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[More Lessons for Regents Exam](high-school-math-regents-exam.html

More Geometry Lessons

High School Math based on the topics required for the Regents Exam conducted by NYSED. The following are the worked solutions for the Geometry Regents High School Examination June 2012.

**Geometry - June 2012 Regents - Q #11**

Midpoint and Perimeter

In the diagram of triangle ABC shown below, D is the midpoint of AB,

E is the midpoint of BC, and F is the midpoint of AC. If AB = 20, BC = 12, and AC = 16, what is the perimeter of trapezoid ABEF?

**Geometry - June 2012 Regents - Q #12**

Isosceles Triangle

In the diagram below, triangle LMO is isosceles with LO = MO. If m∠L = 55 and m∠NOM = 28, what is m∠N?

**Geometry - June 2012 Regents - Q #13**

Lines and Planes

If line AB is contained in plane P, and line AB is perpendicular to plane R, which statement is true?

**Geometry - June 2012 Regents - Q #14**

Centroid

In the diagram below of triangle ABC, AE = BE, AF = CF, and CD = BD. Point P must be the…

**Geometry - June 2012 Regents - Q #15**

Equation of a Perpendicular Line

What is the equation of the line that passes through the point (− 9,6)

and is perpendicular to the line y = 3x − 5?

Geometry - June 2012 Regents - Q #16

Similar Triangles

In the diagram of triangle ABC shown below, DE is parallel to BC. If AB = 10, AD = 8, and AE = 12, what is the length of EC?

**Geometry - June 2012 Regents - Q #17**

Distance Formula

What is the length of AB with endpoints A(−1,0) and B(4, −3)?

**Geometry - June 2012 Regents - Q #18**

Sum of angles of a polygon

The sum of the interior angles of a polygon of n sides is…

**Geometry - June 2012 Regents - Q #19**

Slope of perpendicular line

What is the slope of a line perpendicular to the line whose equation

is 20x − 2y = 6?

**Geometry - June 2012 Regents - Q #20**

Graph of a Circle

Which graph represents a circle whose equation is (x + 2)^{2} + y^{2} = 16?

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