Reflections on the Coordinate Plane
- Author:
- Gabriela Sanchez
- Topic:
- Reflection
Answer the following questions in your notes.
Activity 1: Reflecting Over the x - axis
Move points J and K so that they lie on the x - axis.
1) Click and drag Triangle ABC. Change the size of Triangle ABC. What do you notice bout the size and shape of Triangle A'B'C'?
2) State the coordinates of Triangle ABC and the coordinates of Triangle A'B'C'.
A (___,____) --> A' (___,____)
B (___,____) --> B' (___,____)
C (___,____) --> C' (___,____)
3) What changes in the coordinate(s) do you notice when reflecting over the x - axis?
4) Fill in the blanks.
BIG IDEA: When reflecting across the x - axis, the _________ coordinate changes ______________.
Activity 2: Reflecting Over the y - axis
Move points J and K so that they lie on the y - axis.
1) Click and drag Triangle ABC. Change the size of Triangle ABC. What do you notice bout the size and shape of Triangle A'B'C'?
2) State the coordinates of Triangle ABC and the coordinates of Triangle A'B'C'.
A (___,____) --> A' (___,____)
B (___,____) --> B' (___,____)
C (___,____) --> C' (___,____)
3) What changes in the coordinate(s) do you notice when reflecting over the y - axis?
4) Fill in the blanks.
BIG IDEA: When reflecting across the y - axis, the _________ coordinate changes ______________.
Activity 3: Reflecting Over the Line y =x
Move Points J to the coordinates (1,1). Move Point K to the coordinates (3,3).
1) Click and drag Triangle ABC. Change the size of Triangle ABC. What do you notice bout the size and shape of Triangle A'B'C'?
2) State the coordinates of Triangle ABC and the coordinates of Triangle A'B'C'.
A (___,____) --> A' (___,____)
B (___,____) --> B' (___,____)
C (___,____) --> C' (___,____)
3) What changes in the coordinate(s) do you notice when reflecting over the line y = x?
4) Fill in the blanks.
BIG IDEA: When reflecting across the y = x, the _________ & ____________ coordinate change ___________________.