Which sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH?

A coordinate plane with three trapezoids. Trapezoid A B C D has coordinates A 1 comma 1, B 2 comma 3, C 4 comma 3, and D 5 comma 1. Trapezoid E F G H has coordinates E negative 5 comma negative 1, F negative 4 comma negative 3, G negative 2 comma negative 3, and H negative 1 comma negative 1.

Rotation of 180° about the origin, translation 6 units left

Reflection across the y-axis, translation 6 units left

Reflection across the x-axis, translation 6 units left

Translation 6 units left, reflection across the y-axis

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

What is reflection?

A reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to be a reflection of the other figure, then every point in a figure is at equidistant from each corresponding point in another figure.

According to the question

Quadrilateral ABCD

A(1,1) , B(2,3) , C(4,3) , D(5,1)

Quadrilateral EFGH

E(-5,-1) , F(-4,-3) , G(-2,-3) , H(-1,-1)

As we can that

Quadrilateral ABCD and EFGH have opposite sign coordinates

i.e Reflection across the x-axis,

and difference between x axis of Quadrilateral ABCD and EFGH is 6

|-5 - 1 | = 6 ( as distance is always +ve)

therefore,

translation 6 units left

Hence, the sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH is Reflection across the x-axis, translation 6 units left

To know more about Reflection and translation here:

https://brainly.com/question/15577335

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