Quadrilaterals and Polygons

Question 1

What is a quadrilateral

Answer 1

Any shape with four straight sides.

Question 2

What is the sum of angles in quadrilateral?

Answer 2

360 degrees

Question 3

Describe a Trapezium

Answer 3

1. One pair of parallel sides.
2. No line of symmetry (maybe possible)
3. No rotational symmetry

Question 4

Describe a parallelogram

Answer 4

1. Two pairs of parallel sides.
2. Each side is parallel to the opposite side
3. Opposite angles are equal
4. Adjacent angles add up to 180 degrees
5. Rotational symmetry of order 2 (a half turn)
6. Diagonals bisect each other

Question 5

Describe a rhombus

Answer 5

1. Special type of parallelogram with four equal sides
2. Has all the attributes of a parallelogram
3. Opposite angles are equal
4. Diagonals bisect each other
5. Rotational symmetry of order 4

Question 6

Describe a rectangle

Answer 6

1. Its a parallelogram
2. Opposite sides are parallel and in equal length.
3. All angles are right angles
4. Two lines of symmetry
5. rotational symmetry of order 2
6. Lines of symmetry are not at right angles.
7. Diagonals bisect each other

Question 7

Describe a square

Answer 7

1. It can be thought of as a special rectangle or rhombus.
2. All foir sides are equal.
3. Four lines of symmetry
4. Rotational symmetry of order 4
5. Diagonals bisect each other at right angles

Question 8

What is a polygon?

Answer 8

A shape that has straight sides.

Question 9

How to calculate the sum of the interior angles of a polygon?

Answer 9

(n-2) x 180

n=sides

Question 10

Waht is convex mean.

Answer 10

That none of the interior angle are reflex.

Question 11

What does the exterior angles of a convex polygon add up to?

Answer 11

360

Question 12

What is a regular polygon?

Answer 12

All size and angles are equal.

Question 13

What is the second method of finding the interior angles of a polygon?

Answer 13

work out the exterior angle (360 degrees dived by 5)

And then take the answer away from 180.

Question 14

The sum of an interior and exterior angle of a regular polygon?

Answer 14

180 degrees

Question 15

Describe a kite

Answer 15

1. One line of symmetry
2. One pair of equal angles
3. No rotational symmetry
4. Bisects one way
5. Diagonals cut each other at right angles