Problem preview

G-CO.2 Warmup M1-037-A08-V01

Represent transformations as functions on points and compare distance/angle-preserving transformations with non-rigid transformations.

Apply a transformation rule to every vertex of a polygon

Problem

Apply \((x,y)~\to~(x~+~2,~y~-~3)\) to every vertex of the displayed polygon. Give the image coordinates in \(V_{0}\), \(V_{1}\), \(V_{2}\) order.

Source polygon: V0=(0,0), V1=(4,0), and V2=(1,2), in that order.

Big Picture

What this problem is really about

A polygon transformation is just the same point function applied repeatedly, with labels and order preserved. We’ll handle each vertex independently, keep the horizontal and vertical changes attached to the correct coordinates, and then reconnect the image points in the original vertex order as a built-in completeness check.

Answer choices

Choose your path.

Preview only

(2, -3); (6, -3); (3, -1)

(2, -3); (4, 0); (3, -1)

(2, 2); (6, 2); (3, 4)

(-2, 3); (2, 3); (-1, 5)

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Curriculum context

Course: Math I
Standard: G-CO.2
Category: Geometry
Domain: Congruence
Objective: Represent transformations as functions on points and compare distance/angle-preserving transformations with non-rigid transformations.
Problem type: Apply a transformation rule to every vertex of a polygon