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morpeh [17]
3 years ago
5

A reflection is a transformation that maps point Q in a figure over a line, AB, such that for point C at th intersection of AB a

nd QQ', ___ and ___
Options: are in the pic

Mathematics
1 answer:
Goshia [24]3 years ago
5 0

Answer: \overline{QC}\cong\overline{Q'C'} and \angle{ACQ} is a right angle .


Step-by-step explanation:

Given : A reflection is a transformation that maps point Q in a figure over a line, AB, such that for point C at the intersection of AB and QQ'.

We know that reflection creates a image equidistant from the line of reflection.

Thus,  \overline{QC}\cong\overline{Q'C'}

Also in reflection , a line drawn from the point is perpendicular to the line of reflection.

Therefore, \angle{ACQ} is a right angle


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1)

n         1          2         3           4         5         6

f(n)    1033    932     831      730     629     528

First term (a₁):  <u>1033 </u>          Common difference (d): <u>-101 </u>

Explicit rule:  a_{n} = 1134 - 101n    Recursive rule: a_{n} = a_{n-1} - 101

a_{n} = a_{1} + d(n - 1)

a_{n} = 1033 - 101(n - 1)

a_{n} = 1033 - 101n + 101

a_{n} = 1134 - 101n

***********************************************************************************

2)

n         1          2         3           4         5         6

f(n)   -39      -29       -19        -9          9        19

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a_{n} = a_{1} + d(n - 1)

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a_{n} = -39 + 10n - 10

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***********************************************************************************

3)

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a_{n} = 3.75 - 1.25n + 1.25

a_{n} = 5 - 1.25n


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