Question

directions: reflect each point over the given line. type the answer to each question in the \answers\ column. make sure to use
if you answer correctly, the box will turn green and part of the mystery puzzle will appear. if you answer incorrectly, the box will

	questions	answers		questions	answers
		(green)			(green)

Explanation:

Question 1: Reflect \((-1, -6)\) over the \(y\)-axis

Step 1: Recall the reflection rule over the \(y\)-axis

The rule for reflecting a point \((x, y)\) over the \(y\)-axis is \((x, y) \to (-x, y)\).

Step 2: Apply the rule to the point \((-1, -6)\)

For the point \((-1, -6)\), \(x = -1\) and \(y = -6\). Using the rule, we change the sign of \(x\):
\(x\)-coordinate becomes \(-(-1) = 1\), and the \(y\)-coordinate remains \(-6\). So the reflected point is \((1, -6)\).

Question 9: Reflect \((-3, 1)\) over the line \(y = x\)

Step 1: Recall the reflection rule over the line \(y = x\)

The rule for reflecting a point \((x, y)\) over the line \(y = x\) is \((x, y) \to (y, x)\).

Step 2: Apply the rule to the point \((-3, 1)\)

For the point \((-3, 1)\), \(x = -3\) and \(y = 1\). Using the rule, we swap the \(x\) and \(y\) coordinates:
The new \(x\)-coordinate is \(1\) (the original \(y\)-coordinate) and the new \(y\)-coordinate is \(-3\) (the original \(x\)-coordinate). So the reflected point is \((1, -3)\).

Answer:

s:
Question 1: \((1, -6)\)
Question 9: \((1, -3)\)