A quadrilateral PQRS is translated to the left by 4 units to obtain another quadrilateral P᾿Q᾿R᾿S᾿

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Translation is the movement of a point either up, down, right or left. Translation is a type of rigid transformation. Rigid transformation is a transformation in which both the image and pre-image have the same shape and size. types of rigid transformation are rotation, reflection and translation.

Quadrilateral PQRS is translated to the left by 4 units to obtain another quadrilateral P᾿Q᾿R᾿S᾿. Since translation is a rigid transformation, the shape and size of PQRS is the same as that of P'Q'R'S. Hence the length of PQ is equal to the length of P'Q'.

ap8997154 ap8997154 · Answer 2 · 2022-02-04T07:01:24+01:00

To solve the problem we must know about translation.

What is translation?

A translation is a process of moving a graph or point from its initial location to another location without making any changes in its shape or size, we can tell whether the translation is done towards the right, left, up, or down by just looking at the operation that takes place within the parentheses of a function or a completely separate function.

The correct option is B, the length of P'Q' is equal to PQ.

Given to us

A quadrilateral PQRS is translated to the left by 4 units to obtain another quadrilateral P᾿Q᾿R᾿S᾿

As we know translation does not cause any change in the shape and the size of the quadrilateral, therefore,

Area of PQRS = Area of P'Q'R'S'
PQ = P'Q'
QR = Q'R'
RS = R'S'
PS = P'S'

Hence, the correct option is B, the length of P'Q' is equal to PQ.

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