Prompt: Describe the similarities and differences of the properties of squares, rectangles, rhombi, and parallelograms. ​

Here are the properties of the rhombus, rectangle, and square. Note that because these three quadrilaterals are all parallelograms, their properties include the parallelogram properties.

The rhombus has the following properties:

All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary).

All sides are congruent by definition.

The diagonals bisect the angles.

The diagonals are perpendicular bisectors of each other.

The rectangle has the following properties:

All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other).

All angles are right angles by definition.

The diagonals are congruent.

The square has the following properties:

All the properties of a rhombus apply (the ones that matter here are parallel sides, diagonals are perpendicular bisectors of each other, and diagonals bisect the angles).

All the properties of a rectangle apply (the only one that matters here is diagonals are congruent).

All sides are congruent by definition.

All angles are right angles by definition.

Step-by-step explanation:

https://mathstat.slu.edu/escher/index.php/Squares,_Rectangles,_Parallelograms_and_Other_Polygons

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°