A greenhouse in a tri-county area has kept track of its customers for the last several years and has determined that it has abou
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Answer:
Rotation of triangle A across a point (1.5, -0.5) by 180°.
Step-by-step explanation:
Translation of a figure about a vector means translation of a figure by 3 units to the left on x-axis and 1 unit in the positive direction of the y-axis.
Rule for the translation will be,
(x, y) → [(x - 3), (y + 1)]
From the figure attached,
Vertices of the triangle A are A(1, -1), B(1, -4) and C(3, -4)
After translation new image points will be A'(-2, 0), B'(-2, -3), C'(0, -3).
After rotation of these image points 180° about the origin will be,
Rule for the rotation,
(x, y) → (-x, -y)
A'(-2, 0) → A"(2, 0)
B'(-2, -3) → B"(2, 3)
C'(0, -3) → C"(0, 3)
Therefore, A(1, -1) → A"(2, 0) is the single transformation.
Rule for this transformation which maps triangle C to A will be defined by,
Rotation of triangle A across a point (1.5, -0.5) by 180°.
Answer:
The answer is below
Step-by-step explanation:
We are asked to find the perimeter of triangle CDE. The perimeter of a shape is simply the sum of all its sides, hence:
Perimeter of tiangle CDE = |CD| + |DE| + |CE|
Given that C(4, -1), D(4, -5), E(2, -3).
The distance between two points is given as:
Therefore the lengths of the triangle are:
Perimeter of CDE = 4 + 2.83 + 2.83 = 9.66 units