Crazy Corresponding Parts
Triangle Similarity Postulates
Creating Precious Proportions
Super-Solving Proportions
Cross-Product Chaos
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
Create a proportion to solve for x. You do not need to solve the proportion.
Multiple answers are accepted.
100
▲ABC was dilated to form ▲XYZ, what is the scale factor?
k= "image"/"pre-image"
k=3
100
Use the cross-product to see if the following ratio forms a proportion.
3/11 = 6/20
No, 60 does not equal 66
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.
Multiple answers are accepted.
200
The similar triangles shown above represent a dilation. The scale factor used to obtain ABC was 3/2, What is the length, in units, of XY?
XY is 6 units.
200
Use the cross-product to see if the following ratio forms a proportion.
28.8/1.8 = 12.8/0.8
Yes, 23.04 = 23.04
300
In the above picture, the longest side of triangle DEF, 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.
Multiple answers are accepted.
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
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~ or SAS~, or SSS~
Triangle DEF ~ Triangle ABC
400
If AB ||DC, determine if the tringles Similar? If so, by what postulate and then solve for x.
AA~, x=10
400
A school building that is 50 ft tall casts a shadow that is 25 ft. Jessica's shadow is 3 ft. How tall is Jessica?
Jessica is 6 ft tall
400
Solve for x.
2/5 = 30/3x+9
x = 22
500
In the picture above, side d corresponds to what other side?
100 ft
500
Determine if any triangles above are similar, round any proportion to the nearest hundredth. If they are similar, write the similarity statement for the triangles and what postulate (AA, ASA, SSS) you used.
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
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