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Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).

Plot triangles PQR and P′Q′R′ on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)

Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)

Answer:

The scale factor from triangle PQR to P'Q'R' is 1/4.

The length of each side of the triangle is divided by 4, in other words it is multiplied by the scale factor of 4.

If P'Q'R" is reflected over the y-axis the new points would be: (1, 0) (0, 1) and (-2, 1).

No, the triangles are not congruent. There was a dilation of 1/4 in the triangles.

Step-by-step explanation:

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You are playing a game using the spinner below. The game requires that you spin the spinner twice.

List the sample space (all the possible outcomes) for the two spins. Use Y for yellow, R for red, B for blue and G for green.

EXAMPLE : Y,Y

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What is the slope of the line that goes through the points (-3, 8) and (0, 23)?


-5

-23/8

5

31/3

Find the correct plugged in formula for each figure.

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0.10=10%
0.098=9.8%
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Please help me!!!
At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour.
Write an inequality that represents t, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning.

2.
Tyler is simplifying the expression 6−2x+5+4x.

Here is his work:

6−2x+5+4x

(6−2)x+(5+4)x

4x+9x

13x

His work is incorrect. Explain the error he made.

3.
Simplify the expression 6−2x+5+4x. Hint: Your final expression shoul donly have two terms.

4.
Factor to write an equivalent expression:

36a−16

5.
Expand to write an equivalent expression:

−14(−8x+12y)

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Starting from a full tank, can Diego's family drive the car for 14 days without the warning light come on?

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What will happen? (Newton's 1st Law Egg Drop)

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List the sample space (all the possible outcomes) for selecting a letter from the word mathematics.

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HELP FAST.

One year, Regina added 5 fish to her aquarium. The next year, she added 18 more fish. Which expression can be used to find the total number of fish Regina added to her aquarium those two years? A. -18 + 5 B. 18 – 5 C. -5 – 18 D. 5 + 18.

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Which table represents values of x and y such that y = x + 4

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