Ratio & Proportion
Similar Polygons
Missing sides
Proportions & Similar Triangles
Shadow problems
Transformations, Distance and Slope
100
Solve for x.
2/5 = x/75
x = 30
100
Are the Angle measurements change with the size of the shape? True or False
False. They always stay the same.
100
How can you prove these triangles similar?
Set up a proportion.
6/12 = 5/10
100
Find the missing side length.
x = 44
100
Round to nearest tenth.
5.4 units
100
What is the correct transformation reason that the triangles are similar?
Reflection and Dilation
.
200
Show that these two ratios are in proportion.
(50) / (100)= (1) / (x)
x = 2
1/2
200
Similar polygons have the same ___ but different ___.
Same Shape & Different Size
200
Finish corresponding angles by marking the last. Then give corresponding
ie: ABC ~ NMP
TUV ~ JKL
200
What is a ratio?
A comparison of 2 quantities.
200
Round to nearest 10th.
6.7m
200
In the diagram given below, what transformation used?
Rotation and Dilation
300
Solve for x.
4/13 = 16/x
x = 52
300
How do you find slope given a graph? (What method do you use?)
Rise over run
300
Corresponding Angles are ____ .
Corresponding Sides are _____.
Congruent
Proportional
300
What is the scale factor?
triangleA ~ triangleB
3/2 (1.5)
or
2/3
300
A flag pole is X ft tall and cast a shadow 4.8. The mailbox is 3.5 ft tall and cast a shadow of 1.25. How tall is the Flag pole.
13.44ft
300
Are these triangles similar? Use Slope formula to determine.
Yes, using dilation.
400
Are these two ratios in proportion? Prove it.
(13) / (17) = (78) / (102)
Yes
78/102 DIVIDED BY 6 IT WILL BE 13/17
OR USING cross product
(13)(102) = (17)(78)
1,326 = 1,326
Cross-products are equal.
400
What is the proportion if △ XYZ ~ △ TUV?
XY/TU = YZ/UV = XZ/TV
400
What is the scale factor?
SF: 5/4
400
Find the length of the missing side.
x = 39
400
16 FT
400
From the graph below, determine if the two figures are similar. then write the sequence of the transformations that map the figure 1 and figure 2.
It can be mapped using reflection across x-axis followed by dilation about the origin.
500
A map of Florida has a scale of 1 inch: 7miles. Janet locates her house on the map, and it's 3.5 inches from the closest Walmart. How many miles is Janet's house from Walmart?
24.5 miles
500
What is the ratio of similarity?
3/2
500
Are these triangles similar? If so, explain how you know and complete the similarity statement.
Yes,
500
Are these triangles similar? Prove it.
No. There is no ratio of similarity.
3/4 is not similar to 5/6
500
A build has a height of 65ft and casts a shadow of 20 ft. A statue cast a shadow of 3ft. How tall is the statue?
9.75 ft
500
Triangle ABC is similar, but not congruent to triangle PQR. Triangle PQR underwent two transformations to get Triangle ABC. Select two of the following pairs of transformations thatc could have occured.
A. Translation of 3 units and 270 degrees clockwise.
B. Dilation of 1/4 and reflection over y axis.
C. Reflection over y = x and a translation of 4 units to the right.
D. 180 degrees counterclockwise and dilation of 5.
B. Dilation of 1/4 and reflection over y axis.
D. D. 180 degrees counterclockwise and dilation of 5.