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Magazine Problem 6
If the diagonals of a rhombus are congruent, what can you conclude about the rhombus?
Problem 15
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.
Problem 16
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.
Problem 29
In Exercises 29 to \(31,\) explain why each statement is true. All angles of a rectangle are right angles.
Problem 35
In concave kite \(A B C D,\) there is an interior angle at vertex \(B\) that is a reflex angle. Given that \(\mathrm{m} \angle A=\mathrm{m} \angle C=\mathrm{m} \angle D=30^{\circ}\) find the measure of the indicated reflex angle.
Problem 38
Prove that when the midpoints of consecutive sides of a quadrilateral are joined in order, the resulting quadrilateral is a parallelogram.
Problem 39
For quadrilateral \(A B C D,\) the measures of its angles are \(\mathrm{m} \angle A=x+16, \mathrm{m} \angle B=2(x+1), \mathrm{m} \angle C=\frac{3}{2} x-11\) and \(\mathrm{m} \angle D=\frac{7}{3} x-16 .\) Determine the measure of each angle of \(A B C D\) and whether \(A B C D\) is a parallelogram.
