The basic rigid motions are A) Translation, reflections and rotations
In other words, we can shift an object, mirror it over a line, or turn it, to keep the same basic size and shape of the object. The object keeps the same area and perimeter, as well as the angles and sides staying the same as well.
A transformation that isn't a rigid motion would be a dilation. A dilation enlarges or shrinks a figure, so it doesn't keep the same size (though it keeps the same shape to make the before and after figures similar).
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A turn is also called A) rotation
A rotation needs to have information about what center point you're turning around. Often this is the origin. You'll also need the amount of rotation applied, as well as if you're going counterclockwise or clockwise.
Try this solution/explanation:
<u>way 1</u>:
rule: for an equation where no roots P+Q=0. It means, Px-Qx=0, ⇔ x(P-Q)=0, ⇔ P=Q.
for answer 'D' P=Q=15.
<u>way 2</u>:
rule: if an equation of the line has a form y=kx+b, then y₁||y₂ if k₁=k₂. It means, for y₁=Px-45 || y₂=Qx+75, then P=Q. P=Q, if 'D' answer.
Answer: D
18.56 feet
Catie creates a similar triangle with the ladder so we can create a proportion to solve for the height.
Convert all values to feet . 16in = 1.33 ft . 5ft 6 in = 5.5 ft
Insert values into proportions
Cross multiply to get
24.75=1.33x
divide both sides by 1.33
x=18.56ft
5 divided by 1/4 is 20, so he will have 20 pieces of 1/4 meter twine
