Question

Find Reflection Translation Dilation

A .Reflection over X Axis B (-9, -2)
B. Reflection over Y Axis B (-9, -2)
C. Translation B (-9,-2) Move 3 units to left, Move 14 units up
D. Dilation B (-9,-2) Multiply by 5

Answer 1

The results are B'(-9, 2) for reflection over the X-axis, B'(9, -2) for reflection over the Y-axis, B''(-12, 12) for the translation, and B'''(-45, -10) for the dilation with a scale factor of 5.

Step-by-step explanation:

Reflection, translation, and dilation are geometric transformations applied to figures on the coordinate plane. To find their results, specific rules are applied:

• Reflection over the X-axis: The x-coordinate remains the same, while the y-coordinate is multiplied by -1. For point B(-9, -2), reflecting over the X-axis gives B'(-9, 2).
• Reflection over the Y-axis: The y-coordinate remains the same, while the x-coordinate is multiplied by -1. So, for B(-9, -2), reflecting over the Y-axis gives B'(9, -2).
• Translation: Moving a point involves adding or subtracting the translation amounts to the respective coordinates. For B(-9, -2), moving 3 units left and 14 units up results in B''(-12, 12).
• Dilation: Multiplying both coordinates by the scale factor. For B(-9, -2) and a scale factor of 5, the dilated point, B'''(-45, -10).