Answer:
choice C is correct
Step-by-step explanation:
The clockwise sequence of vertices MNO is the opposite of the counterclockwise sequence of vertices M'N'O', so it seems some sort of reflection is involved.
Length NO is 3 times length N'O', but length NM is only 7/3 times length N'M', so the figures are <em>not similar</em>. (The ratios of side lengths must be the same for the figures to be similar.)
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Choice D includes only rigid transformations that would ensure congruence. Similar figures may also differ by a dilation factor, so C is the better choice.
Answer:
a° = 58°
b° = 48°
c = 74°
d° = 122°
Step-by-step explanation:
<em>Angles on a straight line add up to 180°</em>
58° + d° = 180°
d° = 180° - 58° = 122°
<em>Alternate angles are equal.</em>
a° = 58°
<em>Angles in a triangle add up to 180°.</em>
48° + 58° + c° = 180°
106° + c° = 180°
c° = 180° - 106° = 74°
<em>Angles on a straight line add up to 180°</em>
74° + 58° + b° = 180°
132° + b° = 180°
b° = 180° - 132° = 48°
Answer:
For x there is no distance since they are both for. For y, they are -6 apart.
Step-by-step explanation:
Two negatives <em>do not </em>equal a positive when adding. If you're in debt and you add more debt, does that get you out of debt?
Two negatives <em>do </em>equal a positive when you're multiplying them together though. This makes sense if you imagine multiplication as squishing or stretching a particular number on the number line. For example, imagine multiplying 2 x 1/2 as <em>squishing </em>the number 2 two times closer to 0. When you multiply 2 by a negative number, say, -1, you squish it so far down that you <em>flip it to the negative side of the number line</em>, bringing it to -2. You can imagine a similar thing happening if you multiply a number like -4 by -2. You squish -4 down to zero, and then <em>flip it to the positive side</em> and stretch it by a factor of 2, bringing it to 8.
