Unit Conversions
Similarity Terminology
Similar Triangles
Probability
100
Fill in the blanks:
a) 40 cm is __________ mm
b) 0.0035 kilowatts is ____________ watts
a) 400 mm
b) 3.5 watts
100
Fill in the blanks:
a) Similar figures have ______________ sides
b) Similar figures have ______________ angles
a) Proportional
b) Congruent
100
Triangle ABC~Triangle DEF
AB=4 cm, AC=7cm, BC=6cm
DF=12cm
What is the length of DE? Round to nearest 10th
6.9 cm
100
When it says an object is "replaced" which does it mean?
a) the object is put back in the pool
b) the object is kept out of the pool
a
200
Write the rate as a unit rate. round to the nearest 10th if necessary:
45 kg / 8 ft^2
5.6 kg /ft^2
200
What do the symbols mean on the figures?
a) tick marks on the line segments
b) arcs on the angles
a) congruent line segments
b) congruent angles
200
A drone is hovering above a straight road and casts a shadow on the ground. At the same time, a 6-ft tall student standing on the road casts a 4-ft shadow. The shadow of the drone reaches 28 ft from the point directly below it.
Assuming the sun’s rays create similar triangles, how high above the ground is the drone?
42 ft
200
A spinner has 3 equal sections labeled A, B, and C. A fair six-sided die is rolled.
What is the probability of landing on B and rolling a number greater than 4?
1/9
300
Convert to 8 kg / m^2 to lbs / ft^2. Round to the nearest 10th.
Conversions:
1kg = 2.2 lbs
1m = 3.3 ft
1.6 lbs / ft^2
300
Write down all corresponding sides and angles using proper notation
AB & PQ
CB & QR
AC & PR
∠A & ∠P
∠B & ∠Q
∠C & ∠R
300
Solve for x given Triangle MAB ~ Triangle MAL
11
300
A bag contains 4 red beads and 6 blue beads. One bead is drawn, replaced(put back into the bag), and then another bead is drawn.
What is the probability of drawing two blue beads?
9/25
400
Solve using an equation.
180 liters
400
What do each of these symbols mean?
a) =
b) ≅
c) ~
d) ≈
a) Equals - the same numerical value
b) congruent - shapes are same shape, same size
c) similar - shapes are proportional
d) approximately - used for approximating numbers using rounding
400
Find the length of AE
AE=5cm
400
A jar contains 5 green marbles, 3 yellow marbles, and 2 purple marbles. Two marbles are drawn without replacement.
What is the probability that the first marble is yellow and the second marble is purple?
1/15
500
A photographer is standing on level ground 40 meters from a building. She holds her camera 1.6 meters above the ground and measures the angle so that the top of the building lines up with the top of a 2-meter-tall tripod that is placed 8 meters in front of her.
Assuming the triangles formed are similar, how tall is the building?
3.6m
500
A student flips a coin, rolls a six-sided die, and spins a spinner with 4 equal sections numbered 1–4.
What is the probability of flipping heads, rolling an odd number, and spinning a number less than 3?
1/8