Question

1. choose the correct answer.

a(n)____is a set of points determined by a specific set of conditions.

incenter
hypotenuse
locus
bisector

1. choose the correct answer.

what is the name of the figure described?
all points in space that are 15 cm from the center c of a sphere 10 cm in diameter.

a circle of diameter 15 cm with center c.
d.a line perpendicular to line m.
a sphere of radius 15 cm with center c.
two lines parallel to line m and each 5 inches from m on either side of it.

Explanation:

• For the first question:
• The in - center is the center of the incircle of a triangle.
• The hypotenuse is the side opposite the right angle in a right - triangle.
• A locus is a set of points that satisfy a given condition.
• A bisector divides a line segment, angle, etc. into two equal parts.
• For the second question:
• A circle is a 2 - D figure. The description is about points in space (3 - D).
• A sphere is a 3 - D figure where all points on its surface are at a given distance (radius) from the center. Here, the distance from the center \(C\) is \(15\) cm (radius), so it is a sphere of radius \(15\) cm with center \(C\).
• The option about lines parallel to line \(m\) is not relevant to the description of points in space at a distance from a center.

Answer:

1. C. locus
2. B. A sphere of radius 15 cm with center \(C\).