Rigid Transformations
Table of Contents
- Reflections on the Coordinate Plane
- Reflections on the Coordinate Plane
- Rotations on the Coordinate Plane
- Rotations on the Coordinate Plane
- Translations on the Coordinate Plane
- Translations on the Coordinate Plane
Reflections on the Coordinate Plane
[b][size=200][color=#ff0000]Answer the following questions in your notes.[/color][/size][/b]
[b][u][size=150][size=200][color=#0000ff]Activity 1: Reflecting Over the x - axis[/color][/size][/size][/u][/b]
Move points J and K so that they lie on the x - axis. [br][br]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'?[br][br]2) State the coordinates of Triangle ABC and the coordinates of Triangle A'B'C'. [br] A (___,____) --> A' (___,____)[br] B (___,____) --> B' (___,____)[br] C (___,____) --> C' (___,____)[br]3) What changes in the coordinate(s) do you notice when reflecting over the x - axis?[br][br]4) Fill in the blanks. [br][b][u]BIG IDEA:[/u] When reflecting across the x - axis, the _________ coordinate changes ______________. [/b]
[b][u][size=150][size=200][color=#0000ff]Activity 2: Reflecting Over the y - axis[/color][/size][/size][/u][/b]
Move points J and K so that they lie on the y - axis. [br][br]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'?[br][br]2) State the coordinates of Triangle ABC and the coordinates of Triangle A'B'C'. [br] A (___,____) --> A' (___,____)[br] B (___,____) --> B' (___,____)[br] C (___,____) --> C' (___,____)[br]3) What changes in the coordinate(s) do you notice when reflecting over the y - axis?[br][br]4) Fill in the blanks. [br][b]BIG IDEA: When reflecting across the y - axis, the _________ coordinate changes ______________. [/b][br][br]
[b][u][size=150][size=200][color=#0000ff]Activity 3: Reflecting Over the Line y =x[/color][/size][/size][/u][/b]
Move Points J to the coordinates (1,1). Move Point K to the coordinates (3,3). [br][br]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'?[br][br]2) State the coordinates of Triangle ABC and the coordinates of Triangle A'B'C'. [br] A (___,____) --> A' (___,____)[br] B (___,____) --> B' (___,____)[br] C (___,____) --> C' (___,____)[br]3) What changes in the coordinate(s) do you notice when reflecting over the line y = x?[br][br]4) Fill in the blanks. [br][br][b]BIG IDEA: When reflecting across the y = x, the _________ & ____________ coordinate change ___________________. [/b]
Rotations on the Coordinate Plane
[size=200][color=#ff0000][b]Answer the following questions in your notes.[br][/b][/color][/size]
[b][size=150]Click and drag the scale to change the degree of rotation.[/size][/b][br][br]1) Point O is the point of rotation. Its coordinates are (0,0). What is the name for the point at (0,0)?[br][br]2) When the degree of rotation is 0 or 360, what do you notice about the position of Triangle ABC and Triangle A'B'C'?[br][br]3) Click and drag the degree of rotation to 180 degrees. Change the size of Triangle ABC. What do you notice about the size and shape of Triangle A'B'C'?[br][br]4) State the coordinates of Triangle ABC and the coordinates of Triangle A'B'C'. [br] A (___,____) --> A' (___,____)[br] B (___,____) --> B' (___,____)[br] C (___,____) --> C' (___,____)[br][br]5) What changes in the coordinate(s) do you notice when you rotate 180 degrees about the origin?[br][br]4) Fill in the blanks. [br][b][u]BIG IDEA:[/u] When rotating 180 degrees about the origin, the _________ and _________ coordinate change ______________. [/b]
Translations on the Coordinate Plane
[b][size=200][color=#ff0000]Answer the following questions in your notes.[/color][/size][/b]
[b][size=150]Click and drag the Points J and K to change the length and direction of vector.[br][br][/size][/b]1) Click and drag the Points J and K. Change the length of the vector. What do you notice happens between Triangle ABC and Triangle A'B'C'?[br][br]2) Click on K and change the direction of the vector. What do you notice happens between Triangle ABC and Triangle A'B'C'?[br][br]3) Change the size of Triangle ABC. What do you notice about the size and shape of Triangle A'B'C'?[br][br]4) Record the slope of the vector.[br] Slope is _____________. [br][br]5) State the coordinates of Triangle ABC and the coordinates of Triangle A'B'C'. [br] A (___,____) --> A' (___,____)[br] B (___,____) --> B' (___,____)[br] C (___,____) --> C' (___,____)[br][br]6) What do you notice between the slope of the vector and how the coordinates of Triangle ABC and the coordinates of Triangle A'B'C' relate to each other?