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3 years ago

List the transformations that are rigid motions ? Which are not?

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

7 0

We don't even get a menu? Man.

Transformations that are rigid motions are also called isometries. They preserve size and shape.

Rigid Motions:

Translation

Rotation

Reflection

There's often another one called a

Glide Reflection

which is a combination of translation and reflection.

Not Rigid Motions:

Dilation

Obviously dilations change the size. There are also transformations that distort the figure, for example scaling the coordinates differently. Let's call them:

Stretching

Shearing

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10. What is the distance between (8,7) and (3,-5)?

Anarel [89]

Answer:

distance between points=13 units

Step-by-step explanation:

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

put $(x_1,x_2)$ =(8,7) and $(y_1,y_2)$ =(3,-5)

distance between points= $\sqrt{(3-8)^2+(-5-7)^2}$

distance between points= $\sqrt{(-5)^2+(-12)^2}$

distance between points= $\sqrt{25+144}$

distance between points= $\sqrt{169}$

distance between points=13 units answer

8 0

2 years ago

A cashier has 26 bills consisting of three times as many ones as fives, one less ten than fives, and the rest twenties. If the v

monitta

Let number of fives = x then number of ones = 3x and number of tens = x - 1

so we can create the equation

x + 3x + x-1 + y = 26 where y = number of twenties
so
5x + y = 27

also we have the equation

5x + 3x + 10(x - 1) + 20y = 120

18x + 20y = 130..................................(1)
5x + y = 27 multiply by -20:-
-100x - 20y = -540..............................(2)
Adding equation (1) and (2)
-82x = -410
x = 5, that is 5 fives

Now plug x = 5 into equation 1:-
18(5) + 20y = 130
20y = 40
y = 2 , that is 2 twenties

So the answer is there are (3x) = 15 ones , 5 fives, 4 tens and 2 twenties

7 0

3 years ago

Please please help me with this

swat32

N=1→an=a1 (first term)=16 (on the graph for n=1)→First term = 16
n=2→an=a2 (second term) = 4 (on the graph for n=2)→Second term = 4

ratio=(Second term)/(First term)=a2/a1=4/16
Simplifying the fraction dividing the numerator (4) by 4 and the denominator (16) by 4:
ratio=(4/4)/(16/4)→ratio=1/4

Answer: Option A. First term = 16, ratio = 1/4

7 0

3 years ago

Is 2,107,954 even or odd

RSB [31]

Answer:

Even

Step-by-step explanation:

Ends in 4

4 0

2 years ago

Read 2 more answers

In the diagram below qs and pt are altitudes and m r=55 what is m poq

guapka [62]

Answer: POQ = 125

Step-by-step explanation: If you don’t want to read my long explanation, I drew a diagram of my work. :>

First we need to establish that POQ is a vertical angle to SOT, this makes the angles equal. We also need to establish that because the definition of an altitude, that T And S both form right angles. (An altitude is a perpendicular segment from a vertex of a triangle to the opposite side.) Now let’s take a look at the quadrilateral that is formed inside the triangle, the quadrilateral being RSOT. Luckily we know the measure of three of the angles, R=55, T=90, and S=90. If you didn’t know beforehand all angles of a quadrilateral add up to 360, so we can add up the angles we’ve already found to find the missing angle O/ SOT. When we add the angles, and then subtract that from 360 we get 125, so SOT=125. Remember that we established that SOT and POQ are vertical angles, so if SOT=125 then POQ=125.

I really hoped my explanation was good, this was my first time giving an answer. Also I’m sorry if my method of finding the answer wasn’t helpful, but this was the only way I could think of.

I accidentally gave myself a one star rating, that sucks.

5 0

2 years ago