Crazy Corresponding Parts
Triangle Similarity Postulates
Creating Precious Proportions
Super-Solving Proportions
Cross-Product Chaos
Midsegment
Madness
Madness
100
In the image pictured, angle B is congruent with what angle in triangle PQR?
Angle Q
100
Fill in the blanks.
Corresponding _____(1)_____ of similar figures are congruent. Corresponding sides of similar figures are _____(2)______.
(1) angles
(2) proportional
100
triangleABC ~ triangleDEF
Given Create a proportion to solve for x. You do not need to solve the proportion.
7/14 = 6/x
14/7 = x/6
100
▲ABC was dilated to form ▲XYZ, what is the scale factor?
k= "image"/"pre-image"
k=3
100
Is the following proportion correct?
3/11 = 6/20
No,
3/11 = 0.2727...
6/20 = 0.3
100
Is PQ a midsegment? Explain.
No, the split portions are not congruent. (Doesn't connect two midpoints)
200
In the above picture, side AC corresponds to what side in triangle XYZ?
Side ZX or Side XZ
200
Are the triangles are similar? If so, by what postulate and write the similarity statement.
Triangle BCA ~ Triangle ECD by SAS~
200
At noon, a tree casts a shadow that is 24 ft long. A nearby wall that is 4 ft tall casts a 6ft shadow. Create a proportion to find the height of the tree.
x/4 = 24/6
4/x = 6/24
200
triangleABC is dilated by a scale factor of 3/2 to get triangle XYZ . What is the length, in units, of XY?
XY is 13.5 units.
200
Is the following proportion correct?
28.8/1.8 = 12.8/0.8
Yes,
28.8/1.8 = 16
12.8/0.8 = 16
200
Is PQ a midsegment? Explain
Yes,
P and Q are midpoints
BP = AP and AQ = CQ
300
In the above picture, side DE corresponds to what side in triangle ABC?
Side AB
300
In the picture above DE // AC. Are the two triangles similar? If so, by what postulate and write the similarity statement for these two triangles.
Triangle ABC ~ Triangle DBE by AA~
300
Create a proportion to solve for x.
(x+5)/15 = (5x+1)/35
15/(x+5) = 35/(5x + 1)
15/(x+20) = 35/(5x + 36)
300
The two triangles shown above are similar. Find the length of QR.
x = 8, so QR = 42
300
Solve for x.
12/7 = x/21
x = 36
300
Given PR = 24, what is the length of ST?
ST = 12
Midsegment Theorem
400
In the picture above, side TY corresponds to what side?
Side YW or WY
400
Are the two triangles similar? If so, by what postulate, and write the similarity statement for these two triangles.
Yes, AA~
Triangle AMS ~ Triangle RIT
400
If AB ||DC, determine if the tringles Similar? If so, by what postulate and then solve for x.
AA~, x=10
400
Solve the proportion (x-8)/x = 2/5
x=13.33
400
Solve for x.
2/5 = 30/3x+9
x = 22
400
Given mangleUST = 55^o, what is mangleSUR?
mangleSUR = 125^o
500
In the picture above, side d corresponds to what other side?
100 ft
500
Determine if any triangles above are similar. If so, by what postulate and write the similarity statement for the triangles.
Triangle ABC ~ Triangle GIH by SSS~
500
Create a proportion to solve for x. [Hint: draw 3 separate similar triangles.]
6/x = x/3
500
triangleABC ~ triangleEDC Use proportions to find how far away the boat is from shore.
x = 440 ft
500
Solve for x.
x/7 = 2+x/21
x = 1
500
TR = 14
x = -9
TR = -9 + 23 = 14