Geometry Quiz

10 Points

20 Points

30 Points

40 Points

50 Points

10 Points

20 Points

30 Points

40 Points

50 Points

10 Points

20 Points

30 Points

40 Points

50 Points

10 Points

20 Points

30 Points

40 Points

50 Points

10 Points

20 Points

30 Points

40 Points

50 Points

TrickyTriangles

100 A

100 B

100 C

100 D

100 E

Super Bonus Round

Theorems Symmetry Coordinate Geometry

Trigonometry

Read the Rules of the Game

How many degrees in a Straight Angle?

?

See Answer

Back to quiz

10 Point

s

How many degrees in a Straight Angle?

180

Back to quiz

There are 180 degrees in a Straight Angle (Axiom 3)

10 Point

s

Q1. Find the value of the missing angle in the shape below

See Answer

Back to quiz

10 Point

s

?

Q1. Find the value of the missing angle in the shape below

Back to quiz

10 Point

s

44o

Theorem : The angles in any triangle add to 180°50 + 86 + ? = 180136 + ? = 180? = 180 – 136 = 44

Q2. The triangle below is isosceles.. Why?

See Answer

Back to quiz

20 Point

s

Q2. The triangle below is isosceles. Why?

Back to quiz

20 Point

s

Theorem : In an isosceles triangle the angles opposite the equal sides

are equal.

Q3. What is the missing angle?

See Answer

Back to quiz

30 Point

s

?

Q3. What is the missing angle?

Back to quiz

30 Point

s

150o

There are at least 2 ways you can get the answer;

1. Axiom 3: The number of degrees in a straight angle = 180o

30o + ? = 180? = 180o-30o =150o

2. Theorem 6: Each exterior angle of a triangle is equal to the sum of theinterior opposite angles.100o + 50o = 150o

Q4. Find the missing length?

See Answer

Back to quiz

40 Point

s

?

Q4. Find the missing length

Back to quiz

40 Point

s

[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

9 + 16 = ?2

25 = ?2

= ? So , 5 = the missing length25

Q5. Are the triangles below,congruent, similar, totally different? Give a reason for your answer

See Answer

Back to quiz

50 Point

s

Q5. These triangles are “Similar”

Back to quiz

50 Point

s

Theorem: If two triangles are similar, then their sides are proportional,in order.

Q1. Find the missing angle. Give a reason for your answer.

Back to quiz

10 Point

s

See Answer

Q1. Find the missing Angle. Give a reason for your answer

Back to quiz

10 Point

s

Theorem: Vertically opposite angles are equal in measure.

95o

Q2. Find the missing length in the parallelogram below. Give a reason for your answer.

Back to quiz

20 Point

s

See Answer

?

Q2. Find the missing length in the parallelogram

Back to quiz

20 Point

s

3

below. Give a reason for your answer.

Theorem: The diagonals of a parallelogram bisect each other.

Q3. Are the lines |a| and |b| below parallel? Give a reason for your answer

Back to quiz

30 Point

s

See Answer

Q3. Are the lines |a| and |b| below parallel? Give a reason for your answer

Back to quiz

30 Point

s

No the lines are NOT parallelTheorem 5 (Corresponding Angles). Two lines are parallel if and only iffor any transversal, corresponding angles are equal.

Angles are NOT the

same size

Q4. Give 2 reasons why you can be sure the shape below is a parallelogram

Back to quiz

40 Point

s

See Answer

Q4. 2 reasons why we can be sure this shape is a parallelogram.

Back to quiz

40 Point

s

Opposite sides are equal in length

Theorem: In a parallelogram, opposite sides are equal and opposite angles are equal.

Opposite angles are

equal in measure

Q5. Find the values of x and y below. What theorem supports you answer?

Back to quiz

50 Point

s

See Answer

X

Y

Q5. Find the values of x and y below. What theorem supports you answer?

Back to quiz

50 Point

sTheorem: Let ABC be a triangle. If a line l is parallel to BCand cuts [AB] in the ratio s:t, then it also cuts [AC] inthe same ratio.

