Year 9 - Term 4 - Axioms/Properties Euclidean Geometry

Question 1

What is an axiom

Answer 1

A true statement

Question 2

A property of Angles is that angles in a right angle add to x

Answer 2

90

Question 3

A property of angles is that angles in a straight line add to x

Answer 3

180

Question 4

A property of angles is that angles in a vertex add to x

Answer 4

360

Question 5

What are the conditions for vertically opposite angles to be equal

Answer 5

The lines must be straight

Question 6

Define all the things that are happening on parallel lines

Answer 6

Co interior angles add to 180, Alternate angles are equal, Corresponding angles are equal

Question 7

How to prove lines are parallel

Answer 7

If the transverse that cuts and the angle properties stay up

Question 8

Name 2 Triangle properties related to angles

Answer 8

2 Interior angles add to the exterior of the other, all 3 angle always add to 180

Question 9

Kite Properties, define diagonals

Answer 9

1. 2 Pair of adjacent sides are equal
2. Diagonals intersect each other perpendicularly
3. Kite Is symmetric along the longer diagonal only
4. Opposite angles are equal
5. Diagonals bisect
   Diagonals are the segments that connect opposite vertices

Question 10

Trapezium Properties

Answer 10

1. 1 pair of sides are parallel
2. Diagonals bisect
3. Bisect means to divide evenly in this case meaning 90 degree angles

Question 11

Parallelogram Properties

Answer 11

1. 2 pairs of sides are parallel
2. Opposite angles are equal
3. Diagonals bisect
4. Co interior angles add to 180

Question 12

Rhombus Properties

Answer 12

1. 2 adjacent angles add to 180
2. Opposite sides are parallel
3. All sides are equal
4. Diagonals bisect each other
5. Opposite angles are equal

Question 13

Rectangle properties

Answer 13

1. Opposite sides are parallel
2. Diagonals bisect each other and are all equal
3. All angles ae 90
4. Pairs of sides are equal

Question 14

Square properties

Answer 14

1. All sides are equal
2. Pairs of sides are parallel
3. Angels in the diagonal are all 90
4. All angles are 90
5. Diagonals bisect