Geometry Yr 7

Question 1

Sum of the interior angles in a quadrilateral

Answer 1

The combined interior angles of a quadrilateral is 360 degrees

Question 2

Sum of the exterior angles of a polygon

Answer 2

The combined exterior angles of a polygon is 360 degrees

Question 3

Sum of the interior angles of a polygon

Answer 3

The formula for calculating the sum of interior angles is ( n − 2 ) × 180 Interior angles sum up to 180(n-2) n= number of sides

Question 4

Interior + exterior angles of a polygon add up to?

Answer 4

180 degrees

Question 5

Calculate the size of the exterior and interior angle in a regular pentagon.

Answer 5

Method one The sum of exterior angles is 360° The exterior angle is 360 ÷ 5 = 72° The interior and exterior angles add up to 180° The interior angle is 180 - 72 = 108° Method two The sum of interior angles is (5 - 2) × 180 = 540° The interior angle is 540 ÷ 5 = 108° The interior and exterior angles add up to 180° The exterior angle is 180 - 108 = 72°

Question 6

What are angles in parallel lines which appear to have an F formation called?

Answer 6

Corresponding angles. Corresponding angles are equal.

Question 7

What shape do alternate angles form?

Answer 7

The form a Z shape, and are equal to each other.

Question 8

What are adjacent angles?

Answer 8

Next to each other on a straight line and add up to 180 degrees

Question 9

What are supplementary angles?

Answer 9

Any angles that add up 180 degrees

Question 10

What are interior angles?

Answer 10

In a C shape and add up to 180 degrees.

Question 11

What are the properties of a polygon?

Answer 11

A shape with at least three straight sides and angles.

Question 12

What are the properties of an equilateral triangle

Answer 12

Three sides, all same length, 3 equal angles

Question 13

What are the properties of an isosceles triangle?

Answer 13

Two equal sides and 2 equal angles

Question 14

What are the properties of a scalene triangle

Answer 14

No equal sides or angles

Question 15

How do work out the sum of the interior angles of a regular polygon?

Answer 15

180*(n-2) n=number of sides

Question 16

Names of polygons

Answer 16

triangle - 3 quadrilateral - 4 pentagon - 5 hexagon - 6 heptagon - 7 octagon - 8 nonagon - 9 decagon - 10 hendecagon - 11 dodecagon - 12

Question 17

What do the exterior angles of a polygon add up to? Formula?

Answer 17

The sum of exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.

Question 18

What is a reflex angle?

Answer 18

More than 180 degrees

Question 19

What is an obtuse angle?

Answer 19

More than 90 degrees but less than 180 degree

Question 20

What is an acute angle?

Answer 20

Less than 90 degrees

Question 21

What is a right angle?

Answer 21

90 degrees exactly

Question 22

What do the opposite angels of a parallelogram add up to?

Answer 22

180 degrees

Question 23

Opposite angles when two lines intersect add up to…

Answer 23

180 degrees

Question 24

C angle is?

Answer 24

A cointerior angle that is equal

Question 25

calculate number of sides in a regular polygon when exterior angle is 30^o

Answer 25

360 / 30 = 12

the polygon has 12 sides

Question 26

with a 10 sided regular polygon what is one interior angle?

Answer 26

n-2 x 180

10-2 x 180

8 x 180 = 1440

1440 / 10 = 150