Question

geometry
question 9: standard g.gmd.4
a line or point is 1d, area is ____ and volume is 3d.
a. 3d
b. 1d
c. 2d
d. 4d
question 10: standard g.gmd.4
what is the cross section of a sphere?
a. circle
b. triangle
c. square
d. hyperbola
question 11: standard g.gmd.4
what is the vertical cross section of a cone that is standing upright?
a. square
b. circle
c. triangle
d. parabola
question 12: standard g.gmd.4
what is the horizontal cross section of a cylinder standing upright?
a. circle
b. triangle
c. parabola
d. hyperbola

Explanation:

Question 9

In geometry, a line or point has 1 dimension (1D), area (which represents a two - dimensional space, like the surface of a shape) is 2D, and volume (which represents a three - dimensional space, like the space occupied by a solid) is 3D. So we need to choose the option that represents the dimension of area.

A sphere is a three - dimensional object where all points on its surface are equidistant from its center. When we take a cross - section (a slice) of a sphere, regardless of the direction of the slice, the resulting shape is a circle. A triangle, square, or hyperbola cannot be obtained as a cross - section of a sphere.

A cone that is standing upright has a circular base and a pointed top (apex). When we take a vertical cross - section (a slice along a plane that contains the axis of the cone, from the base to the apex), the resulting shape is a triangle. The base of the triangle is the diameter of the circular base of the cone, and the two equal sides of the triangle meet at the apex of the cone. A square, circle, or parabola is not the shape of the vertical cross - section of a cone.

Answer:

c. 2D

Question 10