Jeopardy Powerpoint (math 20: Angles And Polygons)
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Presentation © 2001 - All rights Reserved [email protected]
Round 1
$100
Final Jeopardy
$500
$0
Copying Angles
Similar Definitions Proofs Polygons
Surface Area/
Potpourri
Volume
$100 $100
$100
$100 $100
$100
$200 $200
$200
$200 $200
$200
$300 $300
$300
$300 $300
$300
$400 $400
$400
$400 $400
$400
$500 $500
$500
$500 $500
$500
Math 20: Angle s and Polyg on Revie w
$100
How do you copy one side length of a triangle?
$100 Draw a straight line longer than the length you will copy. Label a point on the line that will be one endpoint. Extend your compass to the desired length to be copied and transfer that
Scores
$200
How can you create a line perpendicular to another?
$200
A
B
Extend your compass past the midpoint of the line AB. From one endpoint, do not change the compass length, draw an arc above the line. From the other endpoint draw an arc on top of the line. Where the two lines intersect use a straight edge to connect that point to the line AB. Scores
$300 How would you copy the given angle?
$300
Scores
$400
How would you bisect this given angle?
$400
Scores
$500
Explain how to copy a given triangle. *Come up to the board if you wish.
$500
Scores
$100 These are the two characteristics that all similar objects have.
$100
What are equal angles and proportional sides?
Scores
$200 This is why the following two equilateral triangles are equal. 8cm 3cm
$200
All equilateral triangles are similar because they have equal angles and proportional sides.
Scores
$300 This is the reason we know the following two squares are similar.
$300 All squares are similar.
Scores
$400 If the two objects are similar this is the length of the shadow produced by the second tree.
10 cm 5 cm 16 cm
?
$400
What is 6 m?
Scores
$500 Are the following polygons similar? 15cm 10 cm 12 cm
12 cm 8 cm 9 cm
8 cm 7 cm
$500
Nope, they sure aren't.
Scores
$100
These are the properties of a bisector.
$100
A line or plane that cuts an angle, line, or plane in half.
Scores
$200
These are the properties of a right triangle. Scores
$300
Explain vertically opposite angles.
$300
1 1
<1=<1 Scores
$400
plain the hypotenuse leg postula
$400
In a set of right angle triangles if we know the hypotenuses and one set of the legs are congruent then the triangles are congruent as well. Scores
$500
What relationships exist between scale factor, surface area, and volume?
$500
Scale factor: a:b Surface 2 2 Area:a :b 3 3 Volume: a :b Scores
$100
These are the headings of the columns in a two column deductive proof?
$100
What is a statement and a proof?
Scores
$200
In a two column deductive proof we always state these first.
$200
What is the given?
Scores
$300
When provided with diagrams and information we should not only put the given in our two column deductive proof but we should also put it here.
$300
What is the mark the diagram?
Scores
$400
This postulate can be used to prove these two triangles are congruent.
$400
What is the hypotenuse leg postulate?
Scores
$500 1
2
1
2
This postulate can be used to prove these two triangles are similar. Explain how it satisfies that postulate.
$500
What is AAS? We can tell this because <1=<1, <2=<2, and the reflexive property.
Scores
$100
This is the definition of a scale factor.
$100
What is the ratio of the lengths of corresponding sides of two polygons?
Scores
$200
This is the ratio of surface areas between the two cubes. 5
2
$200
What is 25:4?
Scores
$300
These are the surface areas if the volumes of two substances are 1000 and 64.
$300
What is 100 and 16?
Scores
$400
If the scale factor of two objects is 1:4 this is what the ratio 1: 64 represents.
$400
What is volume?
Scores
$500
In two solids with corresponding volumes of 125:27 this is the surface area ratio and the scale factor of the two solids.
$500
What is 25:9 and 5:3?
Scores
$100
This postulate states that if two sets of angles in two triangles are the same then the triangles will be similar
$100
What is the AA Similarity Theorem?
Scores
$200
This is the difference that exists between the angles of a 3 sided to a 4 sided polygon.
$200
What is 180° to 360°?
Scores
$300 Can these two triangles be proven congruent?
$300 No, although we have a reflexive side a common angle and another side they must be corresponding sides. Scores
$400 This is the length of the large triangle. 10 cm 4 cm 12 cm
$400
What is 30 cm? (10)(12) 4
Scores
$500 This is how we know
E
$500
What is alternate interior angles are congruent?
Scores
Polygon Proofs
Scores
Final Jeopary Question
As a team complete the following two column deductive Given: IK is perpendicularproof. to HJ ∆ HIJ is isosceles Prove: HK H = KJ H
K J
I
• Statements
• Proof
1. ∆ HIJ is isosceles 2. IK=HJ
1. Given 2. Given
3.
3. Def'n of perpendicular 4. Def'n of perpendicular
5.
