Question

Which best represents the transformation for the coordinates of the vertices of the given pairs of triangles?

(2,4), (2,0), (-3,0) and (0,7), (0,3), (-5,3)
a. none
b. reflection
c. rotation
d. translation

Answer 1

The transformation from the first set of triangle coordinates to the second is a translation, with each point moving 2 units left and 3 units upward.

Hence, the transformation is a translation, option d.

Step-by-step explanation:

To determine which transformation best represents the change from the coordinates of the first triangle (2,4), (2,0), (-3,0) to the coordinates of the second triangle (0,7), (0,3), (-5,3), we need to compare the differences between the corresponding vertices of the two triangles.

Looking at the vertices, we can calculate the transformation:

• The first vertex moves from (2,4) to (0,7), which is 2 units left and 3 units up.
• The second vertex moves from (2,0) to (0,3), which is 2 units left and 3 units up.
• The third vertex moves from (-3,0) to (-5,3), which is 2 units left and 3 units up.

All the points are shifted the same distance in the same direction: 2 units to the left and 3 units upward in the coordinate system.