Reflect Points On A Coordinate Plane Quiz

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#1 of 8: Mild

Reflect points on a coordinate plane

The point `D` is given on the coordinate plane . Point `E` is the reflection of Point `D` over the y-axis.<ul><li>Plot Point `E`.</li> <li>Find the coordinates of Point `E`.</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": 6, "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": "D", "highlight_point_color": "#377CF6" } ], "line_segments": []}'></LineGraph >

#2 of 8: Mild

Reflect points on a coordinate plane

The point `Z` is given on the coordinate plane. Point `A` is the reflection of Point `Z` over the y-axis. <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 >

#3 of 8: Medium

Reflect points on a coordinate plane

The point `P` is given on the coordinate plane. Point `Q` is the reflection of Point `P` over the y-axis.<ul><li>Plot Point `Q`.</li> <li>Find the coordinates of Point `Q`.</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": -3, "y": -6, "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": "P", "highlight_point_color": "#377CF6" } ], "line_segments": []}'></LineGraph >

#4 of 8: Medium

Reflect points on a coordinate plane

The point `R` is given on the coordinate plane. Point `S` is the reflection of Point `R` over the y-axis.<ul><li>Plot Point `S`.</li> <li>Find the coordinates of Point `S`.</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": -5, "y": 8, "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": "R", "highlight_point_color": "#377CF6" } ], "line_segments": []}'></LineGraph >

#5 of 8: Medium

Reflect points on a coordinate plane

The point `H` is given on the coordinate plane. Point `I` is the reflection of Point `H` over the x-axis.<ul><li>Plot Point `I`.</li> <li>Find the coordinates of Point `I`.</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": 6, "y": -3, "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 >

#6 of 8: Medium

Reflect points on a coordinate plane

The point `A` is given on the coordinate plane. Point `L` is the reflection of Point `A` over the x-axis.<ul><li>Plot Point `L`.</li> <li>Find the coordinates of Point `L`.</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": -9, "y": -1, "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": "A", "highlight_point_color": "#377CF6" } ], "line_segments": []}'></LineGraph >

#7 of 8: Spicy

Reflect points on a coordinate plane

The point `V` is given on the coordinate plane. Point `W` is the reflection of Point `V` over the x-axis.<ul><li>Plot Point `W`.</li> <li>Find the coordinates of Point `W`.</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": 3, "y": -1.5, "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": "V", "highlight_point_color": "#377CF6" } ], "line_segments": []}'></LineGraph >

#8 of 8: Spicy

Reflect points on a coordinate plane

The point `S` is given on the coordinate plane.Point `T` is the reflection of Point `S` over the x-axis.<ul><li>Plot Point `T`.</li> <li>Find the coordinates of Point `T`.</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": 4, "y": -2.5, "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": "S", "highlight_point_color": "#377CF6" } ], "line_segments": []}'></LineGraph >

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In geometry, we have four different types of basic transformations. These are reflection, rotation, translation, and resizing. A mirror image of a shape is known as a reflection. It is also known as a flip. The Y-coordinates remain the same but the X-coordinate transforms into the opposite sign when a point is reflected across the X-axis. This is known as reflection over Y-axis. Similarly, we also have reflection over the X-axis.

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