Is it a scaled copy?
Triangle Construction
Scale Factor
Scaling, Area, Maps, OH my
Triangle Review
100
What is a scale copy?
A copy of a figure where every length in the original figure is multiplied by the same numbers
100
True / False: A triangle can be constructed with segments of 4, 8, and 12 units.
False, 8 + 4 is not longer than 12
100
the number we multiply the original figure by to get the scale copy
scale factor
100
How do you find the area of square or rectangle?
lw
length x width
bh
base x height
100
True or False: For any triangle, if two angles are congruent, then the triangle is an isosceles triangle?
True
200
Is this a scale copy?
Yes this is because all sides are multiplied by a scale factor of 3
200
How many triangles can be constructed with the angle measures 15, 15, and 150 degrees? No triangle, one unique triangle, or more than one triangle? Explain your answer.
15 + 15 + 150 = 180, so that's good. Triangles of different sizes could be constructed with these angle measures, so more than one.
200
The original figure has an area of 7. The scale factor is 5. The area of the scaled copy is ______.
175
200
How do you find the area of a triangle?
1/2 bh
1/2 b x h
200
If a triangle has two angles that each measure 43 degrees, what is the measure of the third angle, and what type of triangle is it?
94 degrees and isosceles
300
The original rectangle is a 3 by 5. What would be the new dimensions if you used a scale factor of 450%
13.5 by 22.5
300
How many triangles could be constructed with segments of 10, 12, and 20 units?
One unique triangle
300
Your aunt shows you a blueprint for the new barn they are building. Out to the side, she has a key that says every 3 inches is 36 feet. What is the scale factor?
If the blueprint measures 12 inches by 17 inches, what are the new dimensions?
Scale Factor: 12 feet per 1 inch
New dimensions: 144 feet by 204 feet
300
A scale drawing of a rectangular park is 7 inches wide by 9 inches long. The actual park is 2,520 yards long. What is the area of the actual park in square yards?
280 sq. yards
300
In an isosceles triangle, the sides opposite from the two congruent angles are 7 and x. What is the value of x?
7
400
Rectangle L measures 12 inches by 9 inches. Rectangle M is a scaled copy of Rectangle L. What could be one measurement pairs that could be the dimensions of Rectangle B.
4 inches; 3 inches
24 inches; 18 inches
36 inches; 27 inches
400
In triangle ABC, the length of side AB is 20 inches and the length of side BC is 26 inches. Which of the following could be the length of side AC? A. 39 B. 48 C. 5 D. 6
A. 39 inches
400
If the new dimensions are 144 feet by 204 feet, what is the area of the foundation for the barn?
You have to go buy bags of concrete for the foundation. Each bag can cover 250 square feet. How many full bags will you need to buy to cover the foundation of the barn?
Area: 29,376 square feet
Bags of concrete: 118
400
A map scale states that 5 cm represents 10 km. What is distance on the map (in centimeters) represents an actual distance of 4 km?
2 cm
400
The non-base angle of an isosceles triangle is 40 degrees. What is the measure of each base angle?
70 degrees
500
Rectangle A: 9 inches by 24 inches
Rectangle B: 3 inches by 8 inches
1/3
500
How many triangles can be formed with the given characteristics: An isosceles triangle with a 30 degree angle formed with the two congruent sides. A. None B. One unique triangle C. More than one triangle
C. More than one.
500
What is the scale factor of these two scale copies? The smaller figure is the scale copy of the larger figure.
1.5
500
The scale on the first map is 1 cm to 10 km. The distance from Cincinnati to Athens on the map is 40 cm.
The scale on the second map is 1 cm to 50 km.
What is the distance from Cincinnati to Athens on the second map? Explain your reasoning.
8 cm
500
One base angle of an isosceles triangle is 75 degrees. What is the measure of the non-base angle?
30 degrees