Problem preview
G-CO.5 Warmup M1-040-A08-V01

Draw transformed figures and specify transformation sequences mapping one figure to another.

Apply a two-step transformation sequence in order

Problem

Apply this \(\text{two}\text{-}\text{step}\) transformation sequence to the point \(2,~4\): translate by \(<3,-1>\), then reflect over the \(x\text{-}\text{axis}\).

Big Picture

What this problem is really about

A transformation sequence is a pipeline: the output of one rule becomes the input of the next. Record the translated point as an explicit intermediate result before applying the axis reflection, and keep the two stages separate so the reflection acts on the new coordinates rather than the original point.

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Four variants of this problem type
Curriculum context
Course
Math I
Standard
G-CO.5
Category
Geometry
Domain
Congruence
Objective
Draw transformed figures and specify transformation sequences mapping one figure to another.
Problem type
Apply a two-step transformation sequence in order