Question

Which scale drawing is a dilation that increased the size of the original object it represents?

Figure 1: Chair
Figure 2: Tree
Figure 3: Nut (From a Nut Bolt)
Figure 4: House

Answer 1

What is the length of x in decimal form to the nearest hundredth?

____ Inches

Answer 2

There's a small triangle with a length of 11.4 in. and the width of 18 in. And a bigger triangle with x length and the width of 23.4 in.

Answer 3

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

There's a small triangle with the coordinates of (12, 6) (10, 2) (12, 2). And a bigger triangle with the coordinates of (5, 9) (2, 3) (5, 3).

Answer 4

Figure 4: House

Answer 5

I'm sorry, but without additional information or context, I cannot determine the length of x.

Answer 6

To find the length of x, we can use the concept of similar triangles and set up a proportion.

The ratio of the lengths of the corresponding sides of similar triangles is equal. In this case, we can set up the following proportion:

11.4 / 18 = x / 23.4

To solve for x, we can cross-multiply and divide:

(11.4 * 23.4) / 18 = x

263.16 / 18 = x

x ≈ 14.62

Therefore, the length of x, to the nearest hundredth, is approximately 14.62 inches.

Answer 7

To find the ratio of the areas, we need to calculate the area of both triangles. We can use the formula for finding the area of a triangle given its coordinates.

For the small triangle:
A = 0.5 * [(x1 * (y2 - y3)) + (x2 * (y3 - y1)) + (x3 * (y1 - y2))]

A = 0.5 * [(12 * (2 - 2)) + (10 * (2 - 6)) + (12 * (6 - 2))]

A = 0.5 * [(0) + (-20) + (24)]

A = 0.5 * (4) = 2 square units

For the larger triangle:
A = 0.5 * [(x1 * (y2 - y3)) + (x2 * (y3 - y1)) + (x3 * (y1 - y2))]

A = 0.5 * [(5 * (3 - 3)) + (2 * (3 - 9)) + (5 * (9 - 3))]

A = 0.5 * [(0) + (-12) + (30)]

A = 0.5 * (18) = 9 square units

The ratio of the area of the smaller triangle to the larger triangle is 2/9.