91Ó°ÊÓ

Being as specific as possible, name the rype of quadrilateral that a) has four congruent sides. b) is a parallelogram with a right angle.

What type of quadrilateral is formed when the midpoints of the sides of an isosceles trapezoid are joined in order?

If the diagonals of a parallelogram are perpendicular and congruent, what can you conclude regarding the parallelogram?

A line segment joins the midpoints of two opposite sides of a rectangle as shown. What can you conclude regarding \(\overline{M N}\) and \(M N ?\)

Assume that \(X, Y,\) and \(Z\) are midpoints of the sides of \(\triangle R S T\). If the perimeter (sum of the lengths of all three sides) of \(\triangle X Y Z\) is \(12.7,\) what is the perimeter of \(\triangle R S T ?\)

Consider any kite. a) Does it have line symmetry? If so, describe an axis of symmetry. b) Does it have point symmetry? If so, describe the point of symmetry.

Consider any parallelogram. a) Does it have line symmetry? If so, describe an axis of symmetry. b) Does it have point symmetry? If so, describe the point of symmetry.

Which type(s) of quadrilateral(s) is(are) necessarily cyclic? a) \(A\) kite b) A rectangle

Write a formal proof of each theorem or corollary. The opposite angles of a parallelogram are congruent.

Write a formal proof of each theorem or corollary. The diagonals of a parallelogram bisect each other.