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MATHEMATICS OBJECTIVE
Students will be able to:
Use a sequence of transformations to justify the congruence of figures.
Understand that reflections, rotations, and translations are actions that produce congruent geometric figures.
ESSENTIAL UNDERSTANDING
When a sequence of transformations (translations, reflections, and rotations) maps one figure onto another figure with the same shape and size, the figures are congruent.
I can use determine if figures are congruent after one or more transformations.
UNDERSTANDING CONGRUENT FIGURES
Two-dimensional figures are congruent if there is a sequence of translations,
reflections, and rotations that maps one figure onto the other.
DIAGRAM: TWO CONGRUENT RECTANGLES
The rectangles are congruent. They have the same size and shape.
The orange rectangle is labeled A (top left), B (top right), C (bottom right),
and D (bottom left). The blue rectangle is labeled E (top left), F (top right),
G (bottom right), and H (bottom left).
When comparing two-dimensional figures, the order of the corresponding
points in the name of each figure must be the same. Quadrilateral ABCD
is congruent to quadrilateral EFGH.
ABCD ≅ EFGH
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