 # Geometry Regents - June 2009

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High School Math based on the topics required for the Regents Exam conducted by NYSED.

### June 2009 Regents Exam

Geometry - June 2009 Regents - Q #13
Contrapositive
Geometry - June 2009 Regents - Q #14
Centroid and medians of triangles

Geometry - June 2009 Regents - Q #15

Using Pythagoras Theorem
AB2 = 62 + 82
AB = 10

Given AD = x then DB = 10 - AD = 10 - x
Let CD = y

Using Pythagoras Theorem
x2 + y2 = 62 ... (1)

(10 - x)2 + y2 = 82
100 - 20x + x2 + y2 = 82
100 – 20x + (x2 + y2) = 82

Substituting from equation (1)
100 - 20x + 62 = 82
20x = 72
x = 3.6

Geometry - June 2009 Regents - Q #16
Tangent and secant of a circle

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