Ratios
Proportions
Parallel Lines and Proportional Parts
Side Splitter Theorem
Triangle Midsegments
AA Similarity
Grab Bag
100
What is a ratio?
A ratio is a comparison of two quantities.
100
What is a proportion?
Two ratios that equal each other.
100
Find the missing side length:
? = 14
100
Find x:
x = 3
100
A midsegment of a triangle is a line segment that connects the ____________ of two sides of a triangle.
midpoints
100
What does the "AA" stand for when we talk about "AA Similarity"?
"Angle Angle"
100
The ratios of the lengths of the corresponding sides of two similar polygons is called:
The scale factor
200
Give an example of a ratio that is equal to 4:5
8:10 or 12:15 or 16:20 etc.
200
Solve for x:
200
Find x:
x=8
200
Use the Side Splitter theorem to set up a proportion:
AD/DB = AE/EC
BD/DA = CE/EA
200
Find x. 
x=25.5
200
Are these triangles similar by AA Similarity? Explain. 
Yes since angle P is congruent to angle L and angle PMN is congruent to angle KML, then the triangles are similar by AA similarity.
200
What is the difference between similar polygons and congruent polygons?
Similar polygons have congruent corresponding angles but proportional sides.
Congruent polygons have congruent corresponding angles and sides.
300
Joshua goes to the grocery store and finds that it cost $4.29 for a 12oz bag of chips. Find how much it costs for each oz. (Find the unit rate; round to the nearest hundredth.)
$4.29/12oz = $.36/oz
300
Solve for x. 
300
Find x.
x=5
300
Solve for x. 
We cannot find x since we do not know if line segments DE and BC are parallel.
300
If HA = 5x-10 and AG = 4x+3, find AG.
55
300
Explain why all equilateral triangles are similar by AA Similarity.
Equilateral triangles are similar by AA Similarity because two equilateral triangles will always have 3 pairs of congruent angles (60 degrees each), and since we only need two pairs of congruent angles for AA Similarity, equilateral triangles will always be similar by AA Similarity.
300
Find x if both polygons are similar:
x = 2
400
The ratio of boys to girls in a school is 5:4. The total number of students is 810. Find the number of girls in the school.
Set up an equation:
5x+4x=810
9x=810
x=90
4(90) = 360 girls
400
No solution.
400
Find x and y:
x = 10
y = 3
400
Find x:
x = 10
400
If AB = 4x + 2 and GJ = 6x+12, find AB.
AB = 18
400
Are these triangles similar by AA Similarity? Explain.
Yes since angle C is congruent to itself (reflexive POC) and angles A and CED are congruent (corresponding angles), then the triangles are similar by AA Similarity.
400
Angle Z is congruent to angle C:
1. Are these triangles similar? Why or why not?
2. If they are similar, tell me which triangle is similar to which.
Yes; two angles of XZY are congruent to two angles of ACB, so the triangles are similar by AA similarity.
Triangle XZY is similar to triangle ACB.
500
The exterior angles of a quadrilateral are in the ratio 2:3:4:5. Find the measure of the largest angle.
Set up an equation:
2x+3x+4x+5x=360
12x=360
x=30
5(30)=150
500
Solve for x. 
x equals plus or minus 3/4
500
Find x+y.
x = 48, y = 72, so x+y=120
500
Find the value of x3:
x3=125
500
If CA = 6x2 + 10 and HJ = 8x2 + 36
x equals plus or minus 2.
500
State the AA Similarity Postulate.
The AA Similarity Postulate says:
"If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar."
500
Scale Factor: 2
MNPQ perimeter: 34
XYZW perimeter: 17