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Triangle RST was dilated by a scale factor of 1/2. The image, triangle R'S'T', is an isosceles triangle, with each leg measuring 8 units. What is the length of a leg of the pre-image, triangle RST?

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Triangle RST was dilated by a scale factor of 1/2
Given: triangle R'S'T', is an isosceles triangle, with each leg measuring 8 units. 
Pre-image: measure of pre-image * scale factor = measure of resulting image
measure of pre-image = measure of resulting image / scale factor
measure of pre-image = 8 / 1/2measure of pre-image = 8 * 2/1 
measure of pre-image = 16 units.

Answer:

16 units

Step-by-step explanation:

RST was dilated by a scale factor of 1/2.  This means R'S'T' has sides that are 1/2 the length of the sides of RST.

Since the legs of R'S'T' are 8 units, this gives us the equation

8 = 1/2x

Divide both sides by 1/2:

8÷1/2 = x

8 × 2/1 = x

16 = x

Each leg in RST is 16 units.

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