Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.
1. All isometries take lines to lines, rays to rays and segments to segment.
2. If A'B' is the image of AB under a translation, then A'B ? AB
3. If ABC is translated toABC, then the area of ABC may be twice the area of ABC.
4. If point O is the center of a size transformation and A is the image of A, then OA/OA is
called the scale factor of the size transformation.
1. T
2. T
3. F—The areas are equal.
4. T
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Solve the problem.Find the symmetric equations of the line of intersection of the planes x - y + z = 0 and x + 2y + 3z = 6.
A. =
=
B. =
=
C. =
=
D. =
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Solve the problem.Determine the probability that in a class of 30 students, at least two students have the same birthday. Assume that birth rates are constant throughout the year. (Hint: First determine the probability that no two students have the same birthday and then apply the complementation rule.)
A. 0.786 B. 0.746 C. 0.706 D. 0.294
Convert the numeral to Hindu-Arabic form.
A. 200 B. 2000 C. 20 D. 26
The following daily temperatures were recorded at three-hour intervals. Find the midrange of the data. Round your answer to one decimal place, if necessary.
49°, 59°, 65°, 69°, 76°, 68°, 68°, 65°, 61° a. 55° b. 68.5° c. 27° d. 62.5° e. 12°