

<p>Plot the following points on a coordinate plane: </p> <ul><li>Point `L (-2, 5)`</li> <li>Point `M (6, -7)`</li> <li>Point `N (7, 8)`</li> </ul> <selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'> <LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1, "x_axis_name": "x", "y_axis_name": "y", "x_axis_name_color": "black" }, "points": [ { "id": 0, "x": 0, "y": 0, "show_point": false, "highlight_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false } ], "line_segments": []}'></LineGraph> </selectivedisplay>

<p>Plot the following points on a coordinate plane: </p> <ul><li>Point `P (2.5, -3)`</li><li>Point `Q (-3.5, -5)`</li><li>Point `R (-1, 1.5)`</li> </ul> <selectivedisplay data-props='{"show_in_create":true, "show_in_problem_qa": true}'> <LineGraph data-props='{ "options": { "x_min": -5, "y_min": -5, "y_max": 5, "x_max": 5, "cell_size": 20, "x_interval": 0.5, "y_interval": 0.5, "x_axis_name": "x", "y_axis_name": "y", "x_axis_name_color": "black", "x_skip_interval": 1, "y_skip_interval": 1, "show_major_and_minor_grid_lines": true }, "points": [ { "id": 0, "x": 0, "y": 0, "show_point": false, "highlight_point": false, "show_coordinates": false, "show_x_intercept": false, "show_y_intercept": false } ], "line_segments": []}'></LineGraph > </selectivedisplay>

<p>Point P is located at (5,–2). </p> <LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 0, "x": 5, "y": -2, "show_point": true, "highlight_point": false, "highlight_point_color": "#00", "point_shape": "line", "x_coordinate_highlight": true, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label":"P " } ], "line_segments": [ { "first_point_id": 0, "second_point_id": 1, "show_start_arrow": true, "show_end_arrow": true, "start_arrow_shape": "bar", "end_arrow_shape": "bar", "highlight_line": "#377CF6", "label": "3" }, { "first_point_id": 1, "second_point_id": 2, "show_start_arrow": true, "show_end_arrow": true, "start_arrow_shape": "bar", "end_arrow_shape": "bar", "highlight_line": "#377CF6", "label": "5" } ] }'></LineGraph ><p>You move it right `4` units and down `1` unit to plot Q.</p><p>What are the coordinates of Q?</p>

<p>Point C is located at (`–4`,`1`). </p> <p>You move it right `7` units and up `4` units to plot D. </p> <p>What are the coordinates of D? </p>

<p>Point E is located at (`–3`,`4`). </p> <p>You move it right `5` units and up `6` units to plot F. </p> <p>What are the coordinates of F? </p>

<p>Point Q is located at (`-1`,`6`). </p><p>You move it down `9` units and right `2` units to plot R.</p><p>What are the coordinates of R?</p>

<p>Point C is located at (`–4.5`,`1`). </p><p>You move it up `3` units and right `7` units to plot D.</p><p>What are the coordinates of D?</p>

<p>Point G is located at (`-2.5`,`-3`). </p><p>You move it up `8` units and right `4` units to plot H.</p> <p>What are the coordinates of H? </p>

<p>The point `Z` is given on the coordinate plane. Point `A` is the reflection of Point `Z` over the y-axis.</p> <ul><li>Plot Point `A`.</li> <li>Find the coordinates of Point `A`.</li></ul><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1, "x_axis_name": "x", "y_axis_name": "y" }, "points": [ { "id": 0, "x": -4, "y": -5, "show_point": true, "highlight_point": true, "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false, "label": "Z", "highlight_point_color": "#377CF6" } ], "line_segments": []}'></LineGraph >

<p>The point `U` is given on the coordinate plane. Point `V` is the reflection of Point `U` over the y-axis.</p><ul><li>Plot Point `V`.</li><li>Find the coordinates of Point `V`.</li></ul><LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1, "x_skip_interval": 2, "y_skip_interval": 2, "x_axis_name": "x", "y_axis_name": "y" }, "points": [ { "id": 0, "x": -2, "y": 9, "show_point": true, "highlight_point": true, "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false, "label": "U", "highlight_point_color": "#377CF6" } ], "line_segments": []}'></LineGraph >

<p>The point `H` is given on the coordinate plane. Point `I` is the reflection of Point `H` over the x-axis.</p><ul><li>Plot Point `I`.</li> <li>Find the coordinates of Point `I`.</li></ul><LineGraph data-props='{ "options": { "x_min": -5, "y_min": -5, "y_max": 5, "x_max": 5, "cell_size": 20, "x_interval": 0.5, "y_interval": 0.5, "x_skip_interval": 1, "y_skip_interval": 1, "x_axis_name": "x", "y_axis_name": "y" }, "points": [ { "id": 0, "x": 5, "y": 0.5, "show_point": true, "highlight_point": true, "show_coordinates": false, "x_coordinate_highlight": true, "y_coordinate_highlight": true, "show_x_intercept_point": false, "show_y_intercept_point": false, "show_x_intercept": false, "show_y_intercept": false, "label": "H", "highlight_point_color": "#377CF6" } ], "line_segments": []}'></LineGraph >

<p>Point A is at (`6`, `1`). Point B is at (`6`, `8`).</p> <LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "y_interval": 1 }, "points": [ { "id": 0, "x": 6, "y": 1, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "A " }, { "id": 1, "x": 6, "y": 8, "show_point": true, "highlight_point": false, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "B " } ], "line_segments": [] }'></LineGraph > <p> Find the distance between the two points.</p>

<p>Point E is at (-8, 2). Point F is at (-8, -2). Find the distance between the two points. </p> <LineGraph data-props='{ "options": { "x_min": -10, "y_min": -10, "y_max": 10, "x_max": 10, "cell_size": 20, "x_interval": 1, "x_skip_interval": 2, "y_interval": 1 , "y_skip_interval": 2}, "points": [ { "id": 0, "x": -8, "y": 2, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "E" }, { "id": 1, "x": -8, "y": -2, "show_point": true, "highlight_point": false, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "F" } ], "line_segments": [] }'></LineGraph >

<p>Point A is at (4, -1.5). Point B is at (4, 1.5). Find the distance between the two points. </p> <LineGraph data-props='{ "options": { "x_min": -5, "y_min": -5, "y_max": 5, "x_max": 5, "cell_size": 20, "x_interval": 0.5, "x_skip_interval": 1, "y_interval": 0.5 , "y_skip_interval": 1}, "points": [ { "id": 0, "x": 4, "y": -1.5, "show_point": true, "highlight_point": true, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "A" }, { "id": 1, "x": 4, "y": 1.5, "show_point": true, "highlight_point": false, "highlight_point_color": "black", "point_shape": "", "x_coordinate_highlight": false, "y_coordinate_highlight": false, "show_coordinates": true, "show_x_intercept": false, "show_y_intercept": false, "show_x_intercept_point": false, "show_y_intercept_point": false, "label": "B" } ], "line_segments": [] }'></LineGraph >