# 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

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<ul><li> Slide 1 </li> <li> 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 Tricky Triangles 100 A 100 B 100 C 100 D 100 E Super Bonus Round Theorems Symmetry Coordinate Geometry Trigonometry Read the Rules of the Game </li> <li> Slide 2 </li> <li> How many degrees in a Straight Angle? ? See Answer Back to quiz 10 Points </li> <li> Slide 3 </li> <li> How many degrees in a Straight Angle? 180 Back to quiz There are 180 degrees in a Straight Angle (Axiom 3) 10 Points </li> <li> Slide 4 </li> <li> Q1. Find the value of the missing angle in the shape below See Answer Back to quiz 10 Points ? </li> <li> Slide 5 </li> <li> Q1. Find the value of the missing angle in the shape below Back to quiz 10 Points 44 o Theorem : The angles in any triangle add to 180 50 + 86 + ? = 180 136 + ? = 180 ? = 180 136 = 44 </li> <li> Slide 6 </li> <li> Q2. The triangle below is isosceles.. Why? See Answer Back to quiz 20 Points </li> <li> Slide 7 </li> <li> Q2. The triangle below is isosceles. Why? Back to quiz 20 Points Theorem : In an isosceles triangle the angles opposite the equal sides are equal. </li> <li> Slide 8 </li> <li> Q3. What is the missing angle? See Answer Back to quiz 30 Points ? </li> <li> Slide 9 </li> <li> Q3. What is the missing angle? Back to quiz 30 Points 150 o There are at least 2 ways you can get the answer; 1.Axiom 3: The number of degrees in a straight angle = 180 o 30 o + ? = 180 ? = 180 o -30 o =150 o 2. Theorem 6: Each exterior angle of a triangle is equal to the sum of the interior opposite angles. 100 o + 50 o = 150 o </li> <li> Slide 10 </li> <li> Q4. Find the missing length? See Answer Back to quiz 40 Points ? </li> <li> Slide 11 </li> <li> Q4. Find the missing length Back to quiz 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. 3 2 +4 2 = ? 2 9 + 16 = ? 2 25 = ? 2 = ? So, 5 = the missing length </li> <li> Slide 12 </li> <li> Q5. Are the triangles below, congruent, similar, totally different? Give a reason for your answer See Answer Back to quiz 50 Points </li> <li> Slide 13 </li> <li> Q5. These triangles are Similar Back to quiz 50 Points Theorem: If two triangles are similar, then their sides are proportional, in order. </li> <li> Slide 14 </li> <li> Q1. Find the missing angle. Give a reason for your answer. Back to quiz 10 Points See Answer </li> <li> Slide 15 </li> <li> Q1. Find the missing Angle. Give a reason for your answer Back to quiz 10 Points Theorem: Vertically opposite angles are equal in measure. 95 o </li> <li> Slide 16 </li> <li> Q2. Find the missing length in the parallelogram below. Give a reason for your answer. Back to quiz 20 Points See Answer ? </li> <li> Slide 17 </li> <li> Q2. Find the missing length in the parallelogram Back to quiz 20 Points 3 below. Give a reason for your answer. Theorem: The diagonals of a parallelogram bisect each other. </li> <li> Slide 18 </li> <li> Q3. Are the lines |a| and |b| below parallel? Give a reason for your answer Back to quiz 30 Points See Answer </li> <li> Slide 19 </li> <li> Q3. Are the lines |a| and |b| below parallel? Give a reason for your answer Back to quiz 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. Angles are NOT the same size </li> <li> Slide 20 </li> <li> Q4. Give 2 reasons why you can be sure the shape below is a parallelogram Back to quiz 40 Points See Answer </li> <li> Slide 21 </li> <li> Q4. 