I have two questions

If a parallelogram is a rhombus, then the diagonals are congruent-
I don't think so-they can bisect each other and are perpendicular, correct but not congruent

Secondly, A kite is a quadrilateral that has exactly 2 pairs of consecutive congruent sides-I think this is correct

http://www.jiskha.com/display.cgi?id=1299028007

First Question:

To determine whether the diagonals of a parallelogram that is also a rhombus are congruent, we can start by understanding the properties of a rhombus. A rhombus is a type of parallelogram in which all four sides are congruent. Additionally, a rhombus has opposite angles that are congruent, and its diagonals bisect each other at right angles.

To answer the question, we need to think about whether the property of having congruent diagonals applies to a rhombus. In a rhombus, the diagonals do bisect each other at right angles. However, this does not necessarily mean that the diagonals are congruent.

So, the statement "If a parallelogram is a rhombus, then the diagonals are congruent" is false. The diagonals of a rhombus are perpendicular to each other and bisect each other, but they are not necessarily congruent.

Second Question:
To determine whether a kite is a quadrilateral that has exactly 2 pairs of consecutive congruent sides, we can examine the properties of a kite.

A kite is a quadrilateral that has two pairs of consecutive congruent sides. This means that the kite has two pairs of adjacent sides that are equal in length. However, the other two pairs of non-consecutive sides are usually not equal in length.

So, the statement "A kite is a quadrilateral that has exactly 2 pairs of consecutive congruent sides" is true. A kite has two pairs of adjacent sides that are congruent, while the non-consecutive sides are generally unequal in length.