PRE-CAL Pretest

Which of the following is a degenerate conic section?

• Circle

• Ellipse

• Point

• Parabola

Which of the following definitions best describes a circle?

• A circle is a straight line connecting two points on the circumference.
• A circle is a shape with four equal sides and four right angles.
• A circle is a figure with three sides.
• A circle is a closed curve where all points are equidistant from the center point.

What is the standard form of the equation of a circle with center at (h, k) and radius r?

• (x - h)² + (y - k)² = r²

• (x + h)² + (y - k)² = r²

• (x - h)² + (y + k)² = r²

• (x + h)² + (y + k)² = r²

Which of the following definitions best describes a parabola?

• A closed geometric shape with four sides
• A straight line passing through a curve
• A three-dimensional circular shape
• A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side.

What is the standard form of the equation of a parabola that opens upwards or downwards?

• (x−h)²=4p(y−k)

• (x−h)²+(y−k)²=r²

• y²=4px

• (y−k)²=4p(x−h)

Which of the following definitions best describes an ellipse?

• A set of points that forms a straight line.
• A set of points equidistant from a fixed point called the center and a fixed line.
• A set of all points equidistant from a fixed point (focus) and a fixed line (directrix).
• A set of all points such that the sum of the distances from two fixed points (foci) is constant.

What is the standard form of the equation of an ellipse with center at (h, k) and major axis along the x-axis?

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Which of the following definitions best describes a hyperbola?

• A hyperbola is a type of flower with five petals.
• A hyperbola is a type of triangle with three equal sides.
• A hyperbola is a type of conic section defined by the difference of distances to two fixed points being constant.
• A hyperbola is a type of fruit that grows on trees.

What is the standard form of the equation of a hyperbola with center at (h, k) and transverse axis along the x-axis?

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