2 reasons why we can be sure this shape is a parallelogram. Back to quiz 40 Points 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 </li> <li> Slide 22 </li> <li> Q5. Find the values of x and y below. What theorem supports you answer? Back to quiz 50 Points See Answer X Y </li> <li> Slide 23 </li> <li> Q5. Find the values of x and y below. What theorem supports you answer? Back to quiz 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. </li> <li> Slide 24 </li> <li> Q1. Copy the shape and draw in the axis of symmetry See Answer Back to quiz 10 Points </li> <li> Slide 25 </li> <li> Q1. Copy the shape and draw in the axis of symmetry Back to quiz 10 Points 1 Axis of symmetry </li> <li> Slide 26 </li> <li> Q2. How many axes of symmetry does this shape have? See Answer Back to quiz 20 Points </li> <li> Slide 27 </li> <li> Q2. How many axes of symmetry does this shape have? Back to quiz 20 Points 2 Axis of symmetry </li> <li> Slide 28 </li> <li> Q3. Copy this shape and draw its reflection through the given line See Answer Back to quiz 30 Points T Line of Reflection </li> <li> Slide 29 </li> <li> Q3. Copy this shape and draw its reflection through the given line Back to quiz 30 Points T T Line of Reflection </li> <li> Slide 30 </li> <li> Q4. Copy this shape and draw its reflection through the given line See Answer Back to quiz 40 Points E Line of Reflection </li> <li> Slide 31 </li> <li> Q4. Copy this shape and draw its reflection through the given line Back to quiz 50 Points E Line of Reflection </li> <li> Slide 32 </li> <li> Q5. Copy this shape and draw its reflection through the Point D See Answer Back to quiz 50 Points A B C </li> <li> Slide 33 </li> <li> Q5. Copy this shape and draw its reflection through the Point D Back to quiz 50 Points A B C </li> <li> Slide 34 </li> <li> See Answer Back to quiz 10 Points 123 1 2 3 -2-3 -2 -3 0 0 A B Q1. Name the points A and B Y Axis X Axis </li> <li> Slide 35 </li> <li> Back to quiz 10 Points 123 1 2 3 -2-3 -2 -3 0 0 A B Q1. Name the points A and B (-3, 2) (2, -2) </li> <li> Slide 36 </li> <li> See Answer Back to quiz 20 Points 51015 (-10, 10) 10 15 -5-10-15 -5 -10 -15 0 0 5 (15,-10) Q2. Find the distance between Scooby and his snacks. Y Axis X Axis </li> <li> Slide 37 </li> <li> Back to quiz 20 Points 51015 (-10, 10) 10 15 -5-10-15 -5 -10 -15 0 0 5 (15,-10) Q2. Find the distance between Scooby and his snacks. Y Axis X Axis Scooby must walk 32units to get his yummy snacks! Yummy! </li> <li> Slide 38 </li> <li> See Answer Back to quiz 30 Points 246 4 6 -2-4-6 -2 -4 -6 0 0 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? </li> <li> Slide 39 </li> <li> Back to quiz 30 Points 246 4 6 -4-6 -2 -4 -6 0 0 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) Find the Mid Point (-1,0) -2 </li> <li> Slide 40 </li> <li> See Answer Back to quiz 40 Points 246 4 6 -2-4-6 -2 -4 -6 0 0 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 Fna a = 1/2 Fna b = -2 Think.. What do you know about perpendicular slopes? </li> <li> Slide 41 </li> <li> Back to quiz 40 Points 246 4 6 -2-4-6 -2 -4 -6 0 0 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 () x (-2) = -1 -1 = -1 Yes, we can say for a fact the lines are at right angles to each other. </li> <li> Slide 42 </li> <li> Back to quiz 50 Points Q5. The equation of a line is y = 2x + 4 Where will this line intersect the Y axis? See Answer </li> <li> Slide 43 </li> <li> Back to quiz 50 Points 246 4 6 -2-4-6 -2 -4 -6 0 0 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 line 2.