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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Ответ:

pattydixon6

05.01.2022

Mathematics

#1) d. ΔJKL is not a right triangle because no two of its sides are perpendicular; #2) -1/3, 3, -7, is, two of these slopes have a product of -1; #3) a. Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length; #4) 1, -1/6, 1, -2/5, is not, only one pair of opposite sides is parallel; #5) c. Quadrilateral PQRS is not a rectangle because it has only one right angle.

Step-by-step explanation:

#1) The slope of any line segment is found using the formula

$m=\frac{y_2-y_1}{x_2-x_1}$

For JK, this gives us (1-1)/(-5-0) = 0/-5 = 0. For KL this gives us (1--5)/(0-2) = 6/-2 = -3. For LJ this gives us (-5-1)/(2--5) = -6/7. None of these slopes are negative reciprocals, so none of the angles are right angles and this is not a right triangle.

#2) The slope of JK is (2-1)/(0-3) = 1/-3 = -1/3. The slope of KL is (1--5)/(3-1) = 6/2 = 3. The slope of LJ is (2--5)/(0-1) = 7/-1 = -7. Two of these slopes have a product of -1, 3 and -1/3. This means they are negative reciprocals so this has a right angle; this means JKL is a right triangle.

#3) The slope of DE is (5-4)/(-2-2) = 1/-4 = -1/4. The slope of EF is (4-0)/(2-0) = 4/2 = 2. The slope of FG is (0-1)/(0--4) = -1/4. The slope of GD is (1-5)/(-4--2) = -4/-2 = 2. Opposite sides have the same slope so they are parallel.

Next we use the distance formula to find the length of each side:

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Using our points, the length of DE is

$\sqrt{(5-4)^2+(-2-2)^2}=\sqrt{1^2+(-4)^2}=\sqrt{1+16}=\sqrt{17}$

The length of EF is

$d=\sqrt{(4-0)^2+(2-0)^2}=\sqrt{4^2+2^2}=\sqrt{16+4}=\sqrt{20}$

The length of FG is

$d=\sqrt{(0-1)^2+(0--4)^2}=\sqrt{(-1)^2+(4)^2}=\sqrt{1+16}=\sqrt{17}$

The length of GD is

$d=\sqrt{(1-5)^2+(-4--2)^2}=\sqrt{(-4)^2+(-2)^2}=\sqrt{16+4}=\sqrt{20}$

Opposite sides have the same length and are parallel, so this is a parallelogram.

#4) The slope of AB is (-1-2)/(-4--1) = -3/-3 = 1. The slope of BC is (2-1)/(-1-5) = 1/-6 = -1/6. The slope of CD is (1--3)/(5-1) = 4/4 = 1. The slope of DA is (-3--1)/(1--4) = -2/5. Only one pair of opposite sides is parallel, so this is not a parallelogram.

#5) The slope of PQ is (2-4)/(-4-3) = -2/-7 = 2/7. The slope of QR is (4-0)/(3-5) = 4/-2 = -2. The slope of RS is (0--2)/(5--3) = 2/8 = 1/4. The slope of SP is (-2-2)/(-3--4) = -4/1 = -4. Only one pair of sides has slopes that are negative reciprocals; this means this figure only has 1 right angle, so it is not a rectangle.

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Ответ:

numb2000

04.04.2023

Mathematics

The correct answer is B)Brutus thinks that Cassius is committing treason against Rome

Explanation:

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