Answer:
The total number of ways to answer = 32
Step-by-step explanation:
A quiz has five questions that can be answered as true or false.
Each question can be answered in two ways.
Lets take each question one by one.
The first question can be answered as true or false that is two ways.
Similarly each question answered in 2 ways.
To get the total number of ways, we have to multiply the number of ways for each question.
Hence the total number of questions =
= 32
Part a: Reflecting a point across the x-axis, changes the sign of the y-coordinate.
Part b: Reflecting a point across the y-axis, changes the sign of the x-coordinate.
Part c: Reflecting a point across both the axes, changes the signs of both the coordinates.
Explanation:
Part a: Reflecting a point across the x-axis
The reflection is a transformation of a figure which represents a flip.
The rule for a reflection over the x -axis is given by
Hence, this represents the change of sign of the y-coordinate.
Thus, Reflecting a point across the x-axis, changes the sign of the y-coordinate.
Part b: Reflecting a point across the y-axis
The rule for a reflection over the y -axis is given by
Hence, this represents the change of sign of the x-coordinate.
Thus, Reflecting a point across the y-axis, changes the sign of the x-coordinate.
Part c: Reflecting a point across both the axes
The rule for a reflection across both the axes is given by
Hence, this represents the changes the signs of both the coordinates.
Thus, Reflecting a point across both the axes, changes the signs of both the coordinates.
