High School Math based on the topics required for the Regents
Exam conducted by NYSED. The following are the worked solutions
for the Geometry (Common Core) Regents High School Examination
January 2015.

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The following are questions for the past paper Regents High School Geometry January 2015 Exam (pdf). Scroll down the page for the step by step solutions.

### Geometry Common Core Regents New York State Exam - January 2015

Geometry - January 2015 Regents - Questions and solutions 1 - 5

1. What is the solution of the system of equations graphed below?

2. What are the coordinates of the midpoint of the line segment with endpoints (2, -5) and (8,3)?

3. As shown in the diagram below, when hexagon ABCDEF is reflected computations. over line m, the image is hexagon A'B'C'D'E'F'.

Under this transformation, which property is not preserved?

(1) area, (2) distance, (3) orientation, (4) angle measure

Geometry - January 2015 Regents - Questions and solutions 6 - 10

6. What are the truth values of the statement “Opposite angles of a trapezoid are always congruent” and its negation?

(1) The statement is true and its negation is true.

(2) The statement is true and its negation is false.

(3) The statement is false and its negation is true.

(4) The statement is false and its negation is false.

7. What is the length of a line segment whose endpoints have coordinates (5,3) and (1,6)?

Geometry - January 2015 Regents - Questions and solutions 11 - 15

11. A circle whose center has coordinates (-3,4) passes through the origin. What is the equation of the circle?

Geometry - January 2015 Regents - Questions and solutions 16 - 20

17. Given the statement, “If a number has exactly two factors, it is a prime number,” what is the contrapositive of this statement?

(1) If a number does not have exactly two factors, then it is not a prime number.

(2) If a number is not a prime number, then it does not have exactly two factors.

(3) If a number is a prime number, then it has exactly two factors.

(4) A number is a prime number if it has exactly two factors.

More Questions

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Related Topics:

More Lessons for the Regents High School Exam, More Lessons for Algebra

The following are questions for the past paper Regents High School Geometry January 2015 Exam (pdf). Scroll down the page for the step by step solutions.

1. What is the solution of the system of equations graphed below?

2. What are the coordinates of the midpoint of the line segment with endpoints (2, -5) and (8,3)?

3. As shown in the diagram below, when hexagon ABCDEF is reflected computations. over line m, the image is hexagon A'B'C'D'E'F'.

Under this transformation, which property is not preserved?

(1) area, (2) distance, (3) orientation, (4) angle measure

6. What are the truth values of the statement “Opposite angles of a trapezoid are always congruent” and its negation?

(1) The statement is true and its negation is true.

(2) The statement is true and its negation is false.

(3) The statement is false and its negation is true.

(4) The statement is false and its negation is false.

7. What is the length of a line segment whose endpoints have coordinates (5,3) and (1,6)?

11. A circle whose center has coordinates (-3,4) passes through the origin. What is the equation of the circle?

17. Given the statement, “If a number has exactly two factors, it is a prime number,” what is the contrapositive of this statement?

(1) If a number does not have exactly two factors, then it is not a prime number.

(2) If a number is not a prime number, then it does not have exactly two factors.

(3) If a number is a prime number, then it has exactly two factors.

(4) A number is a prime number if it has exactly two factors.

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