A fresh water tank shaped like a rectangular prism has a length of 72 in. a width of 24 in. and a height of 25 in. The tank is f
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Triangle RST was transformed by using the rule (x,y) → (-x,-y) and the transformation is described by the transformation of 180° rotation about the origin.
Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Here we have transformed the triangle using the rotation method.
Rotation is the geometric transformation that revolves each point in a shape a predetermined number of degrees around that point. When the number of degrees is positive, the shape spins counterclockwise; when the number of degrees is negative, it rotates clockwise. The following is a broad description of how rotation about the origin can be transformed.
- (X,Y) to rotate 90° (-y, x)
- 180° rotation (x, y) (-x,-y)
- To rotate (x,y) 270° (y, -x)
Here the points change to R'(-1,-1) , S'(-3,-1) and T'(-1,-6).
A 180° rotation about the origin will be the transformation.
The triangles RST and R'S'T' are first plotted on a graph. The graph is provided for your reference below.
The original triangle RST, which was in quadrant 1, has changed to triangle R'S'T', which is in quadrant 3, as shown in the graph. The rotation around the origin is 180° from quadrant 1 to quadrant 3.
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Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.
R (1, 1)
S (3, 1)
T (1, 6) R' (–1, –1)
S' (–3, –1)
T' (–1, –6)
Which describes the transformation?
The transformation was a 90° rotation about origin.
The transformation was a 180° rotation about origin.
The transformation was a 270° rotation about origin.
The transformation was a 360° rotation about origin.
Learn more about "transformation of triangles" here-
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Given data:
The angle of the rhomes = 124 degrees.
Subject: Calculate the value of Y.
We know the opposite angle of the rhombus are equal.
in triangle ABC,
sum of three angle = 180 degrees.
Angle DCA = angle CAB
Angle BCA = angle CAD,
Angle D = angle B,
Now, We know that the sum of the interior angle of rhombus is equal to 360 degrees.
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