∆AB is =10 inches, ∆BC=15 inches, and ∆AC=18 inches on the 1 st triangle. The second triangle ∆DE=20 inches,∆Ef=30, and ∆DF=36 inches.
Randee draws these two triangles with length given in centimeters. What scale factor does she use to create the copy on the right from the original on the left?
A. 1/2
B. 1 2/3
C. 2
D. 1 1/3
To find the scale factor, we need to compare the corresponding sides of the two triangles.
In the first triangle:
∆AB = 10 inches
∆BC = 15 inches
∆AC = 18 inches
In the second triangle (converted to centimeters):
∆DE = 20 inches = 20 * 2.54 centimeters = 50.8 centimeters
∆Ef = 30 inches = 30 * 2.54 centimeters = 76.2 centimeters
∆DF = 36 inches = 36 * 2.54 centimeters = 91.4 centimeters
Comparing the corresponding sides:
AB : DE = 10 inches : 50.8 centimeters = 1 : 5.08
BC : Ef = 15 inches : 76.2 centimeters = 1 : 5.08
AC : DF = 18 inches : 91.4 centimeters = 1 : 5.08
Since the ratios of the corresponding sides are all the same (1 : 5.08), the scale factor is 5.08.
Therefore, the answer is not listed in the given options.