Answer:
Triangular Prism
Step-by-step explanation:
We are given the object 'Tent' and are required to find a 3D object resembling it.
Since, the object represents a tent. So, it must have two similar and parallel bases with parallelograms as sides.
Therefore, we get that the 3D object that resembles a tent is a 'Triangular Prism'.
A triangular prism has two similar triangular bases and three rectangular sides as shown in the figure below.
Hence, 'Triangular Prism' is the answer.
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Answer:
(a) one parallelogram
(b) opposite sides are 3 inches and 4 inches. Opposite angles are 45° and 135°
(c) yes, all side lengths can be determined, see (b)
Step-by-step explanation:
Opposite sides of a parallelogram are the same length, so if one side is 3 inches, so is the opposite side. Similarly, if one side is 4 inches, so is the opposite side. If sides have different lengths, they must be adjacent sides. The given numbers tell us the lengths of all of the sides.
The 4 inch sides are adjacent to the 3 inch sides. Thus the angle between a 4 inch side and a 3 inch side must be 45°. Opposite angles are congruent, and adjacent angles are supplementary, so specifying one angle specifies them all.
Only one parallelogram can be formed with these sides and angles. (The acute angle can be at the left end or the right end of the long side. This gives rise to two possible congruent orientations of the parallelogram. Because these are congruent, we claim only one parallelogram is possible. Each is a reflection of the other.)
