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svetoff [14.1K]
3 years ago
6

Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P'Q'R' has v

ertices P'(1, −2), Q'(0, 3), and R'(−1, 0).
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)
Mathematics
1 answer:
RideAnS [48]3 years ago
3 0

Answer:

I'm sorry if its not right i tried my best. have a great day!!

Step-by-step explanation:

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R' the scale factor dilation is 

Part B: The new coordinates of triangle P"Q"R" is p is at (1, -2), (0,-3), (1,0).

Part C: No, the two triangles are not congruent they are the same shape but not the same size. The Triangle P'Q'R' is much smaller than the triangle PQR.

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\text{ Since, Time} = \frac{\text{Distance}}{\text{Speed}}

Also, he drove his car from his home to New York at the rate of 45 mph,

⇒ \text{ Time taken by him in going } = \frac{x}{45}\text{ hours}

And, returned over the same road at the rate of 40 mph.

⇒  \text{ Time taken by him in returning } = \frac{x}{40}\text{ hours}

According to the question,

Time taken by him in returning - Time taken by him in going = 30 minutes = 1/2 hours,    ( 1 hours = 60 minutes )

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⇒ \frac{9x}{360}-\frac{8x}{360}=\frac{1}{2}

⇒ \frac{x}{360} = \farc{1}{2}

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Hence, the total distance from home to New York = x miles = 360 miles

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