Mary is five feet tall. She casts an 84 inch shadow. Her friend's shadow is 1'2" shorter than Mary's shadow. How tall is Mary in inches? How tall is Mary's friend in feet?
What is "60 inches and 50 ft"
100
On a certain map, 5 inches represents 8 miles. A river on a map is 6 inches long. How long is the real river?
What is "48/5 or 9.6 miles"
100
What are the three shortcuts for proving triangles similar
What is "AA, SSS~, SAS~"
100
Two squares are (sometimes/always/never) similar
What is "always"
100
The ratio of the number of dimes to nickels in a pile is 3:4. Find the number if dimes if the pile contains 20511 coins.
What is "879 dimes"
200
A quadrilateral has perimeter 20 cm. Its sides are in the ration 15:12:7:6. Find the length of the shortest side
What is "3 cm"
200
x+3 / 2 = 2x-1 / 3
What is "x=11"
200
Two polygons are similar if...
What is "corresponding angles are congruent and corresponding sides and proportional"
200
a right triangle with a 20 degree angle is (sometimes/always/never) similar to a right triangle with a 70 degree angle
what is "always"
200
On a map 5 inches represents 3 miles.
(A) Suppose that the map shows a 12 inch river. How many miles long is the river?
(B) How long would a 16 mile road be on the map?
(A) What is "7.2 miles"
(B) What is "26.67 miles"
300
Kyle is outside with his brother Cole. Cole is 1 foot taller than Kyle. The length of Cole's shadow is 3 feet more than Cole's height. The length of Cole's shadow is 2 feet longer than Kyle's shadow. Let Cole's height be "x" feet. What is Kyle's height in terms of x? What is the length of Cole's shadow in terms of x? Kyle's shadow?
What is "x-1 and 3x and 3x-2"
300
Suppose that the ratio of the areas of two similar triangles is 49/100. What is the ration of their sides?
What is "7/10"
300
Angle bisector theorem: consider a triangle ABD, if C is on BD so that AC bisects angle A then...
What is "angle CAD= angle CAB"
300
a right triangle with a 20 degree angle is (sometimes/always/never) similar to an isosceles triangle with a 20 degree angle.
What is "never"
300
S - R:
1. AB ll CD - 1. Given
2. <3 = <4 - 2. ____
3. <__ = <__ - 3. Alt.
What is:
2. vert < thm
3.
400
Michelle is 5ft 3in tall. She casts a shadow of 4 ft. She is near a tree with an 18 ft 8 in shadow. How high is the tree?
What is "294 in"
400
2x+1 / 2 = x+2 / 5
What is "x= -1/8"
400
A line drawn through a triangle parallel to one side will...
What is "divide the other 2 sides proportionally"
400
a right triangle with a 45 degree angle is (sometimes/always/never) similar to an isosceles triangle with a 45 degree angle
What is "sometimes"
400
A right triangle has sides 24cm, 32cm, and 40cm. A similar triangle has perimeter 72cm.
(A)Find the scale factor.
(B) Find each side of the second triangle.
What is:
(A) 4:3
(B) 18, 24, 30
500
Tim is 6 ft tall. It is a nighttime and he is near a 20-foot tall streetlight. His shadow from the streetlight is 4 feet long. How far from the light is time?
What is "1.2 ft"
500
The angles in a hexagon are in the ratio 10:13:13:18:22:24. Find the smallest angle.
What is "72"
500
Three or more parallel lines will cut any transversal...
What is "proportionally"
500
a c
-- = --
b d , then b is (sometimes/always/never) equal to d
What is "sometimes"
500
If the ratio of boys to girls in a class is 8:5 and there are 24 boys in the class, how many kids are in the class?