Ratios and Proportions
Missing Angles and Similarity Statements
Similar Figures
Missing sides of similar figures
Similarity Statements
200
Simplify the following ratio: 8:14
4:7
200
Triangle ABC is similar to Triangle DEF. What side corresponds to side AB?
What is side DE?
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.
x = 11
200
Complete the statement PONM is similar to ____
What is RSTU?
400
In a bag of M&M's there are 3 blue, 5 red, 2 yellow, 7 green, and 8 brown. What is the ratio of blue to red?
What is 3:5?
400
What angle corresponds to angle P
What is angle S?
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.
x = 56 mm
400
What side corresponds to GI
What is TU?
600
15 gallons of gas costs $45.30. How much does 12 gallons of gas costs?
$36.24
600
What is the missing angle measurement?
What is 33?
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!!
x = 18
600
Angle H is congruent to which angle.
What is angle N?
800
There are 10 girls, 12 boys and 2 non-binary students in a class. What is the simplified ratio of girls to total students?
5/12
800
Find the missing angle.
What is 115?
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.
x = 50 feet
800
Quadrilateral QRST and JKLM are similar. Line QT corresponds to which side on the other Quadrilateral?
What is JM?
1000
A person on an electric scooter rode 5.4 miles in 20 minutes.
a) What is the speed in miles per hour?
b) How long would it take them to travel 18 miles? Round to the nearest hundredth.
a) 16.2 miles per hour
b) 1.11 hours
1000
What is the missing angle?
What is 106?
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
PQR is similar to FAN. What angle corresponds to Q?
What is Angle A?