Line segment AB is perpendicular to line CD. If angle AFE measures 48 degrees, what is the measure of angle DFE?

Angle DFE measures 42 degrees.
True or False:
(a) If two parallelograms have the same side lengths, then they have the same perimeter.
(b) If two parallelograms have the same side lengths, then they have the same area.
(a) True
(b) False
True or False: There exists a triangle that is both equilateral and right.
False
What is the sum of the measures of the interior angles of a quadrilateral?
360o
State the parallel postulate.
If parallel lines are cut by a transversal, then corresponding angles are congruent.
Find the area of the triangle below.

48 square units
A right triangle has a leg of length x = 24 units and a hypotenuse of length y = 25 units. Find the length, z, of its other leg.
z = 7 units.
True or false: The intersection of the set of all rectangles and the set of all rhombi is the set of all squares.
True
In the following picture, lines AB and CD are parallel. If angle ACD measures 41 degrees, and angle PDQ measures 74 degrees, find the measure of angle ARB.

ARB measures 65 degrees.
State the area formulae for triangles, squares, rectangles, parallelograms, and trapezoids. Indicate what each symbol in each formula means.
(Pretend the correct formulae are here lol)
Is the triangle with vertices at (1, 4), (7, 12), and (13, 4) equilateral, isosceles, or scalene?
Isosceles
Classify the quadrilateral with vertices at (5, 10), (5, 12), (10, 12), and (13, 10).
It's a trapezoid!