Humar P.
asked • 02/28/22Give the most precise classification for the figure.
Inactive Tutor answered • 02/28/22
I think the most precise classification that can be used for this figure is a rhombus, because the four sides should be congruent and the opposite sides should be parallel, but the diagonals are not necessarily congruent.
Inactive Tutor answered • 02/28/22
It's a square
squares are a type of kite. kites have diagonals that intersect at right angles.
kites are symmetrical about the main diagonal, the larger diagonal
kites have equal angles at opposite ends of the diagonal
kites' area = 1/2 x d1 x d2
kites can be viewed as a pair of congruent triangles with a common base
Visually it appears to be a square, which is more precise description than rhombus
Inactive Tutor
In geometry, we cannot judge shapes just by how they look. We have to use only what is explicitly given to us. In this figure, the two diagonals may not be the same length. And just because two lines look parallel does not mean they are actually parallel.02/28/22
Inactive Tutor
Square is more precise, but is not correct because the diagonals are not the same length. In this case, the lines are parallel and you can show that they are parallel by using similar triangles, but not simply because they look parallel.03/01/22
Inactive Tutor
Also, a rhombus is a quadrilateral with four congruent sides and two pairs of parallel opposite sides.03/01/22
Humar P.
what is the answer then square or rhombus03/01/22
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Inactive Tutor
Actually, it doesn't have to be a square, because the two diagonals are not necessarily congruent.02/28/22