5. Right angles are
7. HI=JI 8. ∆HKI = ∆JKI
6. Reflexive property 7. Def'n of isosceles ∆
9. HK = KJ
8. HL 9. CPCTC
congruent
Scores
Presentation © 2001 - All rights Reserved [email protected]
Round 1
$100
Final Jeopardy
$500
$0
Copying Angles
Similar Definitions Proofs Polygons
Surface Area/
Potpourri
Volume
$100 $100
$100
$100 $100
$100
$200 $200
$200
$200 $200
$200
$300 $300
$300
$300 $300
$300
$400 $400
$400
$400 $400
$400
$500 $500
$500
$500 $500
$500
Math 20: Angle s and Polyg on Revie w
$100
How do you copy one side length of a triangle?
$100 Draw a straight line longer than the length you will copy. Label a point on the line that will be one endpoint. Extend your compass to the desired length to be copied and transfer that
Scores
$200
How can you create a line perpendicular to another?
$200
A
B
Extend your compass past the midpoint of the line AB. From one endpoint, do not change the compass length, draw an arc above the line. From the other endpoint draw an arc on top of the line. Where the two lines intersect use a straight edge to connect that point to the line AB. Scores
$300 How would you copy the given angle?
$300
Scores
$400
How would you bisect this given angle?
$400
Scores
$500
Explain how to copy a given triangle. *Come up to the board if you wish.
$500
Scores
$100 These are the two characteristics that all similar objects have.
$100
What are equal angles and proportional sides?
Scores
$200 This is why the following two equilateral triangles are equal. 8cm 3cm
$200
All equilateral triangles are similar because they have equal angles and proportional sides.
Scores
$300 This is the reason we know the following two squares are similar.
$300 All squares are similar.
Scores
$400 If the two objects are similar this is the length of the shadow produced by the second tree.
10 cm 5 cm 16 cm
?
$400
What is 6 m?
Scores
$500 Are the following polygons similar? 15cm 10 cm 12 cm
12 cm 8 cm 9 cm
8 cm 7 cm
$500
Nope, they sure aren't.
Scores
$100
These are the properties of a bisector.
$100
A line or plane that cuts an angle, line, or plane in half.
Scores
$200
These are the properties of a right triangle. Scores
$300
Explain vertically opposite angles.
$300
1 1
<1=<1 Scores
$400
plain the hypotenuse leg postula
$400
In a set of right angle triangles if we know the hypotenuses and one set of the legs are congruent then the triangles are congruent as well. Scores
$500
What relationships exist between scale factor, surface area, and volume?
$500
Scale factor: a:b Surface 2 2 Area:a :b 3 3 Volume: a :b Scores
$100
These are the headings of the columns in a two column deductive proof?
$100
What is a statement and a proof?
Scores
$200
In a two column deductive proof we always state these first.
$200
What is the given?
Scores
$300
When provided with diagrams and information we should not only put the given in our two column deductive proof but we should also put it here.
$300
What is the mark the diagram?
Scores
$400
This postulate can be used to prove these two triangles are congruent.
$400
What is the hypotenuse leg postulate?
Scores
$500 1
2
1
2
This postulate can be used to prove these two triangles are similar. Explain how it satisfies that postulate.
$500
What is AAS? We can tell this because <1=<1, <2=<2, and the reflexive property.
Scores
$100
This is the definition of a scale factor.
$100
What is the ratio of the lengths of corresponding sides of two polygons?
Scores
$200
This is the ratio of surface areas between the two cubes. 5
2
$200
What is 25:4?
Scores
$300
These are the surface areas if the volumes of two substances are 1000 and 64.
$300
What is 100 and 16?
Scores
$400
If the scale factor of two objects is 1:4 this is what the ratio 1: 64 represents.
$400
What is volume?
Scores
$500
In two solids with corresponding volumes of 125:27 this is the surface area ratio and the scale factor of the two solids.
$500
What is 25:9 and 5:3?
Scores
$100
This postulate states that if two sets of angles in two triangles are the same then the triangles will be similar
$100
What is the AA Similarity Theorem?
Scores
$200
This is the difference that exists between the angles of a 3 sided to a 4 sided polygon.
$200
What is 180° to 360°?
Scores
$300 Can these two triangles be proven congruent?
$300 No, although we have a reflexive side a common angle and another side they must be corresponding sides. Scores
$400 This is the length of the large triangle. 10 cm 4 cm 12 cm
$400
What is 30 cm? (10)(12) 4
Scores
$500 This is how we know
E
$500
What is alternate interior angles are congruent?
Scores
Polygon Proofs
Scores
Final Jeopary Question
As a team complete the following two column deductive Given: IK is perpendicularproof. to HJ ∆ HIJ is isosceles Prove: HK H = KJ H
K J
I
• Statements
• Proof
1. ∆ HIJ is isosceles 2. IK=HJ
1. Given 2. Given
3.
3. Def'n of perpendicular 4. Def'n of perpendicular
5.
5. Right angles are
7. HI=JI 8. ∆HKI = ∆JKI
6. Reflexive property 7. Def'n of isosceles ∆
9. HK = KJ
8. HL 9. CPCTC
congruent
Scores
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