MATH 213 Midterm: MATH213_ALL-SECTIONS_FALL2010_0000_MID_EXAM

• School: University of Maryland
• Department: Mathematics
• Course: MATH 213
• Professor: All

Document Summary

Sketch a net for a pyramid with a hexagonal base. Consider the diagram of the earth (solid circle) and moon orbit (dashed circle) below. Draw on the cube where you would slice it, and include a sentence of explanation of how you would direct your cut. Draw a venn diagram representing the relationships among rhombuses, rectangles, and squares. Indicate whether each of the following statements is true or false. Three planes can separate space into eight disjoint regions. Three lines can separate a plane into eight disjoint regions. ________ c. a line can intersect a sphere in exactly one point. ________ d. two spheres can intersect in a circle. ________ f. a triangle can be both equilateral and isosceles. ________ g. it is possible to obtain a hexagonal cross-section by slicing a square-based pyramid. ________ h. it is possible for a shape to be both a platonic solid and a prism.