Apply the vocabulary from this lesson to answer each question.

A _____ is a transformation that proportionally reduces or enlarges a figure, such as the pupil of an eye. (dilation or scale factor)

$\triangle A B C \cong \triangle D E F, E F=x^2-7$, and BC=4x - 2. Find the values of x.

(A) -1 and 5

(B) -1 and 6

(C) 1 and 5

(D) 2 and 3

Use the decibel scale to answer the question. How much louder (more intense) is a $55$-decibel sound than a $10$-decibel sound?

Use a ruler and a protractor to draw the vector. Include a scale on the diagram. $\vec{h}=46$ feet per second $170^{\circ}$ to the horizontal

A student lies on a very light, rigid board with a scale under each end. Her feet are directly over one scale, and her body is positioned as shown in what we discussed earlier. The two scales read the values shown in the figure. What is the student’s weight?
A. 65 lb
B. 75 lb
C. 100 lb
D. 165 lb

Analyze What geometric figure will result from dilating a circle centered about the origin with a 5 -unit radius by a scale factor of 0 ?

Olivia notices that if she picks a very large scale for her y-axis, her data appear to lie more along a straight line than if she zooms the scale all the way in. She concludes that she can use this to increase her correlation coefficient and make a more convincing case that there is a correlation between the variables she is studying. Is she correct?

For this exercise, use the activity of triangle ABC above.

Find the image of triangle ABC after a dilation with center (0,0) and a scale factor of 2.5.

Two squares are related by a scale factor of 5. If the smaller square has a perimeter of 32 inches, what is the perimeter of the larger square?

Use a ruler and a protractor to draw the vector. Include a scale on your diagram. $\vec{n}=8$ meters at an angle of $24^{\circ}$ west of south

A 72-kg man stands on a spring scale in an elevator. Starting from rest, the elevator ascends, attaining its maximum speed of 1.2 m/s in 0.80 s. The elevator travels with this constant speed for 5.0 s, undergoes a uniform negative acceleration for 1.5 s, and then comes to rest. What does the spring scale register During the elevator’s negative acceleration?

A quadrilateral has vertices K(3,1), L(1,4), M(6,6), and N(11,1). Find the coordinates of the figure after a dilation with a scale factor of 0.5.

a. Plot the $I-V$ curve for a $5 \Omega$ and a $20 \Omega$ resistor on the same graph. Use a horizontal scale of $0$ to $40 \mathrm{~V}$ and a vertical scale of $0$ to $2 \mathrm{~A}$. b. Which is the steeper curve? Can you offer any general conclusions based on results? c. If the horizontal and vertical scales were interchanged, which would be the steeper curve?

Sketch the image of a line segment with endpoints A(-2, -5) and B(1, -1) under a dilation centered at the origin with a scale factor of 1.5.