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WorksheetsUnit 8 Geometry Extra Credit Review Similarity
Total questions: 30
Worksheet time: 55mins
If the dimensions of a photo are 2 inches by 3 inches and the dimensions of a poster of the same image are 8 inches by 12 inches, are the photo and the poster similar? Explain
Yes, the ratios are the same.
No, the ratios are not the same.
Yes, they are of the same image
No, they are different sizes.
Determine the value of x.
(a)
Determine the distance along Broadway between 37th Street and 36th Street.
(a) feet
The scale on a map of the state of Missouri indicates that 3 inches represents 50 miles. The cities of St Louis, Springfield, and Kansas City form a triangle. If the measurements of the length of the sides of this triangle on the map are 15 inches, 10 inches, and 13 inches, find the perimeter of the actual triangle formed by these cities to the nearest mile.
(a)
150 miles
83 miles
600 miles
Determine the value of x.
(a)
4
5
7
Determine the value of x.
Solve the proportion.
(a)
In an animal shelter, the ratio of dogs to cats is 5 : 3. There are 25 dogs. Write and solve a proportion to find the number c of cats.
How many cats? __
The perimeter of a rectangle in 154 ft. The ratio of length to width is 10:1. Find the length and width.
Length = (a)
Width = (b)
Solve for x.
(a)
Complete the similarity statement.
ABC ~ (a)
Which is true about any midsegment in a triangle?
(Select all that apply.)
The midsegment is parallel to its corresponding side.
The midsegment is perpendicular to its corresponding side.
The midsegment is half as long as its corresponding side.
The midsegment connects the midpoints of two sides of a triangle.
The midsegment is twice as long as its corresponding side.
If Points D and E are midpoints, what type of segment is DE? (a)
If AC=42, find DF (a)
If BF = 19.8, find DE (b)
If FE = 12. find AB (c)
What is the value of y if (x+4) was a midsegment?
Trapezoid A’B’C’D’ is the dilation of trapezoid ABCD.
Which algebraic representation shows this dilation?
(x, y) --> (2x, 2y)
(x, y) --> (0.5x, 0.5y)
(2x, 2y) --> (x, y)
(x, y) --> (3x, 2y)
What is the formula for scale factor?
oldnew
newold
ABC ~ XYZ. What is the scale factor of the dilation of ABC to XYZ?
State the coordinates of point B after a dilation, with the center of dilation at the origin, and a scale factor of 1/2.
(1.5,-4)
(-1.5,1)
(-1,-1.5)
(-2,-2)
State the coordinates of point B after a dilation, with the center of dilation at Point A , and a scale factor of 2.
No SPACES
(a)
What reasons for #2? (a)
What is the reason for #3? (b)
