Which rectangle if reflected over the x-axis and then translated 8 units right will result in rectangle E?
2 answers:
Answer:
Rectangle D is reflected over the x-axis and then translated 8 units right will result in rectangle E
Step-by-step explanation:
The coordinates of rectangle D are:
(-1, 1)
(-1, 4)
(-3, 1) and
(-3, 4)
The rule of reflection across x-axis is given by:
Next, translate this 8 unit right which is given by:
⇒(7, -1) , (5, -1) , (5, -4) and (7, -4) represents the coordinate of rectangle E.
Therefore, Rectangle D if reflected over the x-axis and then translated 8 units right will result in rectangle E
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Answer:
See explanation
Step-by-step explanation:
Theorem 1: The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.
Theorem 2: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.
1. Start point: By the 1st theorem,
2. South-East point from the Start: By the 2nd theorem,
3. West point from the previous: By the 2nd theorem,
4. West point from the previous: By the 1st theorem,
5. West point from the previous: By the 2nd theorem,
6. North point from the previous: By the 1st theorem,
7. East point from the previous: By the 2nd theorem,
8. North point from the previous: By the 1st theorem,
8. West point from the previous: By the 2nd theorem,
9. North point from the previous: By the 1st theorem,
101. East point from the previous: By the 1st theorem,
11. East point from the previous: By the 2nd theorem,
12. South-east point from the previous: By the 2nd theorem,
13. North point=The end.
Additive indentity
n = 1
a variable is always a number itself remember 7+n
5+2 = 7
n = 1
a variable is always a number itself remember 7+n
5+2 = 7