For the element to be congruent only rotations, reflections or translations are allowed to be applied
1)
(x, y) → (x, –y)=reflection
(x, y) → (x + 5, y)=translation
(x, y) → (–x, y)=reflection
->is congruent
2)
(x, y) → (x + 1, y)=translation
(x, y) → (–x, –y)=reflection
(x, y) → (2x, y)=scaling->can't be congruent
3)
(x, y) → (0.5x, 0.5y)=scaling->can't be congruent
(x, y) → (x, –y)
(x, y) → (x, y + 8)
4)
(x, y) → (x – 4, y)=translation
(x, y) → (x, y + 3)=translation
(x, y) → (3x, 3y)=scaling->can't be congruent
so 1) is the only series of transformations with a congruent solution
Answer:
12 < x
Step-by-step explanation:
In writing 12 less than a number x, the expression, 12 - x is wrong because "less than" is not the same thing as "minus" (-). Rather, the sign, "<" should have been used as follows:
12 < x.
Answer:
<h2>The answer is 5 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(1, -1) and B(4, 3)
The distance between them is
We have the final answer as
<h3>5 units</h3>
Hope this helps you
Step-by-step explanation:
This construction bisects the <em>pqr</em> angle.
This is done by placing a compass on the <em>pqr</em> angle and marking construction lines at the points <em>c </em>and <em>a</em>.
Then at where the construction lines at points <em>c </em>and <em>a </em> meet the lines <em>qr </em>and <em>qp </em>draw 2 more from that placement.
Then draw a line running through angle <em>pqr</em> and where the construction lines meet at point <em>b</em>.
Hope this helps and good luck!
4x+20=5y
Divide 5 on both sides
so your answer would be
4/5x+4=y
x+15=3y
Divide 3 on both sides
so your answer would be
3x+5=y
