Hayden likes building radio controlled sailboats with her father. One of the sails shaped like a tight triangle has side lengths
measuring 6 inches 8 inches and 10 inches. To log her activity hayden creates and collects drawings of all the boats she and her father built together. Using the scale factor of 1/4 create a scale drawing of the sail
1 answer:
Answer:
the scaled sail has lengths 1.5 inches, 2 inches, and 2.5 inches. the diagram is attached.
Step-by-step explanation:
a scale factor of 1/4 means that the lengths of each side of the sail will be reduced by 0ne-forth (0.6) its original length. Therefore the lengths of the scale drawing before and after scaling are:
6 inches = 6 × 1/4 = 6 × 0.25 = 1.5 inches
8 inches = 7 × 0.25 = 2 inches
10 inches = 10 × 0.25 = 2.5 inches.
Therefore the scaled sail has lengths 1.5 inches, 2 inches, and 2.5 inches as shown in the diagram attached.
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A scale factor of 1/2 makes the triangle half the size of the original.
The original is 4 units tall, so 1/2 scale makes the new one 2 units tall.
It is 6 units long, so 1/2 would be 3 units long.
Now since the scale factor is centered at (-1,3) fine the midpoint between The top left corner of the triangle and the center point:
Midpoint ( -1-5/2 , 3+7/2)
Midpoint = (-6/2 , 10/2)
Midpoint = -3,5
This is where the top left corner of the scaled triangle would be.
See attached picture:
