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Mathematics, 06.10.2019 11:00 antschilt519

Need . just need my answers checked. in advance. my answers are in brackets.

1. the coordinates of the vertices of δjkl are j(-5, -1) , k(0, 1) , and l(2, -5). which statement correctly describes whether δjkl is a right triangle?
a. δjkl is a right triangle because jk is perpendicular to jl.
b. δjkl is a right triangle because jl is perpendicular to kl.
c. δjkl is a right triangle because jk is perpendicular to kl.
[ d. δjkl is not a right triangle because no two of its sides are perpendicular. ]

2. the coordinates of the vertices of δjkl are j(0, 2) , k(3, 1) , and l(1, -5). drag and drop the choices into each box to correctly complete the sentences.
the slope of jk is [ -¹/₃ ], the slope of kl is [ 3 ], and the slope of jl is [ -7 ]. δjkl [ is ] a right triangle because [ two of these slopes have a product of -1 ].
answer choices: -3 ; 3 ; -7 ; -¹/₃ ; ¹/₇ ; is ; is not ; two of these slopes have a product of -1 ; no two of these slopes have a product of -1

3. the coordinates of the vertices of quadrilateral defg are d(-2, 5) , e(2, 4) , f(0, 0) , and g(-4, 1). which statement correctly describes whether quadrilateral defg is a rhombus?
a. quadrilateral defg is a rhombus because opposite sides are parallel and all four sides have the same length.
[ b. quadrilateral defg is not a rhombus because there is only one pair of opposite sides that are parallel. ]
c. quadrilateral defg is not a rhombus because opposites sides are parallel but the four sides do not all have the same length.
d. quadrilateral defg is not a rhombus because there are no pairs of parallel sides.

the slopes of the sides are:
de = -¹/₄
ef = 2
fg = -¹/₂
gd = 2
i'm debating between a and b.

4. the coordinates of the vertices of quadrilateral abcd are a(-4, -1) , b(-1, 2) , c(5, 1) , and d(1, -3). drag and drop the choices into each box to correctly complete the sentences.

the slope of ab is [ 1 ], the slope of bc is [ -¹/₆ ], the slope of cd is [ 1 ], and the slope of ad is [ -²/₅ ]. quadrilateral abcd [ is not ] a parallelogram because [ only one pair of opposite sides is parallel ].
answer choices: -²/₅ ; -¹/₆ ; 1 ; ³/₂ ; is ; is not ; both pairs of opposite sides are parallel ; only one pair of opposite side is parallel ; neither pair of opposite sides is parallel

5. the coordinates of the vertices of quadrilateral pqrs are p(-4, 2) , q(3, 4) , r(5, 0) , and s(-3, -2). which statement correctly describes whether quadrilateral pqrs is a rectangle?
a. quadrilateral pqrs is not a rectangle because it has only two right angles.
b. quadrilateral pqrs is a rectangle because it has four right angles.
c. quadrilateral pqrs is not a rectangle because it has only one right angle.
d. quadrilateral pqrs is not a rectangle because it has no right angles.
i'm not sure about this one.

again.

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Answers: 2

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