Question

A graphic designer wants to translate rectangle DEFG using T–1, 2(x, y). The pre-image has coordinates D(–1, 3),
E(4, 3), F(4, 1), and G(–1, 1). What is the image of DEFG?
PLEASE ANSWER

Answer 1

Answer:The answer is B !

Step-by-step explanation:

Answer 2

A translation is a rigid translation that changes the location of a figure without a net reflection or rotation

The option that gives the correct image of the preimage DEFG, which is D'(-2, 5), E'(3, 5), F'(3, 3), G'(-2, 3), is; The second diagram

Please find attached a diagram showing the preimage and the image

The reason why the selected option is correct is given as follows

The given translation is T₍₋₁, ₂₎(x, y)

Coordinates of the pre-image are D(-1, 3), E(4, 3), F(4, 1), and G(-1, 1)

Required:

To find the image formed following the translation

Solution:

To translate a preimage given the measure of the translation of the x and y-values, in the form T₍₋₁, ₂₎(x, y), '-1' is added to the x-values, and '2' is added to the y-values, as follows

• D(-1, 3) $\underset {\longrightarrow } {T_{-1, 2}}$ D'(-1 - 1, 3 + 2) = D'(-2, 5)

• E(4, 3) $\underset {\longrightarrow } {T_{-1, 2}}$ E'(4 - 1, 3 + 2) = E'3, 5)

• F(4, 1) $\underset {\longrightarrow } {T_{-1, 2}}$ F'(4 - 1, 1 + 2) = F'(3, 3)

• G(-1, 1) $\underset {\longrightarrow } {T_{-1, 2}}$ G'(-1 - 1, 1 + 2) = G'(-2, 3)

The coordinates of the vertices of the image are D'(-2, 5), E'(3, 5), F'(3, 3), and G'(-2, 3)

The image of DEFG is the second diagram, D'E'F'G'.

Please find attached the diagram of the image of the preimage DEFG constructed with dashes

Learn more about translation transformation here:

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