Ratios and Proportions
Similar Figures
Missing sides of similar figures
Similar Triangles
Vocabulary
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?
200
The three ways to prove triangles similar.
What is AA~, SSS~, SAS~?
200
If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar
AA Postulate
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?
400
Are the following triangles similar? If so, what is the shortcut?
What is SSS~?
400
If the corresponding side lengths of two triangles are proportional then the triangles are similar.
SSS Postulate
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?
600
Are the following triangles similar? If so, why?
No, the sides are not proportional.
600
Corresponding side ratios for similar figures are called
Statement of Proportionality
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?
800
Are the following triangles similar?
What is AA~?
800
ABCD is similar to EFGH is called a
Similarity Statement
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.
1000
Are the following triangles similar? If so, why?
What is SAS~?
1000
If a angle of one triangle is congruent to an angle of a second triangle and the length of the sides including these angles are proportional then the triangles are similar.
SAS Postulate