In the image pictured, angle B is congruent with what angle in triangle PQR?
Angle Q
Fill in the blanks.
Corresponding _____(1)_____ of similar figures are congruent. Corresponding sides of similar figures are _____(2)______.
(1) angles
(2) proportional
Create a proportion to solve for x. You do not need to solve the proportion.
Multiple answers are accepted.
Use proportions to solve for AC
AC = 5
Use the cross-product to see if the following ratio forms a proportion.
3/11 = 6/20
No, 60 does not equal 66
In the above picture, side AC corresponds to what side in triangle XYZ?
Side ZX or Side XZ
Write the similarity statement for the two triangles above.
Triangle BCA ~ Triangle ECD
Create a proportion to solve for x. Hint: Use geometric mean.
6/x = x/3
The similar triangles shown above are measured in units. The ratio of Triangle ABC to Triangle XYZ is 2:3. What is the length, in units, of XY?
XY is 13.5 units
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
In the above picture, side DE corresponds to what side in triangle ABC?
Side AB
In the picture above DE // AC, thus making these two triangles similar. Write the similarity statement for these two triangles.
Triangle ABC ~ Triangle DBE
Create a proportion to solve for x.
Multiple answers are accepted.
The two triangles shown above are similar. Find the length of QR.
x = 8, so QR = 42
Solve for x.
12/7 = x/21
x = 36
In the picture above, side TY corresponds to what side?
Side YW or WY
Are the two triangles above similar? If so, write the similarity statement.
Yes because all the angles are the same.
Triangle DEF ~ Triangle ABC
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.
Jessica is 6 ft tall
Solve for x.
2/5 = 30/3x+9
x = 22
In the picture above, side d corresponds to what other side?
100 ft
Write the similarity statement for these three triangles.
Triangle ABC ~ Triangle FED ~ Triangle GIH
Create a proportion to solve for x.
Multiple answers are accepted.
Use proportions to find how far away the boat is from shore.
x = 440 ft
Solve for x.
x/7 = 2+x/21
x = 1