1. Read the Rules of the Game
Geometry Quiz
Read the Rules of the Game
Trigonometry
Super Bonus Round
Tricky Triangles
Theorems
Symmetry
Coordinate Geometry
10 Points
100 A
10 Points
10 Points
10 Points
10 Points
20 Points
20 Points
100 B
20 Points
20 Points
20 Points
30 Points
30 Points
100 C
30 Points
30 Points
30 Points
40 Points
40 Points
40 Points
40 Points
40 Points
100 D
50 Points
50 Points
50 Points
50 Points
50 Points
100 E

2. How many degrees in a Straight Angle?10
Points ?
See Answer
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3. How many degrees in a Straight Angle?10
Points
180
There are 180 degrees in a
Straight Angle (Axiom 3)
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4. Q1. Find the value of the missing angle in the shape below10
Points
See Answer ?
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5. Q1. Find the value of the missing angle in the shape below10
Points
44o
Theorem : The angles in any triangle add to 180°
? = 180
136 + ? = 180
? = 180 – 136 = 44
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6. Q2. The triangle below is isosceles.. Why?20
Points
See Answer
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7. Q2. The triangle below is isosceles. Why?20
Points
Theorem : In an isosceles triangle
the angles opposite the equal sides
are equal.
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8. Q3. What is the missing angle?30
Points ?
See Answer
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9. Q3. What is the missing angle?30
Points
150o
There are at least 2 ways you can get the answer;
2. Theorem 6: Each exterior angle of a triangle is equal to the sum of the
interior opposite angles.
100o + 50o = 150o
Axiom 3: The number of degrees in a straight angle = 180o
30o + ? = 180
? = 180o-30o =150o
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10. Q4. Find the missing length?40
Points ?
See Answer
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11. = ? So , 5 = the missing length
Q4. Find the missing length 40
Points
[Theorem of Pythagoras] In a right-angled triangle the square of the hypotenuse is the sum of the squares of the other two sides.
32+42 = ?2
= ?2
25 = ?2
= ? So , 5 = the missing length
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12. Q5. Are the triangles below,
congruent, similar, totally different? Give a reason for your answer 50
Points
See Answer
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13. Q5. These triangles are “Similar”50
Points
Theorem: If two triangles are similar, then their sides are proportional,
in order.
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14. Q1. Find the missing angle. Give a reason for your answer.10
Points
See Answer
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15. Q1. Find the missing Angle. Give a reason for your answer10
Points
95o
Theorem: Vertically opposite angles are equal in measure.
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16. Q2. Find the missing length in the parallelogram below
Q2. Find the missing length in the parallelogram below. Give a reason for your answer. 20
Points ?
See Answer
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17. Q2. Find the missing length in the parallelogram
below. Give a reason for your answer. 3 20
Points
Theorem: The diagonals of a parallelogram bisect each other.
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18. Q3. Are the lines |a| and |b| below parallel
Q3. Are the lines |a| and |b| below parallel? Give a reason for your answer 30
Points
See Answer
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19. Angles are NOT the same size
Q3. Are the lines |a| and |b| below parallel? Give a reason for your answer
Angles are NOT the same size 30
Points
No the lines are NOT parallel
Theorem 5 (Corresponding Angles).
Two lines are parallel if and only if
for any transversal, corresponding angles are equal.
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20. Q4. Give 2 reasons why you can be sure the shape below is a parallelogram40
Points
See Answer
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21. Q4. 2 reasons why we can be sure this shape is a parallelogram.
Opposite sides are equal in length 40
Points
Opposite angles are equal in measure
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Theorem: In a parallelogram, opposite sides are equal and opposite angles are equal.

