Question:
1 answer:
A) The vertices of the ABCD square are:
(2,2), (1(4), (3,5), and (4,3).
The reflection over the x-axys keeps the same x-coordinate and changes the y-coordinate ot its negative.
So, the vertices of the square A'B'C'D' are:
(2,-2), (1,-4), (3,-5), and (4,-3).
You can see the figure attached showing the four vertices.
<span>B. Is AB congruent to A'B'? Explain
Answer:
Yes, they are congruent. You can affirm that because reflections are transformations that do not change either sizes or angles, but keep them, so the two squares are congruent.
C. Is the area of ABCD ≈ area of A'B'C'D'? Explain.
Answer:
Yes, the two areas are equal since you have shown that the two figures are congruent.
</span>
(2,2), (1(4), (3,5), and (4,3).
The reflection over the x-axys keeps the same x-coordinate and changes the y-coordinate ot its negative.
So, the vertices of the square A'B'C'D' are:
(2,-2), (1,-4), (3,-5), and (4,-3).
You can see the figure attached showing the four vertices.
<span>B. Is AB congruent to A'B'? Explain
Answer:
Yes, they are congruent. You can affirm that because reflections are transformations that do not change either sizes or angles, but keep them, so the two squares are congruent.
C. Is the area of ABCD ≈ area of A'B'C'D'? Explain.
Answer:
Yes, the two areas are equal since you have shown that the two figures are congruent.
</span>
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In 16 months, two trees will be of same height
The trees will be of 58 inches tall
<em><u>Solution:</u></em>
Let "x" be the number of months
<em><u>The maple tree that is 42 inches tall is growing 1 inch per month</u></em>
Thus, equation for maple tree is given as:
Maple tree : 42 + 1 inch (number of months)
Maple tree : 42 + x ------- eqn 1
<em><u>The oak tree that is 10 inches tall is growing 3 inches per month</u></em>
Thus, equation for oak tree is given as:
Oak tree : 10 + 3 inch (number of months)
Oak tree : 10 + 3x -------- eqn 1
<em><u>For two two trees to be equal in height, equate eqn 1 and eqn 2</u></em>
Thus, in 16 months, two trees will be of same height
<em><u>What will that height be?</u></em>
Substitute x = 16 in any one eqn
Thus the trees will be of 58 inches tall