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Congruence via Rigid Motions Practice Test
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Q1
Are the two figures congruent? Which rigid motion(s) justify your answer, based only on the diagram?
Diagram description: A coordinate plane is shown with two polygons.
- The coordinate grid has uniform units with labeled axes.
- Figure 1 is triangle $\triangle A B C$ with points $A(-4,1)$, $B(-2,3)$, and $C(-1,0)$.
- Figure 2 is triangle $\triangle D E F$ with points $D(4,1)$, $E(2,3)$, and $F(1,0)$.
- No side lengths or angle measures are marked beyond what can be inferred from the coordinates. Diagram not drawn to scale beyond the uniform grid.
Are the two figures congruent? Which rigid motion(s) justify your answer, based only on the diagram?
Diagram description: A coordinate plane is shown with two polygons.
- The coordinate grid has uniform units with labeled axes.
- Figure 1 is triangle $\triangle A B C$ with points $A(-4,1)$, $B(-2,3)$, and $C(-1,0)$.
- Figure 2 is triangle $\triangle D E F$ with points $D(4,1)$, $E(2,3)$, and $F(1,0)$.
- No side lengths or angle measures are marked beyond what can be inferred from the coordinates. Diagram not drawn to scale beyond the uniform grid.