Shape 1 and shape 2 are plotted on a coordinate plane. Which rigid transformation can you perform on shape 2 to show that shape 2 is congruent to shape 1?

a 45° rotation clockwise about the origin

a translation 6 units to the left and 8 units up

a reflection across the x-axis

a translation 3 units to the left and 6 units up

Shape 1 and shape 2 are plotted on a coordinate plane Which rigid transformation can you perform on shape 2 to show that shape 2 is congruent to shape 1 a 45 ro class=

Respuesta :

SJ2006
According to given information, a translation 6 units to the left and 8 units up for shape 2 would show that it is congruent to shape 1.

So, option B is your answer.

Hope this helps!

Two translation rigid transformations are required to transform shape 1 to shape 2

The rigid transformation that can be performed on shape 2 to show that shape 2 is congruent to shape 1 is the option

  • A transformation of 6 units to the left and 8

Reasons:

The coordinates of the three points on shape 1 are; (2, 12), (4, 14), (6, 14)

The coordinates of the three points shape 2 are; (8, 4), (10, 6), (12, 6)

The difference in the coordinates are;

Difference in x-coordinate are;

Point 1 = 8 - 2 = 6

Point 2 = 10 - 6 = 6

Point 3 = 12 - 6 = 6

Therefore;

To get the x-value of shape 1 from the shape 2, the transform that is to be performed on shape 2 is a transformation of -6 units or 6 units left

Difference in y-coordinate are;

Point 1 = 4 - 12 = -8

Point 2 = 6 - 14 = -8

Point 3 = 6 - 14 = -8

Therefore;

To get the y-value of shape 1 from the shape 2, the transform that is to be performed on shape 2 is a transformation of 8 units or 8 units up

The composite transformation is therefore;

  • A transformation of 6 units to the left and 8 units up

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