Answer:
B. rotation 90° counterclockwise about the origin.
Step-by-step explanation:
Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.
Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.
In the given question, ∆ABC is mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.
If it doesn't matter whether the points are integers or not you can just pick a number for either y or x and solve for the other variable. For example, if you pick 3 to be your x, plug it in and then solve for y. Start out with:
Plug in 3 for x:
. Then,
. Subtract 21 from both sides and then divide by -3 on both sides. You end up with y=-7 so one of your points is (3, -7)
Answer:
x = 42°
y = 69°
Step-by-step explanation:
From the picture attached,
Given triangle is an isosceles triangle.
Therefore, two sides will be equal and measure 8 yd.
Measure of 3rd side of the triangle = 6 yd
Perimeter of the garden = 8 + 8 + 6
= 22 yd
In an isosceles triangle, opposite angles of the equal sides will be equal.
Therefore, y = 69°
By the property of interior angles of a triangle,
x° + y° + 69° = 180°
x° + 69° + 69° = 180°
x = 180 - 138
x = 42°
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Neither of the equations are parallel or perpendicular
