PCH2: Plane Geometry

Question 1

Symbol for “is parallel to”

Answer 1

||

Question 2

symbol for “is perpendicular to”

Answer 2

|

____

Question 3

symbol for “is congruent to”

Question 4

triangle of ABC

Answer 4

∆ ABC

Question 5

therefore

Answer 5

.

. .

Question 6

because

Answer 6

. .

.

Question 7

Right angle

Answer 7

= 90˚

Question 8

collinear points

Answer 8

lie on the same line

Question 9

concurrent lines

Answer 9

pass through same point

Question 10

produced

Answer 10

continued

Question 11

angles of a straight line

Answer 11

= 180˚

Question 12

vertically opposite angles

Answer 12

equal

Question 13

angles at a point

Answer 13

= 360˚

Question 14

co-interior angles

Answer 14

= 180˚

Question 15

angle sum of triangle

Answer 15

= 180˚

Question 16

exterior angle of triangle

Answer 16

= sum of interior opposite angles

Question 17

angle sum of quadrilateral

Answer 17

= 360˚

Question 18

angle sum of polygon

Answer 18

S = (n-2) x 180˚

Question 19

exterior angles of a polygon

Answer 19

= 360˚

Question 20

exterior angle

Answer 20

180˚ - interior angle

OR

360˚ ÷ number of sides

Question 21

interior angle

Answer 21

180˚ - exterior angle

Question 22

number of sides

Answer 22

360˚ ÷ exterior angle

or

angle sum ÷ interior angle

Question 23

congruent triangles

Answer 23

exactly the same shape and size

Question 24

tests for congruent triangles

Answer 24

1. SSS (all sides equal)
2. SAS (2 sides and included angle equal)
3. AAS (2 angles and a side of one equal)
4. RHS (contains right angle, equal hypotenuse and one other side equal)

Question 25

isosceles triangle

Answer 25

two equal sides and two equal angles

Question 26

equilateral triangle

Answer 26

all sides and angles equal

Question 27

parallelogram

Answer 27

• opposite sides equal
• opposite angles equal
• diagonals bisect each other

Question 28

rhombus

Answer 28

• opposite sides equal
• opposite angles equal
• diagonals bisect each other at right angles
• diagonals bisect the angles through which they pass

Question 29

rectangle

Answer 29

• opposite sides equal
• opposite angles equal
• diagonals bisect each other
• diagonals equal

Question 30

square

Answer 30

• all sides equal
• all angles equal
• diagonals bisect each other
• diagonals are equal

Question 31

similar triangles

Answer 31

exactly the same shape, but not necessarily the same size

corresponding angles are equal, corresponding sides are in proportion

Question 32

tests for similar triangles

Answer 32

1. corresponding angles are equal or two pairs of corresponding angles are equal
2. corresponding sides are proportional (same ratio)
3. two pairs of corresponding sides are proportional and the included angles are equal
4. hypotenuse and one side of a right-angled triangle are proportional to the the hypotenuse and side of another right-angled tirangle

Question 33

properties of similar triangles

Answer 33

• a line parallel to one side of a triangle divides the other two sides in proportion
• a line joining the midpoints of two sides of a triangle is parallel to the third side and half its length

Question 34

intercept properties of transversals to parallel lines

Answer 34

• parallel lines preserve the ratio of intercepts on transversals

Question 35

pythagoras therom

Answer 35

c^2 = a^2 + b^2

Question 36

area of a rectangle

Answer 36

A = lb

Question 37

area of a triangle

Answer 37

A = 0.5 x b x h

Question 38

area of a parallelogram

Answer 38

A = b x perpendicular height

Question 39

area of a rhombus

Answer 39

A = 0.5 x xy

Question 40

area of a trapezium

Answer 40

A = h ÷ 0.5 x (a + b)

Question 41

area of a square

Answer 41

A = s^2

Question 42

complementary angles

Answer 42

add up to 90˚

Question 43

supplementary angles

Answer 43

add up to 180˚

Question 44

How do you tell if a triangle is right angled?

Answer 44

Sub values for sides into formula for pythagoras