A comparison of two quantities using division
What is a ratio?
Th 7.1
If two polygons are similar, then their perimeters are _________________ to the scale factor between them.
What is "proportional"?
The number of midsegments for every triangle
What is 3?
If AB = 10, BC = 15, and DE =12, EF = ____
What is 18?
A dilation with a scale factor greater than 1 is called a(n) _______________.
What is an enlargement?
An equation stating that two ratios are equal
What is a proportion?
P 7.1
If two angles of one triangle are congruent to two angles of another triangle, then ________________________________.
What is "the triangles are similar"?
The location of the endpoints of a midsegment
What is the midpoints of two sides of the triangle?
If AB = BC, then EF = ______
What is DE?
A dilation with a scale factor between 0 and 1 producing a smaller image than the original is called a(n) _______________.
What is a reduction?
In a proportion, the product of the extremes equals the product of the means
What is the Cross Products Property?
Th 7.2
If the corresponding side lengths of two triangles are _______________, then the triangles are similar.
What is "proportional"?
A midsegment is always _________ to one side of the triangle.
DOUBLE JEOPARDY
What is parallel?
If AM = 24, AB = 30, and PQ=40, then PN = ______
What is 32?
What is 1:168 ?
Polygons that have the same shape, but not necessarily the same size
What are similar polygons?
Th. 7.3
If the lengths of two sides of one triangle are proportional to the lengths of two corresponding sides of another triangle and the included angles are _____________, then the triangles are similar.
What is "congruent"?
The length of a midsegment is _________ the length of the side of the triangle to which it is parallel.
What is half?
If AB = 15, AC = 16, DE = 25, AP =12, find DQ.
DOUBLE JEOPARDY
What is 20?
If the distance from Greenville to Kinston is 24.3 miles and a map uses a scale factor of
1 cm = 3 miles, what is the distance on the map?
What is 8.1 cm?
The ratio of the lengths of the corresponding sides of two similar polygons
What is the scale factor?
Th 7.5
If a line is ____________ to one side of a triangle and intersects the other two sides, then it divides the sides into segments of ________________ lengths.
DOUBLE JEOPARDY
What is "parallel" and "proportional"?
If a midsegment is 24 inches long, then the side of the triangle that it is parallel to is _________ inches long.
What is 48?
If m = 14, n = 10, and b = 15, find c.
What is 21?
If a statue measuring 3 feet wide and 23 feet tall is to be drawn smaller on an index card measuring 4 inches by 6 inches, what is a good scale for the scale drawing?
DOUBLE JEOPARDY
What is 1 inch: 4 feet ?