Exercise 34 Page 829

Each of the quadrilaterals has its own unique characteristics.

1. Trapezoid — a quadrilateral with exactly one pair of parallel sides (Exclusive definition of trapezoid).
2. Isosceles Trapezoid — a particular type of trapezoid whose legs are congruent.
3. Kite — a quadrilateral with two pairs of congruent consecutive sides, where opposite sides are not congruent.
4. Parallelogram — a quadrilateral with two pairs of parallel sides.
5. Rhombus — a type of parallelogram that has four equal side lengths.
6. Rectangle — a type of parallelogram that has four right angles.
7. Square — a type of rectangle that has four equal side lengths.

Looking at the diagram, we can already tell that the first statement is true. Squares are rhombuses because they have four equal sides, and they are also rectangles because they have four right angles. This indicates that they can also be called parallelograms.

Now, let's recall that in a parallelogram, opposite angles are congruent and consecutive angles are supplementary. This means that if a parallelogram has 2 right angles, then the other two angles also need to be right. Therefore, a parallelogram with at least 2 right angles must be a rectangle, so the second statement is also true.

Next, the definition of a kite tells us that it is a quadrilateral with 2 pairs of congruent consecutive sides. This means the third statement is again true.

Finally, the fourth statement is false because a rhombus is a type of parallelogram that has 4 — not 2 — equal side lengths.

Therefore, only statement D is not true.