Q1. Copy the shape and draw in the axis of symmetry

See Answer

Back to quiz

10Point

s

Q1. Copy the shape and draw in the axis of symmetry

Back to quiz

10Point

s

1 Axis of symmetry

Q2. How many axes of symmetry does this shape have?

See Answer

Back to quiz

20Point

s

Q2. How many axes of symmetry does this shape have?

Back to quiz

20Point

s

2 Axis of symmetry

Q3. Copy this shape and draw its reflection through the given line

See Answer

Back to quiz

30Point

sTLine of Reflection

Q3. Copy this shape and draw its reflection through the given line

Back to quiz

30Point

sTT Line of Reflection

Q4. Copy this shape and draw its reflection through the given line

See Answer

Back to quiz

40Point

sELine of Reflection

Q4. Copy this shape and draw its reflection through the given line

Back to quiz

50Point

sE ELine of Reflection

Q5. Copy this shape and draw its reflection through the Point D

See Answer

Back to quiz

50Point

s

A

BC

Q5. Copy this shape and draw its reflection through the Point D

Back to quiz

50Point

s

A

BC

See Answer

Back to quiz

10Point

s

1 2 3

1

2

3

-1-2-3

-1

-2

-3

00

A

B

Q1. Name the points A and BY Axis

X Axis

Back to quiz

10Point

s

1 2 3

1

2

3

-1-2-3

-1

-2

-3

00

A

B

Q1. Name the points A and B

(-3, 2)

(2, -2)

See Answer

Back to quiz

20Point

s

5 10 15

(-10, 10)

10

15

-5-10-15

-5

-10

-15

00

5

(15,-10)

Q2. Find the distance between Scooby and his snacks.

Y Axis

X Axis

Back to quiz

20Point

s

5 10 15

(-10, 10)

10

15

-5-10-15

-5

-10

-15

00

5

(15,-10)

Q2. Find the distance between Scooby and his snacks.

Y Axis

X Axis

2 22 1 2 1

2 2

2 2

2

( ) ( )

( 10 (15)) (10 ( 10)

( 10 15) (10 10)

(25) (20)

625 400

1025

32 _

x x y y

units

Scooby must walk 32units to get his yummy snacks!

Yummy!

See Answer

Back to quiz

30Point

s

2 4 6

4

6

-2-4-6

-2

-4

-6

00

2

Q3. A jeweller needs to cut this gold chain exactly in half, at what point should he make the cut?

Y Axis

X Axis

(4,6)

(-6,-6)

Mmm.. Where

should I cut this chain?

Back to quiz

30Point

s

2 4 6

4

6

-4-6

-2

-4

-6

00

2

Q3. A jeweller needs to cut this gold chain exactly in half, at what point should he make the cut?

Y Axis

X Axis

(4,6)

(-6,-6)

1 2 1 2,2 2

4 ( 6) 6 ( 6),

2 22 0,

2 21,0

x x y y

Find the Mid Point

(-1,0)

-2

See Answer

Back to quiz

40Point

s

2 4 6

4

6

-2-4-6

-2

-4

-6

00

2

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|

Y ais

X ais

a

b

Fána a = 1/2

Fána b = -2

Think.. What do you know

about perpendicular

slopes?

Back to quiz

40Point

s

2 4 6

4

6

-2-4-6

-2

-4

-6

00

2

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|

Y Axis

X Axis

a

b

Slope of line a = 1/2

Slope of line b = -2

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.

Back to quiz

50Point

s

Q5. The equation of a line is

y = 2x + 4

Where will this line intersect the Y axis?

See Answer

Back to quiz

50Point

s

2 4 6

4

6

-2-4-6

-2

-4

-6

00

2

Q5. Where will this line intersect the Y axis?

Y Axis

X Axis

There a lots of ways to solve this question.1. You could draw the line2. You could use the equation

of the line and allow x = 0 and solve

y= 2x + 4y = 2(0) + 4y = 4So when x = 0, y =4

The line cuts the y axis at (0,4)

Back to quiz

10Point

s

Q1. Identify the hypotenuse in the triangle below.

