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bogdanovich [222]
2 years ago
5

Help ita due in 5 mins

Mathematics
1 answer:
marin [14]2 years ago
7 0

A rigid transformation is one in which the distance between pairs of points

are preserved, and the image and preimage have the same dimensions.

  • The transformations that will produce an image that is congruent to the given figure is; <u>Number 1 and 2</u>.

Reasons:

The vertices of the trapezoid GHIZ are G(0, 0), H(-1, 2), I(3, 2), and J(2, 0)

The given transformations are;

1. GHIJ is reflected in the x-axis and the image is reflected in the y-axis

The above transformation is a double reflection.

2. GHIJ is rotated about the origin 90° counterclockwise. The resulting

image is translated up 2 units.

3. GHIJ is dilated by a scale factor of \mathbf{\frac{1}{2}}, with the center of dilation at the

origin. The resulting image is translated 2 units left.

Required:

The transformations that produce an image that is congruent to the given figure:

Solution:

Two figures are congruent if they have the same size and shape.

With the given figure being the trapezoid GHIJ, we have that a

transformation that will give an image that is congruent to the preimage

which is the trapezoid GHIJ is a rigid transformation.

Rigid transformations are;

  • Reflection
  • Rotation
  • Translation

The combinations of transformation given within the scenario that consists

of only rigid transformations are scenario 1 and scenario 2.

Therefore, the correct option is; <u>Numbers 1 and 2</u>.

Learn more about rigid transformation here:

brainly.com/question/1801406

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