Ratios and Proportions
Similar Figures
Missing sides of similar figures
200
Simplify the following ratio: 8/14
What is 4/7?
200
What does it mean for two shapes to be similar?
Same shape, different size
200
The following figures are similar. Find the missing value.
What is x = 11?
400
Simplify the following ratio: 76/28
What is 19/7?
400
For figures to be similar, what has to be true about the corresponding angles?
Corresponding angles have to be congruent
400
The following figures are similar. Find the missing value.
What is x = 3.5?
600
Solve the following proportion:
What is x = 2?
600
For figures to be similar, what has to be true about the corresponding sides?
Corresponding sides have to be proportional.
600
The following figures are similar. Find the missing value.
Hint: Draw the triangles separately!!
What is x = 18?
800
Solve the following proportion:
What is x = 8.4 or 42/5?
800
Are these figures similar?
Yes, the corresponding angles are congruent and the sides are proportional
800
The following figures are similar. Find the missing value.
What is x = 50 feet?
1000
Solve the following proportion:
What is x = 22?
1000
Are these figures similar?
No, the corresponding angles are congruent, but the sides are not proportional
1000
A tree casts a shadow 60 feet long. At the same time, a nearby 8 foot post casts a 12 foot shadow. How tall is the tree?
The tree is 40 feet tall.