If the markings were missing on this quadrilateral, how would you go about verifying what shape it is?

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

7 0

Answer:

Option A: Because this is a rectangle, I would show that each vertex is made up with lines that have opposite reciprocal slopes.

Step-by-step explanation:

A rectangle is a quadrilateral with four right angles.

Each right angle is made up of two perpendicular lines forming a vertex

And then proving this that all perpendicular lines have negative reciprocal slope.

It isn't always necessary to employ the idea of using a parallelogram first although it might be useful.

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Find the area or this triangle

Arlecino [84]

Answer:

Area of triangle = 15 square units

Step-by-step explanation:

We need to find area of the triangle, given the vertices:

A=(4,0)

B=(1,5)

C=(7,5)

The formula used is: $Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))$

We have: $x_1 =4, y_1 =0, x_2 =1, y_2=5, x_3=7 , y_3=5$

Putting values and finding area

$Area\:of\:triangle=\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))\\Area\:of\:triangle=\frac{1}{2}(4(5-5)+1(5-0)+7(0-5))\\Area\:of\:triangle=\frac{1}{2}(4(0)+1(5)+7(-5))\\Area\:of\:triangle=\frac{1}{2}(0+5-35)\\Area\:of\:triangle=\frac{1}{2}(-30)\\Area\:of\:triangle=-15$

We will be ignoring negative sign, because area of triangle is positive.

So, Area of triangle = 15

3 0

2 years ago

Using x as the variable, write a formula to find the perimeter of the figure. Use the formula to find the perimeter. a regular d

Mamont248 [21]

Answer:

c. 12x; 111 cm

Step-by-step explanation:

The regular dodecagon has 12 sides. Each side has a length of x=9.25 cm, and we know that the perimeter of the figure is the sum of the lengths of all the sides: Therefore, since we have 12 sides, the perimeter will be given by the product between the length of each side, x, and the number of sides, 12:

$p=12 \cdot x$