Dana draws an F on a clear piece of plastic. Which transformation would fail to preserve congruence?(1 point) Responses moving the piece of plastic down and to the left moving the piece of plastic down and to the left looking at the F through a magnifying glass looking at the F through a magnifying glass turning the piece of plastic over turning the piece of plastic over turning the piece of plastic upside down

Question

Dana draws an F on a clear piece of plastic. Which transformation would fail to preserve congruence?(1 point) Responses moving the piece of plastic down and to the left moving the piece of plastic down and to the left looking at the F through a magnifying glass looking at the F through a magnifying glass turning the piece of plastic over turning the piece of plastic over turning the piece of plastic upside down

Answer 1

Looking at the F through a magnifying glass.

Answer 2

Sorry wrong question

If you would like to dilate a square with a side length of 8 units to create a square with a side length of 20 units, what scale factor should you use? Write your answer in decimal form.(1 point)

Answer 3

To find the scale factor, we can divide the new side length (20 units) by the original side length (8 units):

Scale factor = 20 units / 8 units = 2.5

So, the scale factor should be 2.5.

Answer 4

What is the length of x in decimal form to the nearest hundredth? (1 point)

inches___
Triangle 1: 11.4 in., 18 in.
Triangle 2: x, 23.4 in.

Answer 5

To find the length of x, we can set up a proportion between the corresponding sides of the two triangles:

Triangle 1: 11.4 in., 18 in.
Triangle 2: x, 23.4 in.

Using the proportion:

11.4 / 18 = x / 23.4

Now cross-multiply and solve for x:

11.4 * 23.4 = 18 * x

266.76 = 18x

Divide both sides by 18:

x = 14.82

Therefore, the length of x, to the nearest hundredth, is 14.82 inches.

Answer 6

What is the ratio of the area of the smaller triangle in relation to the area of the larger triangle?

Triangle 1: (5,9), (2,3), (5,3)
Triangle 2: (12,6), (10,2), (12,2)

Answer 7

To find the ratio of the areas of the two triangles, we will use the formula for the area of a triangle:

Area = (1/2) * base * height

First, let's find the base and height of the two triangles:

Triangle 1:
Base = 5 - 2 = 3
Height = 9 - 3 = 6

Triangle 2:
Base = 12 - 10 = 2
Height = 6 - 2 = 4

Now, let's calculate the areas:

Area of Triangle 1 = (1/2) * 3 * 6 = 9 square units
Area of Triangle 2 = (1/2) * 2 * 4 = 4 square units

Finally, let's find the ratio of the areas:

Ratio = Area of Triangle 1 / Area of Triangle 2
= 9 / 4
= 2.25

Therefore, the ratio of the area of the smaller triangle to the area of the larger triangle is 2.25.