A dilation, centered at the origin, is applied to a figure on a coordinate plane using a scale factor of 8. Which of the following shows the correct algebraic representation for this dilation?
C.
5
If Tom runs 4 km in 30 minutes, how many minutes will it take him to run 10 km?
75 minutes
10
While shopping for a new truck, Tyler discovered he can finance his purchase at 4% simple interest for 60 months. If Tyler finances $20,000, what is the total amount Tyler will pay for the truck including interest?
A. $24,000
10
Aeden and Kayla deposited money into separate saving accounts. Their interest rates and monthly deposits are the same. Aeden initially deposited $1,200, and Kayla initially deposited $800. Which statement correctly compares their accounts?
F. Aeden's account will grow more because his initial deposit was larger.
5
Write the algebraic Representation for the transformation.
(x,y) -> ( x, -y)
10
What are the slope and the y-intercept of the line in the given graph?
Slope = 1/2 y-intercept = 2
15
See the picture
G. Save $162.50 per month for the next 4 years (will save $7,800)
$13,000 per year - $5,200 from parents = $7,800 needed for 1st year.
15
Olivia will deposit $1,530 in an account that earns 6% simple interest every year. Her sister Melinda will deposit $1,500 in an account that earns 8% interest compounded annually. Which statement at the end of 3 years is true?
D. Melinda's account will have about $84.17 more than Olivia's account.
20
The figure is rotated 180 degrees clockwise with the origin as the center of rotation to create a new figure. What rule describes this transformation?
F. (x,y) > (-x, -y)
G. (x,y) > (x, -y)
H. (x,y) > (-y, -x)
J. (x,y) > (-x, y)
F.
5
A transformation is applied to a figure to create a new figure. Which transformation does not preserve congruence?
C
15
Quadrilateral PRST is transformed according to the rule (x,y) > (x + 9, y + 4) to create quadrilateral P'R'S'T'. Which statement is true?
G. Corresponding angles of transformed figures remain congruent.
10
In each diagram, line p is parallel to line f, and line t intersects lines p and f. Based on these diagrams, which statement is true?
A.
10
The coordinates of the vertices of the triangle shown are P (2, 13), Q (7, 1) and R (2, 1). What is the length of segment PQ in units?
13
10
Which measurement could NOT represent the side lengths of a right triangle?
C
10
Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral A'B'C'D'. Which rule best represents the dilation that was applied to quadrilateral ABCD to create quadrilateral A'B'C'D'?
H. It's the only answer choice that has a scale factor greater than 1.
10
Figure I and Figure II are similar pentagons. Which proportion must be true?