See Answer

x

y

z

Back to quiz

10Point

s

Q1. Identify the hypotenuse in the triangle below.

x

y

z

In a right angle triangle the hypotenuse is always opposite the right angle. So the line y is the hypotenuse.

Hypotenuse

Back to quiz

20Point

s

Q2. Postman Pat must travel 14 km todeliver the mail. Can you calculate a shorter distance?

See Answer

8km

6km

90o

? km

Using the theorem of PythagorasWe can figure out that theshortest distance to the house is 10km

(6)2 + (8)2 = (?)2

36 + 64 = (?)2

100 = (?)2

100 = ?10km = ? = Shortest Distance

Back to quiz

20Point

s

Q2. Postman Pat must travel 14 km todeliver the mail. Can you calculate a shorter distance?

8km

6km

90o

10km

Back to quiz

30Point

s

Q3. Change the following decimal angle toDegrees, minutes and seconds

See Answer

147.3715o

Back to quiz

30Point

s

Q3. Change the following decimal angle toDegrees, minutes and seconds

147.3715 degrees

0.3715 x 60 = 22.29Ans = 147o 22’ 17.4’’

Back to quiz

40Point

s

Q4. Change the following DMS angle toDegrees and decimals

See Answer

89o 41’ 18’’

Back to quiz

40Point

s

Q4. Change the following DoM’S’’ angle toDegrees and decimals

89o 41’ 18’’89o = 89o 41 x 1/60 =.68318 x (1/60) x (1/60) = .005

Answer: 89.688o

Back to quiz

50Point

s

Q5. Find the angle x, that the ramp makes with the ground

See Answer90o

4 metres

3 metres

x

Back to quiz

50Point

s

Q5. Find the angle x, that the ramp makes with the ground

90o

4 metres

3 metres

x

Using tan x= opposite/adjacent

Tan x = ¾

X = Tan-1 ¾

X = 36.86o

Q1. Find the missing angle below. Give a reason for your answer

See Answer

Back to quiz

100Point

s

?

Q1. Find the missing angle below. Give a reason for your answer

Back to quiz

100Point

s

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

Q2. Find the missing angle θ below. Give a reason for your answer

Back to quiz

100Point

s

140o

θ

See Answer

Q2. Missing angle θ = 26o

Back to quiz

100Point

s

140o

Reason:

26o.

Each angle in a semi-circle is a right angle

90o

Q3. How high is the biker from the river surface?

Back to quiz

100Point

s

See Answer

12 metres

8 metres

20 metre

s

x

Note: Assume triangle in diagram is a right angle triangle

Q3. How high is the biker from the river surface?

Back to quiz

100Point

s

12 metres8 m

etres

20 metre

s

x

Note: Assume triangle in diagram is a right angle triangle

Using theorem of Pythagoras, biker is 16m + 8m = 24 metres from the river surface

Q4. Can Joe make a triangle from the 3 strips below? Give a reason for your answer.

Back to quiz

100Point

s

See Answer

20 cm

8 cm

5 cm

Q4. Can Joe make a triangle from the 3 strips below? Give a reason for your answer.

Back to quiz

100Point

s

20 cm

8 cm5 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 5 + 8 < 20

Q5. Paul the Penguin is trying to catch some dinner. How long is his fishing line?

Back to quiz

100Point

s

See Answer

80cm

1 m

?

90o

Fishing Line

Q5. Paul the Penguin is trying to catch some dinner. How long is his fishing line?

Back to quiz

100Point

s

80cm

1 m

?

90o

Fishing Line

There are many ways to figure this out, here’s one example using Pythagoras: Remember 1m = 100cm

2 2 2

2

2

2

100 80 ?

10000 6400 ?

10000 6400 ?

3600 ?

3600 ?

60 ?

_ 60Fishing line cm

Interactive Geometry Quiz Rules1. 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 BACK TO GAME