Congruent figures
what is the def of congruent
same shape different sizes
Triangle ABC is similar to triangle DEF . If AB = 6 , BC= 8 , and AC =10 , and DE =9 , what is the scale factor ?
The scale factor is DE/AB = 9/6 = 3/2 .
In triangle ABC , angle A is 35 degrees , side b=12 cm (opposite angle B ) and side c = 14 cm .
We use the law of sines ; A/ sin A = B/ sinB = c/SinC
what is the formula for area?
volume = LxWXH
what is the probability if you flip coin and it lands on tails
1/2
If △ABC ≅ △PQR, then which angle will be congruent to∠ R?
∠C
How do you set up proportions of similar figures?
You use the ratios of their lengths.
whats the ratio of sin?
opp/hyp.
How do you find volume of a 3D box?
Calculate the amount of space it occupies, by multiplying length ,width and height
The probability of rolling a die and landing on 7 is?
0
True or false congruent figures can be rotated
True
are all congruent figures also similar ?
yes , congruent figures are a special type of similar figures where the scale factor is 1 ( same size and shape )
If you have adj over hyp what is your trig?
cos
How do you determine area of a rectangle?
Length times width (LxW)
A deck of uno cards have 150 cards there are 30 greens,30 reds,30 yellows and 30 blues and 30 black cards what is the probability I would pull a yellow
3/5
how many congruent formulas are there
3
using the above scale factor ( 3/2 ) , what is the length of EF ( corresponding to BC ) ?
multiply BC by the scale factor ; EF = 8 x 3/2 = 12
what is the sin of 30 degrees
1/2
What is the formula to find surface area of a sphere?
4 pi r^2
In a carton of mangoes, the probability of a mango being rotten is 0.2. if 5 mangoes were rotten find the total number of mangoes in the carton?
25
what type of transformation does not preserve congruent
Dilation
Which two figures will always be similar?
Two equilateral triangles
what is sin over cos
tangent
A cylindrical water tank has a radius of 4 meters and a height of 10 meters, what would the surface area be?
SA=πr²+2 πr
plug in values...SA~112 x 3.1416~351.86m2
we know a leap year has 366 days find the probability of a leap year having 53 sundays
2/7