Choose all that correctly describe the geometric construction. Construct an angle congruent to a given angle.
Draw a ray. Using a compass, draw an arc that intersects the sides of the given angle. Keeping the compass
at the same measure, draw an arc at the endpoint of the drawn ray. Adjusting the compass, measure the
distance between the intersections of the arc with the sides of the given angle. Using the intersection of
the arc and the drawn ray as the center, draw an arc that intersects with the previous arc. With a
straightedge, draw a segment from the endpoint of the ray to the intersection of the two arcs to form a
congruent angle.
Construct the angle bisector of a given angle.
Using a compass, draw an arc that intersects the sides of the given angle. Keeping the same measurement,
draw arcs on the interior of the angle using the intersections of the arcs with the angle's sides as vertices.
The two arcs intersect a point. The segment that connects the vertex of the angle and this point is the
angle bisector.
Construct the perpendicular bisector of a given segment.
Using a compass, make arcs above and below the approximate location of the midpoint from both ends of
the segment. Connect the arc intersections both above and below the segment with a straightedge. The
newly drawn segment is the perpendicular bisector of the given segment.

Complete the worksheet. use 3.14 for π and round all decimals to the nearest hundredth.find the volume of the composite three-dimensional figure above. important terms are written in bold.1. the pyramid has a square base that is inscribed in the circular base of the cone. draw an image of the composite shape of the base. 2. if the side length of the square base is 8 units long, what is the diameter of the circular base of the cone from the picture in number 1? 3. now that the diameter has been calculated, what is the circular area of the cone? ignore the square base of the pyramid.? 4. what is the formula for volume of a cone? 5.to calculate the volume of the cone, the height is still needed. if the cone has a lateral surface with a length of 13 units, what is the height of the cone? 6.now find the volume of the cone. do not include the empty space for the pyramid. 7.. the side length of the square base of the pyramid is 8 units long. what is the base area of the pyramid? 8.what is the formula for the volume of a pyramid9. since the cone and the pyramid share the same vertex, what is the volume of the pyramid10.using the volume of the cone and the pyramid, find the volume of the composite shape. remember, the pyramid is empty. 11,. referring to the picture in number 1, what is the area of the composite base knowing that the square is empty? 12what is the formula to find the lateral surface area of a cone? (13find the lateral surface area of the cone14what is the lateral surface area shape of the pyramid? what is the formula for its area? 15to find the lateral surface area of the pyramid the length is still needed. calculate the lateral surface length of the pyramid. 16 now that the lateral surface length is known, what is the lateral surface area of the pyramid17. using the lateral surface areas of the cone and pyramid, along with the area of the composite base, what is the total surface area?