In this activity, explore the meaning of [b][u][i][size=150][color=#0000ff]translations[/color][/size][/i][/u][/b].[br][br]Select the translate by vector button [icon]/images/ggb/toolbar/mode_vectorfrompoint.png[/icon], select the blue triangle, then select D and E.[br][br]Change to the arrow tool and drag point E around.
In this activity, explore the meaning of [b][u][i][size=150][color=#0000ff]Reflection[/color][/size][/i][/u][/b].[br][br]Select the reflection button [icon]/images/ggb/toolbar/mode_mirroratline.png[/icon], select the blue triangle, then select line EF. [br][br]Drag points F or E to change the angle of the line of reflection (mirror) and observe the results.[br][br]Move the line along the x-axis and observe how the corresponding coordinates are related. [br][br]Put the line along the y-axis and observe how the corresponding coordinates are related.
Why is this process called 'reflection'?
The line acts as a mirror and 'reflects' the image on the other side
In this activity, explore the meaning of [b][u][i][size=150][color=#0000ff]Rotation[/color][/size][/i][/u][/b].[br][br]Select the rotate by angle button [icon]/images/ggb/toolbar/mode_anglefixed.png[/icon].[br][br]Select the blue triangle and then point D; rotate counterclockwise by 90[math]\circ[/math]. [br][br]Translate the new triangle (A'B'C') in the same manner.[br][br]Translate the new triangle (A''B''C'') in the same manner.[br][br]
Follow point A as it is translated to A' and then to A" and finally to A"'.[br][br]Does this relationship hold for point B and the translated points?[br][br]Does this relationship hold for point C and the translated points?
A( -3, 1) A' (-1, -3) A" (3, -1) A"' (1, 3)[br][br]Yes, this relationship holds.[br]
[br]In this activity, explore the meaning of [b][u][i][size=150][color=#0000ff]Dilation[/color][/size][/i][/u][/b].[br][br]Currently, triangle ABC is dilated by a factor of 1.[br][br]Use the slider to change the scale factor and answer the below questions.[br]
How is the shape changed when the dilation factor is 1?
The shapes are congruent.
How is the shape changed when the dilation factor is greater than 1?
The new shape is bigger by that scale factor.
How is the shape changed when the dilation factor is smaller than 1?
The new shape is decreased by that scale factor.