![Picture](/uploads/3/2/1/7/32177213/2255073.png)
Today we are introducing our lesson on translations. A translation is a type of transformation.
Words to know:
A transformation is the movement of all points of a figure.
A translation is a "slide". It is a transformation in which each point is moved in the same direction and same distance.
We begin the investigation by moving the vertices of a triangle (ABC) down 2 units and left 3 units. We label the new points as PRIME points (notated A', B', and C'). We then measure the lengths of the corresponding sides (AB would correspond with A'B') of the triangles. We also measure the angles (angle A would correspond with angle A'). We conclude that this must be a translation by definition since we moved all points the same number of units and in the same direction. After measure the corresponding sides and angles, we can conclude that in a translation, the angles and side lengths remain unchanged, therefore the original image and the translated image are congruent.
Words to know:
A transformation is the movement of all points of a figure.
A translation is a "slide". It is a transformation in which each point is moved in the same direction and same distance.
We begin the investigation by moving the vertices of a triangle (ABC) down 2 units and left 3 units. We label the new points as PRIME points (notated A', B', and C'). We then measure the lengths of the corresponding sides (AB would correspond with A'B') of the triangles. We also measure the angles (angle A would correspond with angle A'). We conclude that this must be a translation by definition since we moved all points the same number of units and in the same direction. After measure the corresponding sides and angles, we can conclude that in a translation, the angles and side lengths remain unchanged, therefore the original image and the translated image are congruent.
Need a refresher? Check out this video. | |