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levacccp [35]
3 years ago
9

Which rule is an example of rigid transformation?

Mathematics
1 answer:
GalinKa [24]3 years ago
6 0

We know that

Rigid transformation:

A rigid transformation (also called an isometry) is a transformation of the plane that preserves length.

Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations"

so, it's length must be preserved

now, we will check each option

option-A:

we have (x,3y)

y-value changes but x-value will remain same

It changes length

so, this is not rigid transformation

option-B:

we have (3x,y)

x-value changes but y-value will remain same

It changes length

so, this is not rigid transformation

option-C:

(2x, y+2)

It changes length of x-value

but it is only shifting y-value

so, it changes length

so, this is not rigid transformation

option-D:

Both shifts values

but it's length will always be same

so, this is rigid transformation..............Answer

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Which relationship is always true for the angles x, y, and z of triangle ABC? A triangle is shown with a leg extending past the
nlexa [21]

Answer:

y+z=x

Step-by-step explanation:

we know that

The <u>Exterior Angle Property of a Triangle</u> states that the measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles

In this problem

Angle y and angle z are interior angles of triangle ABC and angle x is a exterior angle of triangle ABC

therefore

Applying the Exterior Angle Property of a Triangle

y+z=x

4 0
3 years ago
One number is 7 times another number. The product of the two numbers is 252. Find the two numbers.
Nitella [24]

Step-by-step explanation:

x =7y ----(1)

xy=252 ----(2)

(1) into (2):

(7y)(y) = 252

7 {y}^{2}  = 252 \\ 7y =  \sqrt{252}

7y=15.874....

y=2.27

y value into (1)

x= 7(2.268)

x=15.87

the two numbers are 15.87 and 2.27 (Ans)

6 0
2 years ago
Estimate the sum of 487 and 310
Anika [276]
487 and 310 round to 800
8 0
3 years ago
Read 2 more answers
In the right triangle shown in the diagram below,
adelina 88 [10]

QUESTION :-

what is the value of x to the nearest whole number?

ANSWER :-

\cos( \theta)  =   \frac{base}{hypotenuse}  \\  \cos(30)  =  \frac{x}{24}  \\  \frac{ \sqrt{3} }{ \cancel2}  =  \frac{x}{ \cancel{24}}  =  \frac{x}{12}  \\ 1.732 =  \frac{x}{12}  \\ 12 \times 1.732 = x \\ x = 20.7

SO

the nearest whole number-->

20.7 --> approximately --> 21 units

5 0
2 years ago
Help..........................
kogti [31]

Answer:

D

Step-by-step explanation:

I'm not certain but I guess that's it

5 0
2 years ago
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