Dilations and Similarity
Fill in the blanks:
When a line is dilated, the image's slope will be __________ to the preimage's, which means the image and preimage are ______________.
equal, parallel
sin =
?/?
opposite over hypotenuse
The name of this symbol:
pi
pi
The size and shape of an object are________________ after a rigid motion.
preserved (or the same)
What is the distance around the edge of a circle called?
circumference
Fill in the blank:
Similar shapes have matching side lengths that are _______________, which means they have equal ratios.
proportional
Cos =
?/?
adjacent over hypotenuse
What is the value of pi, to the nearest hundredth?
3.14, which is why Pi Day is on 03/14. Pi is an irrational number that goes on forever.
Fill in the blank: After a dilation, the image and the original will be ________________
Similar
What is the top number in a fraction called?
The numerator
What are the 4 triangle similarity shortcuts?
SSS, SAS, HL, AA
tan =
?/?
opposite over adjacent
Fill in the blanks: The number pi is a ratio of the _____________ of a circle to the _____________ of that circle.
circumference, diameter
Name 3 rigid motions
What is the inverse operation of squaring a number?
Taking the square root of the number
example:
sqrt(9)
Circle A is dilated by a scale factor of 2, centered at point A. What is the ratio of Circle A's circumference to its diameter?
pi
Wild Card Question: Pi is a ratio of ______________ to ________________.
circumference to diameter
Fill in the blanks: The number pi is a ratio of _____________ to ______________.
the circumference of a circle, to the diameter of that circle.
Wild card question: How many times does the diameter of a circle fit into its circumference? Do not round your answer.
Pi times.
Fill in the blank:
A ______________ is a line segment that has its endpoints on the edge of a circle, and goes through the center of the circle.
diameter
Fill in the blanks:
The ratio of Circle L's circumference to its diameter is _____.
The ratio of Circle M's circumference to its diameter is _____.
This means that Circle L and Circle M are __________, because matching lengths have equal ratios.
pi, pi, similar
In triangle FGH, the measure of angle F is 90 degrees, and the measure of angle G is 20 degrees. What is the measure of angle H?
180-90-20 = 70 degrees
How many diameters of a circle will fit into its circumference?
Round your answer to the nearest hundredth.
3.14
(The exact answer is pi, which goes on forever.)
Wild Card Question: Pi is a ratio of ______________ to ________________.
circumference to diameter
Wild Card Question: Fill in the numerator and denominator of the following ratio.
pi = ?/?
numerator = circumference
denominator = diameter