All kinds of geometry objects can be reflected. In the following problems, reflect the object over the vertical line.
2) Point 3) Segment 4) Triangle
2) Point 3) Segment 4) Triangle
5) Quadrilateral 6) Line
In the following problems, reflect the object over the horizontal line.
7) Point 8) Segment 9) Triangle
7) Point 8) Segment 9) Triangle
10) Quadrilateral 11) Line
12) Given the diagram, reflect point \(\overline{MN}\) across the \(y = x\) line.
14) Use coordinate rules to find the ordered pairs of the following points reflected across the \(x\)-axis
a. \((3, 4)\) b. \((-2, 5)\) c. \((-6, 0)\) d. \((0, -4)\) e. \((-4.1, -2.1)\)
15) Use coordinate rules to find the ordered pairs of the following points reflected across the \(y\)-axis
a. \((-4, -6)\) b. \((5, 0)\) c. \((7, 9)\) d. \((0, 3)\) e. \((-7.1, 3.3)\)
16) Use coordinate rules to find the ordered pairs of the following points reflected across the \(y = x\) line.
a. \((4, -5)\) b. \((-2, 5)\) c. \((9, 0)\) d. \((5, 5)\) e. \((0, -5.9)\)
17) Use coordinate rules to find the ordered pairs of the following points reflected across the \(y = -x\) line.
a. \((-7, 1)\) b. \((0, -4)\) c. \((-3, 3)\) d. \((-6, -2)\) e. \((9.2, -6.7)\)
18) Given \(\overline{DE}\) with \(D(3, -2)\) and \(E(-5, -9)\). Find the coordinates of \(D’\) and \(E’\) after a reflection across the \(y = 2\) line.
19) Given \(\overline{GH}\) with \(G(-4, -2)\) and \(H(7, 9)\). Find the coordinates of \(G’\) and \(H’\) after a reflection across the \(x = -3\) line.
20) Plot C′S′O′ after a reflection in \(y = -x\). Move the points to the correct location.
a. \((3, 4)\) b. \((-2, 5)\) c. \((-6, 0)\) d. \((0, -4)\) e. \((-4.1, -2.1)\)
15) Use coordinate rules to find the ordered pairs of the following points reflected across the \(y\)-axis
a. \((-4, -6)\) b. \((5, 0)\) c. \((7, 9)\) d. \((0, 3)\) e. \((-7.1, 3.3)\)
16) Use coordinate rules to find the ordered pairs of the following points reflected across the \(y = x\) line.
a. \((4, -5)\) b. \((-2, 5)\) c. \((9, 0)\) d. \((5, 5)\) e. \((0, -5.9)\)
17) Use coordinate rules to find the ordered pairs of the following points reflected across the \(y = -x\) line.
a. \((-7, 1)\) b. \((0, -4)\) c. \((-3, 3)\) d. \((-6, -2)\) e. \((9.2, -6.7)\)
18) Given \(\overline{DE}\) with \(D(3, -2)\) and \(E(-5, -9)\). Find the coordinates of \(D’\) and \(E’\) after a reflection across the \(y = 2\) line.
19) Given \(\overline{GH}\) with \(G(-4, -2)\) and \(H(7, 9)\). Find the coordinates of \(G’\) and \(H’\) after a reflection across the \(x = -3\) line.
20) Plot C′S′O′ after a reflection in \(y = -x\). Move the points to the correct location.
21) Tina would like to hit the ball “\(B\)” into the hole “\(H\)” by bouncing it off the side wall (line \(s\)). She imagines the reflection of the table across line s and aims the ball toward the reflection of the hole \(H’\). Plot the path of \(B\) as it moves toward \(H’\), but bouncing off side s and into the hole \(H\).
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24) Create a line. Reflect the figure using your line.
Review
25) Write the equation of a line that is parallel to \(y = \dfrac{6}{7}x - 19\) through \((-5, 11)\).
26) Write the equation of a line that is perpendicular to \(y = \dfrac{6}{7}x - 19\) through \((10, -2)\).
27) Write an equation of a line perpendicular to the line through the points \((4, 2)\) and \((-7, -13)\).