Which equations will help you solve this problem?

1. Write a rule that will take the triangle to a congruent triangle. Write your rule as (x,y)

olga nikolaevna [1]

Transforming a shape involves changing the size and/or the location of the shape.

The rule that will take the triangle to a congruent triangle is $(x,y) \to (x,-y)$
The rule that will take the triangle to a figure that is similar is $(x,y) \to (0.5x,0.5y)$ .
The rule that will take the triangle to a figure that is not similar or congruent is $(x,y) \to (0.5x,2y)$ .

<h3>Rigid transformation</h3>

When a shape is transformed by a rigid transformation, then the image of the shape will be congruent to the original shape.

An example of a rigid transformation is a reflection over the x-axis; and the rule is:

$(x,y) \to (x,-y)$

So, a rule that will take the triangle to a congruent triangle is $(x,y) \to (x,-y)$

<h3>Nonrigid transformation</h3>

When a shape is transformed by a nonrigid transformation, then the image of the shape will not be congruent to the original shape, however the original shape and the transformed shape would be similar

An example of a nonrigid transformation is a dilation by a scale factor od 0.5; and the rule is:

$(x,y) \to (0.5x,0.5y)$

So, a rule that will take the triangle to a figure that is similar is $(x,y) \to (0.5x,0.5y)$

However, if the x and y coordinates of the shape are dilated by different scale factors, then the resulting shape would neither be similar nor be congruent to the original shape.

A rule that will take the triangle to a figure that is not similar or congruent is $(x,y) \to (0.5x,2y)$ .

Read more about transformation at:

brainly.com/question/4289712

6 0

2 years ago

Sarah's craft project uses pieces of yarn that are 1/8 yard long. She has a piece of yarn that is 3 yards long. How many 1/8 yar

Verdich [7]

If she used all of her yarn, she'd have 24 pieces. If she wanted 1.25 left, she'd have ten less because 24 • .125 = 8, and 1/4 of eight = 2, and 2 + 8 = 10.

So she'd have 14 pieces.

5 0

3 years ago

If x^2 - 6xy = z - 9y^2, make x the subject of the formula

alukav5142 [94]

$~~~~x^2-6xy=z-9y^2\\\\\implies x^2- 2\cdot x\cdot 3y + (3y)^2 - (3y)^2 = z-9y^2\\ \\\implies (x-3y)^2 -9y^2 = z-9y^2\\\\\implies (x-3y)^2 = z\\\\\implies x - 3y =\pm\sqrt z\\\\\implies x = 3y\pm\sqrt z$

4 0

2 years ago

Let A = { 0 , 2 , 4 , 6 } , B = { 1 , 2 , 3 , 4 , 5 } , and C = { 1 , 3 , 5 , 7 } . Find { x ∣ x ∈ B or x ∈ C } .

EastWind [94]

Answer:

{1, 2, 3, 4, 5, 7}

Step-by-step explanation:

x in B or C is ...

B ∪ C = {1, 2, 3, 4, 5, 7}

5 0

3 years ago

PLS HELP ME PLS I WILL MARK BRAINLIEST PLS

Vesnalui [34]

Answer:

AB = 25

Step-by-step explanation:

First things first, we know that these triangles are similar. Now let's find BC using the Pythagorean Theorem. BC = $5\sqrt5$ , this side is similar to the 5 side of the smaller triangle. That means each side of the larger triangle $\sqrt5$ times larger than the corresponding side on the small triangle. That means AB is $\sqrt5$ times larger than BC as well. So multiply BC by $\sqrt5$ get us the answer.

6 0

2 years ago