Answer:
C) A and D
Step-by-step explanation:
The longest sides of each of the figures are ...
A. 4
B. √(4²+2²) = √20
C. √(4²+1²) = √17
D. 4
The remaining sides of figures A and D are also the same length, so only figures A and D are congruent.
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Additional comment
When the sides are not aligned with grid lines, their length can be found using the distance formula or the Pythagorean theorem. It will be the root of the sum of the squares of the rise and run. The various figures have sides with ...
rise, run = (2, 1) or (2, 3) or (2, 4) or (2, 2) or (3, 2) or (1, 4)
Respectively, the lengths of these sides are ...
√5, √13, √20, √8, √13, √17
