Question

1.

A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The image of B, point B', has the coordinates (2, –3). What is the scale factor of the dilation?

110

15

5

10
2.
A triangle has vertices at A(–2, 4), B(–2, 8), and C(6, 4). If A' has coordinates of (–0.25, 0.5) after the triangle has been dilated with a center of dilation about the origin, which statements are true? Check all that apply.

The coordinates of C' are (0.75, 0.5).

The coordinates of C' are (1.5, 1).

The scale factor is 18
.

The scale factor is 8.

The scale factor is 14
.

The scale factor is 4.

The coordinates of B' are (-0.25, 1).

The coordinates of B' are (-0.5, 2).
3.
What is the scale factor of a triangle with a vertex of A(–6, 4) that has been dilated with a center of dilation at the origin so the vertex of its image is A'(–24, 16)?
4.
Three transformations will be performed on triangle ABC. Which set of transformations will always produce a congruent triangle?

Dilation, rotation, translation

Reflection, dilation, translation

Rotation, reflection, dilation

Rotation, translation, reflection

Answer 1

Answer:The scale factor is \frac{1}{5}

Explanation:

Answer 2

Question (1):
The scale factor is
`(1)/(5)`

Question (2):
scale factor =
`(1)/(8)`
coordinates of C' are (0.75 , 0.5)
coordinates of B' are (-0.25,1)

Question (3):
The scale factor is 4

Question (4):
Rotation, translation, reflection

Exact steps and explanation for each question are shown in the attached images.

Hope this helps :)