Angles

Question 1

Angles around a point sum to . . . ?

Answer 1

360°

Question 2

Angles on a straight line sum to . . . ?

Answer 2

180°

Question 3

Angles in a triangle sum to . . . ?

Answer 3

180°

Question 4

Angles in a quadrilateral sum to . . . ?

Answer 4

360°

Question 5

What do the exterior angles of any polygon sum to?

Answer 5

360°

Question 6

How would you find the size of one exterior angle of a regular polygon?

Answer 6

Divide 360° by the number of sides

Question 7

How would you find the size of one interior angle of a regular polygon?

Answer 7

Divide 360° by the number of sides (this gives you one exterior angle)

Then subtract this answer from 180° to find one interior angle

Question 8

How would you find the interior angle sum of a polygon?

Answer 8

1) Subtract 2 from the number of sides then multiply by 180°
2) If it’s regular, you can find one interior angle by doing 360° divided by number of sides, then take this away from 180°. You then multiply this answer by the number of sides.

Question 9

What do we called Z angles? What do we know about them?

Answer 9

Alternate angles - they are equal

Question 10

What do we called F angles? What do we know about them?

Answer 10

Corresponding angles - they are equal

Question 11

What do we called X angles? What do we know about them?

Answer 11

Vertically opposite angles - they are equal

Question 12

What are the key features of a bearing?

Answer 12

Measured from North

Measured clockwise

Must be given in three figues 035° or 287°

Question 13

What are the four conditions of congruence?

Answer 13

SSS - three equal sides

SAS - two sides and the angle BETWEEN them are equal

ASA/AAS - two angles and a corresponding side are equal

RHS - there is a right angles, plus the hypotenuse and one other side are equal

Question 14

How we we show two triangles are similar?

Answer 14

1) show all of the angles are the same

or

2) show the lengths of the sides of the two triangles are in the same ratio

Question 15

If the length scale factor is 4, what is the area scale factor?

Answer 15

4² = 16 (ASF = LSF²)

Question 16

If the length scale factor is 3/2, what is the area scale factor?

Answer 16

(3/2)² = 9/4 (ASF = LSF²)

Question 17

If the length scale factor is 1/2, what is the volume scale factor?

Answer 17

(1/2)³ = 1/8 (VSF = LSF³)

Question 18

If the length scale factor is 2, what is the volume scale factor?

Answer 18

2³ = 8 (VSF = LSF³)

Question 19

If the area scale factor is 9, what is the volume scale factor?

Answer 19

LSF = square root of 9 = 3

VSF = 3³ = 27