22. Q5. Find the values of x and y below. What theorem supports you answer?50
Points X
See Answer Y
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23. Q5. Find the values of x and y below. What theorem supports you answer?50
Points
Theorem: Let ABC be a triangle. If a line l is parallel to BC
and cuts [AB] in the ratio s:t, then it also cuts [AC] in
the same ratio.
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24. Q1. Copy the shape and draw in the axis of symmetry10
Points
See Answer
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25. Q1. Copy the shape and draw in the axis of symmetry10
Points
1 Axis of symmetry
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26. Q2. How many axes of symmetry does this shape have?20
Points
See Answer
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27. Q2. How many axes of symmetry does this shape have?20
Points
2 Axis of symmetry
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28. T Q3. Copy this shape and draw its reflection through the given line30
Points T
Line of Reflection
See Answer
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29. T T Q3. Copy this shape and draw its reflection through the given line30
Points T T
Line of Reflection
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30. E Q4. Copy this shape and draw its reflection through the given line40
Points E
Line of Reflection
See Answer
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31. E E Q4. Copy this shape and draw its reflection through the given line50
Points E E
Line of Reflection
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32. Q5. Copy this shape and draw its reflection through the Point D50
Points A B C
See Answer
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33. Q5. Copy this shape and draw its reflection through the Point D50
Points A B C
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34. Q1. Name the points A and B 10 Points Y Axis 3 A 2 1 X Axis -3 -2 -1 1-3 -2 -1 1 2 3 -1 B
See Answer -2
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35. Q1. Name the points A and B 10 Points (-3, 2) (2, -2) 3 A 2 1 -3 -2 -1-3 -2 -1 1 2 3 -1 B -2
(2, -2)
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36. Q2. Find the distance between Scooby and his snacks.20
Points
Y Axis 15 10
(-10, 10) 5
X Axis
-15
-10 -5 5 10 15 -5
See Answer
-10
(15,-10)
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-15

37. Q2. Find the distance between Scooby and his snacks.20
Points
Y Axis
Yummy! 15 10
(-10, 10) 5
X Axis
-15
-10 -5 5 10 15 -5
Scooby must walk 32units to get his yummy snacks!
-10
(15,-10)
-15
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38. Mmm.. Where should I cut this chain?
Q3. A jeweller needs to cut this gold chain exactly in half, at what point should he make the cut? 30
Points
Y Axis
(4,6) 6
Mmm.. Where should I cut this chain? 4 2
X Axis 2 4 6 -6 -4 -2 -2
See Answer -4
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(-6,-6)

39. Q3. A jeweller needs to cut this gold chain exactly in half, at what point should he make the cut?30
Points
Find the Mid Point
Y Axis
(4,6) 6 4 2
(-1,0)
X Axis 2 4 6 -6 -4 -2 -2 -4
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(-6,-6)

40. Think.. What do you know about perpendicular slopes?
Q4. Look at the picture below, how can you know for a fact that the line |a| is at a right angle to the line |b| 40
Points
Y ais
Think.. What do you know about perpendicular slopes?
Fána a = 1/2 6 4 a 2
X ais 2 4 6 -6 -4 -2 b -2
See Answer -4
Fána b = -2
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41. Q4. Look at the picture below, how can you know for a fact that the line |a| is at a right angle to the line |b| 40
Points
Y Axis
Slope of line a = 1/2 6
If the line |a| is at a right angle to the line |b|, then they should be perpendicular.
So, we can say
m a x m b = -1
(½) x (-2) = -1
-1 = -1
Yes, we can say for a fact the lines are at right angles to each other. 4 a 2
X Axis 2 4 6 -6 -4 -2 b -2 -4
Slope of line b = -2
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42. Q5. The equation of a line is y = 2x + 4
Where will this line intersect the Y axis? 50
Points
See Answer
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43. Q5. Where will this line intersect the Y axis?50
Points
Y Axis
The line cuts the y axis at (0,4) 6
There a lots of ways to solve this question.
You could draw the line
You could use the equation of the line and allow x = 0 and solve
y= 2x + 4
y = 2(0) + 4
y = 4
So when x = 0, y =4 4 2
X Axis 2 4 6 -6 -4 -2 -2 -4
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44. Q1. Identify the hypotenuse in the triangle below.10
Points x z y
See Answer
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45. Q1. Identify the hypotenuse in the triangle below.10
Points x z
Hypotenuse y
In a right angle triangle the hypotenuse is always opposite the right angle. So the line y is the hypotenuse.
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46. Q2. Postman Pat must travel 14 km to deliver the mail
Q2. Postman Pat must travel 14 km to deliver the mail. Can you calculate a shorter distance? 20
Points
? km
6km
See Answer
90o
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8km

