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When rectangle \(ABCD\) is reflected across line \(EF\), the image is \(DCBA\). How do you know that segment \(AB\) is congruent to segment \(DC\)?
A rectangle has 2 pairs of parallel sides.
Any 2 sides of a rectangle are congruent.
Congruent parts of congruent figures are corresponding.
Corresponding parts of congruent figures are congruent.
Triangle \(FGH\) is the image of isosceles triangle \(FEH\) after a reflection across line \(HF\). Select all the statements that are a result of corresponding parts of congruent triangles being congruent.
\(\overline{FE} \cong \overline{HE}\)
\(EFGH\) is a rectangle.
\(EFGH\) has 4 congruent sides.
Diagonal \(FH\) bisects angles \(EFG\) and \(EHG\).
Diagonal \(FH\) is perpendicular to side \(FE\).
Angle \(FEH\) is congruent to angle \(FGH\).
Reflect right triangle \(ABC\) across line \(BC\). Classify triangle \(ACA’\) according to its side lengths. Explain how you know.
6 small quadrilaterals: M A D J, D K L J, A B C D, B H G F, B F E C, and C O N I. Vertical line segment A K passes through point D. Horizontal line segment D E passes through points C and I. Diagonal line segment A F passes through Point B. Vertical line segment G E passes through point F.
Triangle \(ABC\) is congruent to triangle \(A’B’C’\). Describe a sequence of rigid motions that takes \(A\) to \(A’\), \(B\) to \(B’\), and \(C\) to \(C’\).