*The following problems were taken from the*

**GEOMETRY (COMMON CORE)**Regents Exam given on Thursday, January 26, 2017.### Part 1

**1. Which equation represents the line that passes through the point (-2,2) and is parallel to y = 1/2 x + 8?
**

(3) ** y = 1/2 x + 3**.

A parallel line will have the same slope, 1/2, so

*y = 1/2 x + b*.

Next, substitute the coordinates (-2, 2) in place of

*x*and

*y*, giving you

*2 = 1/2 (-2) + b*

*2 = -1 + b*

*3 = b*

so

*y = 1/2 x + 3***2. In the diagram below, triangle ADE is the image of triangle ABC after a reflection
over the line AC followed by a dilation of scale factor (AE/AC) centered at point A.
**

*Which statement must be true?*(2) m∠ABC = m∠ADE.

Neither reflection nor dilation changes the shape of the figure, nor the sizes of the angles, and ∠ABC and ∠ADE are corresponding angles in the two triangles.

Continue to the next problems

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