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 The line cuts the y axis at (0,4) </li> <li> Slide 44 </li> <li> Back to quiz 10 Points Q1. Identify the hypotenuse in the triangle below. See Answer x y z </li> <li> Slide 45 </li> <li> Back to quiz 10 Points 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 </li> <li> Slide 46 </li> <li> Back to quiz 20 Points Q2. Postman Pat must travel 14 km to deliver the mail. Can you calculate a shorter distance? See Answer 8km 6km 90 o ? km </li> <li> Slide 47 </li> <li> Using the theorem of Pythagoras We can figure out that the shortest distance to the house is 10km (6) 2 + (8) 2 = (?) 2 36 + 64 = (?) 2 100 = (?) 2 100 = ? 10km = ? = Shortest Distance Back to quiz 20 Points Q2. Postman Pat must travel 14 km to deliver the mail. Can you calculate a shorter distance? 8km 6km 90 o 10km </li> <li> Slide 48 </li> <li> Back to quiz 30 Points Q3. Change the following decimal angle to Degrees, minutes and seconds See Answer 147.3715 o </li> <li> Slide 49 </li> <li> Back to quiz 30 Points Q3. Change the following decimal angle to Degrees, minutes and seconds 147.3715 degrees 0.3715 x 60 = 22.29 Ans = 147 o 22 17.4 </li> <li> Slide 50 </li> <li> Back to quiz 40 Points Q4. Change the following DMS angle to Degrees and decimals See Answer 89 o 41 18 </li> <li> Slide 51 </li> <li> Back to quiz 40 Points Q4. Change the following D o MS angle to Degrees and decimals 89 o 41 18 89 o = 89 o 41 x 1/60 =.683 18 x (1/60) x (1/60) =.005 Answer: 89.688 o </li> <li> Slide 52 </li> <li> Back to quiz 50 Points Q5. Find the angle x, that the ramp makes with the ground See Answer 90 o 4 metres 3 metres x </li> <li> Slide 53 </li> <li> Back to quiz 50 Points Q5. Find the angle x, that the ramp makes with the ground 90 o 4 metres 3 metres x Using tan x= opposite/adjacent Tan x = X = Tan -1 X = 36.86 o </li> <li> Slide 54 </li> <li> Q1. Find the missing angle below. Give a reason for your answer See Answer Back to quiz 100 Points ? </li> <li> Slide 55 </li> <li> Q1. Find the missing angle below. Give a reason for your answer Back to quiz 100 Points 140 o 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 </li> <li> Slide 56 </li> <li> Q2. Find the missing angle below. Give a reason for your answer Back to quiz 100 Points 140 o See Answer </li> <li> Slide 57 </li> <li> Q2. Missing angle = 26 o Back to quiz 100 Points 140 o Reason: 26 o. Each angle in a semi-circle is a right angle 90 o </li> <li> Slide 58 </li> <li> Q3. How high is the biker from the river surface? Back to quiz 100 Points See Answer 12 metres 8 metres 20 metres x Note: Assume triangle in diagram is a right angle triangle </li> <li> Slide 59 </li> <li> Q3. How high is the biker from the river surface? Back to quiz 100 Points 12 metres 8 metres 20 metres 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 </li> <li> Slide 60 </li> <li> Q4. Can Joe make a triangle from the 3 strips below? Give a reason for your answer. Back to quiz 100 Points See Answer 20 cm 8 cm 5 cm </li> <li> Slide 61 </li> <li> Q4. Can Joe make a triangle from the 3 strips below? Give a reason for your answer. Back to quiz 100 Points 20 cm 8 cm 5 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 </li> <li> Slide 62 </li> <li> Q5. Paul the Penguin is trying to catch some dinner. How long is his fishing line? Back to quiz 100 Points See Answer 80cm 1 m ? 90 o Fishing Line </li> <li> Slide 63 </li> <li> Q5. Paul the Penguin is trying to catch some dinner. How long is his fishing line? Back to quiz 100 Points 80cm 1 m ? 90 o Fishing Line There are many ways to figure this out, heres one example using Pythagoras: Remember 1m = 100cm </li> <li> Slide 64 </li> <li> 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 Teams 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 </li> </ul>

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