All categories

4 years ago

Which series of transformations results in the image being congruent to the pre-image?

2 answers:

7 0

To be congruent only translation, rotations and reflections are allowed
1)
(x, y) → (2x, y)=scale->not congruent
(x, y) → (x , y + 7)
(x, y) → (–x, –y)
2)
(x, y) → (x – 5, y)=translation
(x, y) → (x, –y)=reflection
(x, y) → (0.75x, 0.75y)=scale->not congruent
3)
(x, y) → (–x, y)=reflection
(x, y) → (3x, 3y)=scale->not allowed
(x, y) → (x – 9, y)
4)
(x, y) → (–x, –y)=reflection
(x, y) → (x + 4, y)=transformation
(x, y) → (x, y – 1)=transformation
->is congruent

so 4) is a series of transformations with a congruent after image

Leno4ka [110]4 years ago

5 0

Answer: I agree with the person. He is correct.

Step-by-step explanation:

You might be interested in

A regular octagon has a radius of 6 ft and a side length of

Svetlanka [38]

Answer:

<h2>Area of the regular octagon is approximately 102ft²</h2>

Step-by-step explanation:

Given the radius and length of a side of regular octagon as shown;

radius = 6ft and length of side = 4.6ft

Area of a regular octagon is expressed as $A = 2(1+\sqrt{2} )a^{2}$ where a is the length of one side. Given a = 4.6ft

Area = $A = 2(1+\sqrt{2} )(4.6)^{2}\\$

$= 2(1+\sqrt{2} )*21.16\\= (2+2\sqrt{2})*21.16\\ = 4.83*21.16\\= 102.20ft^{2} \\$

Area of the regular octagon is approximately 102ft²

3 0

3 years ago

An adult usually has 32 teeth. People sometimes lose some of their teeth. Pat has only 5/8 of her teeth left. How many teeth has

Marizza181 [45]

Answer:

twenty teeth

Step-by-step explanation:

32:8=4

4•5=20

7 0

4 years ago

Read 2 more answers

788.53 expressed to the neareast whole number

boyakko [2]

Answer:

789

.5 is a 5 or larger so the 8 goes to a 9

Step-by-step explanation:

8 0

3 years ago

Given that P = (-7, 16) and Q = (-8, 7), find the component form and magnitude of vector QP .

Katyanochek1 [597]

Answer:

a)The component form is

$\vec {QP}=\binom{ - 1}{ - 8}$

b)The magnitude is √65

c) <2,14>

Step-by-step explanation:

Recall that:

$\vec {QP}=\vec {OP}-\vec{OQ}$

We substitute the position vectors to get:

$\vec {QP}=\binom{ - 8}{7} - \binom { - 7}{15}$

We subtract the corresponding components to obtain:

$\vec {QP}=\binom{ - 8 - - 7}{7 - 15}$

This gives:

$\vec {QP}=\binom{ - 8 + 7}{7 - 15}$

This simplifies to:

$\vec {QP}=\binom{ - 1}{ - 8}$

The magnitude of a vector in the component form:

$\binom{x}{y}$

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

This means:

$|\vec {QP}|= \sqrt{ {( - 1)}^{2} + {( - 8)}^{2} }$

This simplifies to:

$|\vec {QP}| = \sqrt{ 1 + 64 }$

$|\vec {QP}| = \sqrt{ 65 }$

c) We have the vectors u = <4, 8>, v = <-2, 6>.

We want to find:

u+v

This implies that:

u+v=<4,8>+<-2,6>

We add the corresponding components to get;

u+v=<4+-2,8+6>

This simplifies to:

u+v=<2,14>

7 0

3 years ago

» Which pair of numbers has an LCM of 60?<br> 2 and 12<br> 5 and 12<br> 6 and 12<br> 3 and 12

Mariana [72]

Answer: 5 and 12

Step-by-step explanation:

2 and 12 is not it because 12 can be divided by 2 meaning that the LCM of those two numbers will be 12.

6 and 12 is not it because 12 can also be divided by 6 meaning that the LCM of 6 and 12 is also 12.

3 and 12 is also the same, 12 can be divided by 3 so their LCM will be 12.

With 5 and 12, 12 is not divisible by 5 so you will have to find the multiples of 5 and 12 and it will eventually be 60.

Multiples of 5: 5, 10,15,20,25,30,35,40,45,50,55,60,65

Multiples of 12: 12, 24, 36, 48, 60, 72

As it appears in both multiples, 60 is the least number that appears in both multiples so the LCM of 5 and 12 is 60.

3 0

3 years ago

Read 2 more answers