Q:

# the shapes of the horizontal cross sections of the cone below are all congruent

Accepted Solution

A:
Answer:All Circles we get by horizontal cross section are not equal.Step-by-step explanation:Given: A cone.To find: Shape of Horizontal cross section of cone are all congruent or not.Two shapes are congruent if they are equal in measure or if they overlap each other completely.Shape of horizontal cross section of cone is CIRCLE.Two Circles are congruent if they have same radii.Cross section 1: Horizontal cross section of cone near the base is a large circle almost equal to radius of cone.Cross section 2: Horizontal cross section of cone near the top is a smallest circle whose radius is almost equal to 'zero'.Cross section 3: Horizontal Cross section of cone in middle is a circle whose radius is between top's circle and base circle.Its clear from above that these three cross sections are not congruent as circle don't have same radii.Therefore, All Circles we get by horizontal cross section are not equal.