Scale Drawings
Scale Factor and Missing Side
Triangle Inequality
Misc. Review
100
Two cities are 3 inches apart on a map. The map has a scale of 1 inch = 150 miles. In real life, how far apart are the two cities?
450 miles
100
The scale factor from triangle DEF to triangle D`E`F`is ...
1.5 cm
100
Can the sides of a triangle have lengths 2, 7, and 7?
Prove why?
Yes,
2 + 7 > 7
200
What is the distance from Austin, TX to Houston, TX if it is 3 inches on the map?
1 inch : 55 miles
165 miles
200
Find x
x = 7
200
Can the sides of a triangle have lengths 8, 1, and 5?
Prove why?
No,
1 + 5 is not > 8
200
The scale of a map says that 8 cm represents 5 km.
What distance on the map (in centimeters) represents an actual distance of 8 kilometers?
What is the actual number of kilometers that is represented by 5 centimeters on the map?
1) What is 12.8 cm?
2) What is 3.125km?
300
On a scale drawing, 1 inch : 8 feet. What is the actual length of a room that measures 4 inches?
32 feet
300
The scale factor from triangle NPW to triangle N`P`W`is ...
1/4
300
Can the sides of a triangle have lengths 11, 13, and 2?
Prove why?
No.
2 + 11 is not > 13
400
What is the distance between Paris, France and Montreal, Canada if it is 16 inches on a map? Use the scale 2 inch : 750 kilometers.
6,000 km
400
What is the scale factor from the original to the copy?
1/5
400
Fill in the blanks:
Triangle inequality states: The ____ of the two _______________ sides of a triangle must be ________ than the ________ side.
Triangle inequality states: The SUM of the two SHORTEST sides of a triangle must be GREATER than the THIRD/LAST side.
400
What is A, B and E?
500
On a scale drawing, 1 centimeter : 4 meters. What length on the drawing would be used to represent 12 m?
3 cm
500
The value of the unknown side is
2.5
500
Select all possible side lengths for the third side for the following pair of triangle side lengths.
7 inches and 4 inches
A. 2 inches
B. 5 inches
C.10 inches
D. 14 inches
5 inches (B) and 10 inches (C)
4 + 2 > 7 (X)
4 + 5 > 7 (Correct)
4 + 7 > 10 (Correct)
4 + 7 > 14 (X)
500
What are B, C and D?