Given ABC at A (-3, 2), B (-1, 3), C (-4, 5), and if the is first reflected over the y-axis, and then over the x-axis, find the coordinate ofA''.
Question
Given ABC at
A (-3, 2), B (-1, 3), C (-4, 5),
and if the is first reflected over the y-axis, and then over the x-axis, find the coordinate of A''.
Solution
Step 1: Reflect over the y-axis
When a point is reflected over the y-axis, the x-coordinate changes its sign while the y-coordinate remains the same.
So, the reflection of point A(-3, 2) over the y-axis will be A' (3, 2).
Step 2: Reflect over the x-axis
When a point is reflected over the x-axis, the y-coordinate changes its sign while the x-coordinate remains the same.
So, the reflection of point A'(3, 2) over the x-axis will be A'' (3, -2).
Therefore, the coordinates of A'' after the point A is first reflected over the y-axis, and then over the x-axis, are (3, -2).
Similar Questions
If A has coordinates (2, -4) and is reflected over the y-axis, find the coordinates ofA'.
Triangle ABC has vertices of A(1, 2), B(2, 4), and C(2, 1). Which of the following describes the translation if B' has coordinates (-2, 3)?
Given A(3, 2), B(-4, 1), and C(6, -5) translate the 4 unit to the left and 1 unit up followed by a dilation of 3. What are the new coordinates of B''?
Ques 3 Find the coordinates of the point which is equidistant from the vertices of a ABC, where A (3, -1), B (-1, -6) and C (4, -1).
Given ΔABC with A(1, 1), B(7, -2), and C(1, -2) and if the is rotated 90° about the (-2, -4), the new location of the B'
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.