Explanation
First of all it's important to note that all parallelograms, rhombuses and squares are quadrilateral and they meet the following properties:
- Rhombus: quadrilateral whose four sides have the same length.
- Parallelogram: quadrilateral that has two pairs of parallel sides.
- Square: quadrilateral whose four sides and internal angles have the same length/measure.
With these definitions in mind we can solve the True or False table in the picture.
The first statement is false not every quadrilateral is a rhombus. For example rectangles that are not squares are not rhombuses since their four sides aren't all equal.
The second is true, as we saw before parallelograms are quadrilaterals. The same reason applies to the third statement, squares are qudrilaterals.
Now let's see the last statement. A rhombus with four right angles is a quadrilateral that has four equal sides (because it's a rhombus) and four equal angles (all measuring 90°). These are the conditions required for a quadrilateral to be considered a square so this last statement is true.
Answers
Then the answers are:
F
