Junior Cycle Mathematics Geometry: The diagram below shows a parall

Question

The diagram below shows a parallelogram and its two diagonals.
Some of the angles in the diagram are marked.

Write down the size of the angle $K$ and the size of the angle $L$.

$|K| = $
$|L| = $

There are four statements in the table below.

(i) Put a tick (✓) in the correct box on each line to show whether each statement is always true, sometimes true, or never true.

| Statement | Always true | Sometimes true | Never true |
|-----------|-------------|----------------|------------|
| 1. In a rectangle, the opposite sides are equal. |  |  |  |
| 2. The sum of the four angles in a rectangle is 180°. |  |  |  |
| 3. A square has 4 axes of symmetry. |  |  |  |
| 4. Each of the angles in a parallelogram is 90°. |  |  |  |

Statement 2 in the table above says that the sum of the four angles in a rectangle is 180°.
(ii) Justify your answer to statement 2.

The diagram below shows a parallelogram and its two diagonals - Junior Cycle Mathematics - Question 10 - 2016

Worked Solution & Example Answer:The diagram below shows a parallelogram and its two diagonals - Junior Cycle Mathematics - Question 10 - 2016

|K| =

|L| =

1. In a rectangle, the opposite sides are equal.

2. The sum of the four angles in a rectangle is 180°.

3. A square has 4 axes of symmetry.

4. Each of the angles in a parallelogram is 90°.

Justify your answer to statement 2.

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