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1. A triangle reflected in two intersecting at 40 degrees yields a triangle rotated 20 degrees about the point of intersection.

2. The magnitude of the rotation of a point is one-half the measure of the obtuse angle of the intersecting lines.

3. If the scale factor in a dilation is between zero and one, then the preimage will be larger than the image.

4. If the scale factor in a dilation is greater than one, then the preimage will be smaller than the image.

5. The orientation of the image and the preimage are the same when an odd number of reflection are performed.

6. Every angle inscribed in a semicircle is a right angle.

7. Given two points of a sphere, there is exactly one great circle that passes through them.

2007-05-22 15:18:42 · 7 answers · asked by Anonymous in Science & Mathematics Mathematics

7 answers

3) True -- the new image is smaller
4) True -- the new image is larger
5) False -- Even numbers of reflections reproduce the image
6) True -- This is one way to find a diameter, which is the edge of a semicircle.
7) False -- Great circles require diameters. It is true that any two points on a sphere can be connected with a circle, but it will not often be a great circle (or effectively an equator).

2007-05-22 15:42:47 · answer #1 · answered by Don E Knows 6 · 0 1

1 F: Assuming a missing word "lines" so the statement makes sense. (The angle is doubled, not halved.)
2 M Meaningless statement. Some specification is missing.
3 T
4 T
5 F
6 T You bet it's true!
7 F It's true only if the two points are NOT antipodal, it fails otherwise: There are infinitely many great circles (the meridians) which go through the north pole and the south pole.

2007-05-22 15:41:11 · answer #2 · answered by DrGerard 5 · 0 0

1. False. If I understand the question.
2. False
3.True
4. True
5. False
6. True
7. True

2007-05-22 15:46:20 · answer #3 · answered by ironduke8159 7 · 0 0

1. F
2. Isn't making sense to me
3. F
4. T
5. F
6. F
7. Don't know

2007-05-22 15:36:38 · answer #4 · answered by Damian 2 · 0 0

number 6 is false
i know that much

2007-05-22 15:22:23 · answer #5 · answered by *~SAMI~* 2 · 0 2

1,2,5&7 is false
3,4&6 is true

2007-05-22 21:03:55 · answer #6 · answered by SmArTy SeHeR cHaNd 4 · 0 0

1 FALSE
2FALSE
3TRUE
4TRUE
5FALSE
6TRUE
7FALSE

2007-05-22 15:33:09 · answer #7 · answered by Haigar1 1 · 0 0

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