# Which of the following statement is false A all the rectangles are parallelograms B all the squares are rectangles C all the parallelograms are rectangles D all the rhombuses are parallelograms?

## Which of the following statement is false A all the rectangles are parallelograms B all the squares are rectangles C all the parallelograms are rectangles D all the rhombuses are parallelograms?

Hence, all rectangles are parallelograms but all parallelograms are not rectangles – statement (3) is false. 3. A rhombus is a parallelogram with all sides equal. A square, in addition to having all sides equal, also has one angle as a right angle.

**Which of the following statement is true all the rectangles are squares all the parallelograms are rhombuses all the squares are rhombuses each parallelogram is a trapezium?**

Answer: True; squares fulfill all criteria of being a rectangle because all angles are right angle and opposite sides are equal. Similarly, they fulfill all criteria of a rhombus, as all sides are equal and their diagonals bisect each other. (f) All parallelograms are trapeziums.

### Which statement is false All squares are rectangles?

So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length.

**Are all rectangles parallelograms True or false?**

False! Only squares and rectangles are parallelograms with right angles.

## Why every rhombus is not a square?

All the sides are equal. All the angles are equal to 90°. The diagonals are equal. A rhombus does NOT have all the properties of a square, therefore is not a special kind of square.

**Are squares a rhombus?**

A rhombus is a quadrilateral (plane figure, closed shape, four sides) with four equal-length sides and opposite sides parallel to each other. All rhombuses are parallelograms, but not all parallelograms are rhombuses. All squares are rhombuses, but not all rhombuses are squares.

### Is every square a rhombus True or false?

Hence, every square is a rhombus but the opposite is not true.

**Are squares always parallelograms?**

Parallelograms are quadrilaterals with two sets of parallel sides. Since squares must be quadrilaterals with two sets of parallel sides, then all squares are parallelograms. This is always true. Squares are quadrilaterals with 4 congruent sides.

## How do you know if a rectangle is square?

If we measure from one corner to the opposite corner diagonally (as shown by the red line), and then compare that distance to the opposite diagonal measurement (as depicted by the blue line), the two distances should match exactly. If they are equal, the assembly is square.

**What size rectangle contains exactly 100 squares?**

In fact, a 4 \times 11 rectangle contains exactly 100 squares.

### How do you square a layout?

The placement of the poles will then be located from this reference point to the outside corners. To square up the building lines measure from left front corner to right rear corner. Then measure from right front corner to left rear corner. The building is square when these two measurements are equal length.

**How do you square 4 posts?**

Pull a tape measure along the first wall out to the distance of the length of the wall. For example, if your four posts will be set 10 feet apart along the length and width of the building, then hook the tape measure to the first stake and pull it out 10 feet, placing a stake at 10 feet.

## How do you find the perfect rectangle?

The golden rectangle is a rectangle whose sides are in the golden ratio, that is (a + b)/a = a/b , where a is the width and a + b is the length of the rectangle.

**What is the ratio of a perfect rectangle?**

In geometry, a golden rectangle is one whose side lengths are in the golden ratio (approximately 1:1.618).

### How do you solve a golden rectangle problem?

Here’s a step by step method to solve the ratio by hand.

- Find the longer segment and label it a.
- Find the shorter segment and label it b.
- Input the values into the formula.
- Take the sum a and b and divide by a.
- Take a divided by b.
- If the proportion is in the golden ratio, it will equal approximately 1.618.