Reasoning
Rates/Proportions
Angle Properties
Acute Triangle Trig
Obtuse Triangle Trig
100
True or False…
Deductive reasoning is starting with a general assumption known to be true and, through logical reasoning, drawing a conclusion
True
100
What is the difference between rate and unit rate?
You can use an example.
Rate is comparison of two amounts measured in different units. (250 words/8min)
Unit rate the second term is 1. (100 words/min)
100
The sum of the measures of the interior angles of a
triangle is _____
180
100
Determine the unknown measures.
w = 7.1
100
Determine two angles between 0°and 180° that have the sine ratio 0.64
40 and 140
200
Make a conjecture about the sum of one odd integer and one even integer.
Give an example.
The sum of one odd integer and one even integer will result in an odd integer.
Example:
200
A 2 L carton of milk costs $3.26. What is the unit rate?
$1.63/L
200
A line that intersects two or more lines is a ______
Transversal
200
Determine the unknown measures.
M = 34.8
200
Determine side m to the nearest cm.
15 cm
300
What is the transitive property? Give an example.
If a = b and b = c, then a = c. If a is related to b by some property, and b is related to c by the same property, then a is related to c by that property.
300
Juice is sold in 2L cartons for $4.25 or 12 250ml boxes for $8.35, which is the better deal?
2L carton
$0.002125 per ml
300
Determine the measure of each indicated angle.
A = 75
B = 105
C = 105
D = 105
300
A triangle has angles measuring 80°and 55°. The side opposite the 80° angle is 12.0 m in length.
Determine the length of the side opposite the 55°angle to the nearest tenth of a metre.
10
300
Determine the unknown angles to the nearest tenth. (Remember m=15)
L = 46.2
N = 28.8
400
Jarrod discovered a number trick in a book he was reading and made the conjecture: The # you start with is the # you end with.
Choose a number.
Double it. Add 6.
Double again.
Subtract 4.
Divide by 4.
Subtract 2.
Prove he is right deductively.
n
2n
2n+6
4n+12
n+2
n
400
It takes 4 h 26 min to fill a 3600 L water tank. How long will it take to fill a 1700L tank to the nearest min?
126min
or
2hrs 6min
400
Determine angle A
A = 30
400
A crane stands on top of a building as shown.
How far is the point on the ground from the base of the building, to the nearest tenth of a metre?
43.2 m
400
Determine the number of triangles, if any, that can be drawn having the given dimensions.
State the height of the triangle.
h = 9.3
2 triangles
500
Prove that the difference between the square of any odd integer and the integer itself is always an even integer.
(2x+1)2-(2x+1)
4x2+4x+1 -(2x+1)
4x2+2x=
2(2x2+x)
500
Triangle A is 42 cm wide and 20 cm high.
Triangle B is 7 cm wide and similar to triangle A.
Determine the scale factor by which triangle A was reduced to form triangle B.
1/6 or 1:6
500
Determine the values of a,b,c,and d.
a=140
b=20
c=60
d=60
500
A parallelogram has adjacent sides that are 12.0 cm and 20.0 cm long. The angle between these sides is 30°. Determine the length of the shorter diagonal to the nearest tenth of a centimetre.
11.3 cm
500
In ∆UVW, <U = 87°, u = 13.8 cm, and v = 7.9 cm.
How many triangles with the given measurements are possible?
Draw the SOLVED triangle(s).
Rounds sides to nearest tenth and degrees to nearest degree.
Yes.
1 Triangle