47. Q2. Postman Pat must travel 14 km to deliver the mail
Q2. Postman Pat must travel 14 km to deliver the mail. Can you calculate a shorter distance? 20
Points
Using the theorem of Pythagoras
We can figure out that the shortest distance to the house is
10km
(6)2 + (8)2 = (?)2
= (?)2
100 = (?)2 
100 = ?
10km = ? = Shortest Distance
10km
6km
90o
8km
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48. 147.3715o Q3. Change the following decimal angle to
Degrees, minutes and seconds 30
Points o
See Answer
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49. Q3. Change the following decimal angle to
Degrees, minutes and seconds 30
Points
degrees
x = 22.29
Ans = 147o 22’ 17.4’’
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50. 89o 41’ 18’’ Q4. Change the following DMS angle to
Degrees and decimals 40
Points
89o 41’ 18’’
See Answer
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51. Q4. Change the following DoM’S’’ angle to
Degrees and decimals 40
Points
89o 41’ 18’’
89o = 89o
41 x 1/60 =.683
18 x (1/60) x (1/60) = .005
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Answer: o

52. Q5. Find the angle x, that the ramp makes with the ground50
Points
3 metres
90o x
See Answer
4 metres
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53. Q5. Find the angle x, that the ramp makes with the ground50
Points
Using tan x= opposite/adjacent
Tan x = ¾
X = Tan-1 ¾
X = 36.86o
3 metres
90o x
4 metres
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54. Q1. Find the missing angle below. Give a reason for your answer
100
Points ?
See Answer
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55. Q1. Find the missing angle below. Give a reason for your answer
100
Points
140o
Theorem: The angle at the centre of a circle standing on a given arc is twice the angle at any point of the circle standing on the same arc
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56. Q2. Find the missing angle θ below. Give a reason for your answer
100
Points
140o θ
See Answer
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57. Q2. Missing angle θ = 26o 100 Points 140o Reason:
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Each angle in a semi-circle is a right angle

58. Q3. How high is the biker from the river surface?
100
Points
Note: Assume triangle in diagram is a right angle triangle
20 metres x
12 metres
8 metres
See Answer
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59. Q3. How high is the biker from the river surface?
100
Points
Note: Assume triangle in diagram is a right angle triangle
20 metres x
12 metres
8 metres
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Using theorem of Pythagoras, biker is 16m + 8m = 24 metres from the river surface

60. Q4. Can Joe make a triangle from the 3 strips below
Q4. Can Joe make a triangle from the 3 strips below? Give a reason for your answer.
100
Points
20 cm
8 cm
See Answer
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5 cm

61. Q4. Can Joe make a triangle from the 3 strips below
Q4. Can Joe make a triangle from the 3 strips below? Give a reason for your answer.
100
Points
8 cm
5 cm
20 cm
No matter how hard he tries, Joe will not be able to make a triangle from these 3 strips.
This is because of the theorem that states: 2 sides of a triangle must be longer than the third.
In this case < 20
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62. Q5. Paul the Penguin is trying to catch some dinner
Q5. Paul the Penguin is trying to catch some dinner. How long is his fishing line?
100
Points
1 m
Fishing Line ?
See Answer
90o
80cm
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63. 100
Points
Q5. Paul the Penguin is trying to catch some dinner. How long is his fishing line?
There are many ways to figure this out, here’s one example using Pythagoras: Remember 1m = 100cm
1 m
Fishing Line ?
90o
80cm
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64. Interactive Geometry Quiz Rules
1. Students get into teams of 3 or 4 people
2. Each Team must pick a category and a value e.g. “Tricky Triangles” then pick a point value, e.g. “30 points”
3. Teams can start with any topic and any value on the board.
4. When a Team chooses a category and a point value, then the question is revealed. The Team then has two options; i. PASS – Question goes back into play, no points lost and any other Team can choose this question.
ii. PLAY – Team answers the question
5. If the answer is CORRECT, the Team is awarded the number of points for this question, HOWEVER, if the answer is INCORRECT, then the Team’s score will be DEDUCTED by this amount.
6. The winning TEAM is decided by who has the most points at the end of the game.
7. Teachers decision is final
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