All categories

2 years ago

When constructing an angle bisector, why must the arcs intersect?

Mathematics

2 answers:

vodomira [7]2 years ago

8 0

The correct answer is:

The arcs must intersect in order to connect to the vertex of the angle.

Explanation:

When constructing an angle bisector, we open our compass to any width, and place the point of the compass on the vertex of the angle. We then construct an arc through both sides of the angle.

Next we move the compass to the point where our constructed arc intersects one side of the angle. We then draw an arc inside of the angle.

Using the compass set to the same width, we move the compass to the point where our first arc intersects the other side of the angle, drawing an arc inside of the angle. This new arc will intersect our previous arc, creating a point.

We then use a straightedge to connect this point to the vertex of the angle, giving us our bisector.

If the two arcs did not intersect, we would not have a point to connect to the vertex.

guajiro [1.7K]2 years ago

7 0

The arcs have to intersect to give a point which will connect to the vertex of the angle that you are bisecting.

You might be interested in

Frankie wants to build a path from one corner of his yard to the opposite corner. His yard measures 20 ft. x 32 ft. What will be

riadik2000 [5.3K]

Frankie's yard is a rectangle with the longer side = 32ft and the shorter side = 20ft. You want to find the length of the diagonal going through the rectangle. In essence, you basically have a triangle with two sides, one 32ft, the other 20ft, and you're looking for the hypotenuse.

Let's call a=32, b=20, and you're looking for the hypotenuse c. Use the Pythagorean theorem:
${a}^{2} + {b}^{2} = {c}^{2}$
Plug the numbers in to find c, the length of your path! So
$\sqrt{{32}^{2} + {20}^{2}} = 37.7$

4 0

2 years ago

Read 2 more answers

What are the solution(s) of x squared minus 4 = 0? x = negative 4 or x = 4 x = negative 2 or x = 2 x = 2 x = 4

frosja888 [35]

Answer:

Step-by-step explanation:

The expression is

x^2 - 4

This is a quadratic expression.

To find the solution, we will equate the the expression to zero. It becomes

x^2 - 4 = 0

Add 4 to the left hand side of the equation and the right hand side of the equation. It becomes.

x^2 - 4 + 4 = 0 + 4

x^2 = 4

Take square root of the right hand side of the equation and left hand side of the equation. It becomes

√x^2 = √4

x = ± 2

x = 2 or x = - 2

7 0

2 years ago

Read 2 more answers

Which rule describes the composition of transformations that maps figure ABCDE to figure A"B"C'D"E"?

meriva

The composition of transformations that maps figure ABCDE to figure ${\text{A''B''C'D''E''}}$ is $\boxed{{\text{a reflection about line }}m{\text{ the rotate 18}}{{\text{0}}^ \circ }}.$

Further explanation:

The rule of transformation of the coordinates can be expressed as follows,

$\boxed{\left( {x,y} \right) \to \left( {kx,ky} \right)}$

Isometry is a mapping of space to another space so that the length between the points is same as the length in the original space. Translation and the rotation are the isometries of plane.

Explanation:

In isometric transformation the shape of the original and the image remains the same and the size of the image is same as the original.

From the attached figure it has been observed that the composition of transformations that maps figure ABCDE to figure ${\text{A''B''C'D''E''}}$ is first reflect the polygon ABCDE about line $m$ and then rotate about 180 degree anti clockwise.

The composition of transformations that maps figure ABCDE to figure ${\text{A''B''C'D''E''}}$ is $\boxed{{\text{a reflection about line }}m{\text{ the rotate 18}}{{\text{0}}^ \circ }}.$

Learn more:

Learn more about inverse of the functionhttps://brainly.com/question/1632445.
Learn more about equation of circle brainly.com/question/1506955.
Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Coordinate geometry

Keywords: image vertices, triangle, dilated, lies, same line, shift four units, left, pre-imaged, dilation, center, scale factor, four, coordinates, x-coordinates, y-coordinate, transformation rule.

4 0

2 years ago

Read 2 more answers

1/3 of Murka’s age is twice as much as Ivan’s age. What is the ratio of Murka’s age to Ivan’s age?

kenny6666 [7]

Let these two ages be i and m. Then (1/3)m = 2i, which becomes m = 6i when we multiply both sides by 3.

Ratio:

M's age 6i
---------- = ------ = 6
I's age i

M is 6 times older than Ivan.

The ratio of M's age to Ivan's is 6:1, or just 6.

4 0

2 years ago

A sphere of radius 2.3 cm fits exactly in a cylinder with the same radius. Complete the steps to determine the volume of space i

VARVARA [1.3K]

Answer:

Part 1) The volume of the cylinder is $76.41\ cm^{3}$