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3 years ago

Complete the statement: In a glide reflection, the direction of the ______ must be parallel to the line of reflection.

1 answer:

8 0

<span>The correct option is "translation"
In geometry, a glide reflection is a type of isometry of the Euclidean plane: the combination of a reflection in a line and a translation along that line. Reversing the order of combining gives the same result. Depending on context, we may consider a reflection a special case, where the translation vector is the zero vector. The combination of a reflection in a line and a translation in a perpendicular direction is a reflection in a parallel line. However, a glide reflection cannot be reduced like that. Thus the effect of a reflection combined with any translation is a glide reflection, with as special case just a reflection.</span>

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Select all the roots of the following equation.

strojnjashka [21]

Answer:

5, -9

Step-by-step explanation:

(x - 5)(x + 9) = 0 These are factors, to get the roots, just set each one equal to zero

x - 5 = 0

x = 5

x + 9 = 0

x = -9

6 0

3 years ago

Read 2 more answers

Three streets intersect to form a right triangle as shown below. The parts of streets that make up the legs of this triangle are

Burka [1]

Answer:

70 yd.

Step-by-step explanation:

The three streets at the intersection form a right triangle.

For a right triangle, the length of the longest side (called hypothenuse) is given by Pythagorean's theorem:

$h=\sqrt{x^2+y^2}$

where

x is the length of the 1st side

y is the length of the 2nd side

h is the length of the hypothenuse

Here we want to find the hypothenuse.

We have:

x = 42 yd (length of the 1st side)

y = 56 yd (length of the 2nd side)

Substituting, we find h:

$h=\sqrt{42^2+56^2}=70 yd$

7 0

3 years ago

If a= (-1,-3) and b= (11,8), what is the length of AB?

Margarita [4]

Answer:

4.80 units (3 s.f.)

Step-by-step explanation:

$distance \: formula \\ = \sqrt{(x1 - x2)^{2}+ (y1 - y2)^{2} }$

Hence, length of AB

= √(11+1)^2 - (8+3)^2

= √ 12^2 -11^2

= √ 23

= 4.80 units (3 s.f.)

6 0

3 years ago

In a group of 31 students, 7 study both Art and Biology.

ale4655 [162]

Answer:

it is 358

Step-by-step explanation:

Hope this helped have an amazing day!

7 0

3 years ago

Si un triángulo tiene una hipotenusa de 15 cm y un cateto que mide 12 cm, ¿cual es la longitud del otro cateto?

BartSMP [9]

Answer:

9cm

Explicación:

El teorema de pitagoras nos dice que la hipotenusa al cuadrado es igual a la suma de los catetos al cuadrado:

$c^{2} =a^{2} + b^{2}$

Donde c es la hipotenusa y a y b son los catetos.

Por lo cual, podemos reemplazar c por 15cm y a por 12cm :

$15^{2} =12^{2} +b^{2}$

Finalmente , debemos resolver la ecuación para b, así que b es igual a :

$225=144+b^{2} \\225-144=144+b^{2} -144\\81=b^{2} \\\sqrt{81} =b\\9=b$

Por lo tanto, la longitud del otro cateto es 9 cm

3 0

3 years ago