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These shapes have four sides and 360° of interior angle goodness.

# Properties of Rectangles

The above diagram shows a rectangle creased at $$EF$$ such that that point $$C$$ aligns with point $$A.$$ If $$\angle BAE=38^\circ,$$ what is $$\angle EFD$$ in degrees?

Note: The above figure is not drawn to scale.

The figure above depicts a rectangle with $$\overline{AB}=5$$ and $$\overline{AD}=13.$$ Find $$x+y.$$

$$ABCD$$ is a square. On line segment $$AB$$, $$E$$ is a point such that $$\angle ADE = 37 ^\circ$$. What is the measure of $$\angle EDC$$ (in degrees)?

In the diagram above, $$\square BCDE$$ is a rectangle with horizontal side length $$30$$ cm and vertical side length $$6$$ cm. Line segments $$\overline{BD}$$ and $$\overline{CE}$$ are diagonals of $$\square BCDE,$$ which intersect at point $$O$$. Point $$M$$ is the bisector of $$\overline{BE},$$ and the extension of lines $$\overline{DM}$$ and $$\overline{CB}$$ intersect at point $$A.$$ If point $$F$$ is the intersection of $$\overline{CE}$$ and $$\overline{AD},$$ what is the area of $$\triangle DOF?$$

Note: The above figure is not drawn to scale.

The diagram above shows a circle centered at $$O,$$ with rectangle $$ODCE$$ inscribed in the quarter circle $$AOB.$$ If the radius of the circle is $$14$$, what is the length of line segment $$\overline{DE}?$$

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