Scale Factors
Triangles
Circles
Means
Misc.
100
What does a scale factor do to a shape?
Does not change a shape but makes it bigger or smaller
100
What is the Area formula for a triangle?
A = 1/2bh
100
What is the area formula for a circle?
A = pi r squared
100
What is the mean of numbers?
Average
100
A circle adds up to how many degrees?
360 degrees
200
If you scale a rectangle that has width of 6 inches and length of 14 inches by 3 what are the dimensions of the scaled rectangle?
18 inches by 42 inches
200
What is the pythagorean theorem?
a squared + b squared = c squared
200
What is the formula for circumference of a circle?
C = 2 pi r
200
When is the arithmetic mean used and what is its formula?
Can be used to find the average of a group of numbers, the formula is (a + b)/2
200
A straight line adds up to how many degrees?
180 degrees
300
How do you know by looking at the scale factor whether or not the scaled figure will get bigger or smaller?
If the scale factor is greater than 1 the shape will get bigger, if the scale factor is less than 1 the shape will get smaller.
300
What is the Pythagorean Theorem used for and how do you know which side is which letter?
It is used to find the missing side length of a triangle, and c is always the hypotenuse.
300
What is the radius and diameter of a circle?
The radius is half of the diameter and diameter is the distance across the center of the circle.
300
What is the geometric mean used to find and what is the formula?
Can be used to find the height of two triangles and the formula is c = square of ab
300
Name 5 perfect squares
4, 16, 25, 36, 49, 64, 81, 100
400
If an original square has a side length of 40 and the scaled rectangle has a side length of 8, what is the scale factor?
1/5
400
What is the hypotenuse?
Longest side of a triangle, across from the right angle
400
If a major arc is 245 degrees, what is the measure of the arc covering the remainder of the circle?
115 degrees
400
Find the arithmetic mean of 27 and 18.
22.5
400
The square root of 45 simplifies to what?
2 square roots of 10
500
A blue print for a house has a scale of 1:50. A wall in the blue print is 5 in. What is the length of the actual wall (in feet)?
20.8 feet
500
If a triangle has one 35 degree angle and one 46 degree angle, what is the third angle?
99 degrees
500
Describe the difference between a central angle and an inscribed angle.
In a central angle the vertex is in the center of the circle, for an inscribed angle, the vertex is on the outline of the circle.
500
Find the geometric mean of 28 and 39.
8.19
500
Describe the difference between an acute angle, a right angle, and an obtuse angle.
Acute is less than 90 degrees Right is equal to 90 degrees Obtuse is greater than 90 degrees