Question

Triangle A'B'C' is formed by a reflection over x = 1 and dilation by a scale factor of 2 from the origin. Which equation shows the correct relationship between AABC

and A'B'C'?

Answer 1

`(AB)/(A`

Explanation:

Given

`k = 2` --- scale factor

Required

Relationship between ABC and A"B"C"

`k = 2` implies that the sides of A"B"C" are bigger than ABC

i.e.

`A`

`A`

`B`

In
`A`

Divide both sides by A"B"

`1 = (2AB)/(A`

Divide both sides by 2

`(1)/(2) = (AB)/(A`

Rewrite as:

`(AB)/(A`

(a) is correct