Use the expression 4z + 8 + 3x + b to answer the following
1 answer:
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Given:
The vertices of a triangle are R(3, 7), S(-5, -2), and T(3, -5).
To find:
The vertices of the triangle after a reflection over x = -3 and plot the triangle and its image on the graph.
Solution:
If a figure reflected across the line x=a, then
The triangle after a reflection over x = -3. So, the rule of reflection is
The vertices of triangle after reflection are
Similarly,
And,
Therefore, the vertices of triangle after reflection over x=-3 are R'(-9,7), S'(-1,-2) and T'(-3,-5).
Answer:
Hence, a regular polygon that has a minimum rotation of 45 degrees to carry the polygon onto itself is:
A. octagon.
Step-by-step explanation:
We know that the for a regular polygon with 'n' sides the minimum rotation that can carry the polygon onto itself is:
Here we are given the minimum angle of rotation such that polygon is transformed to itself as 45 degree.
i.e. we have:
Hence, the number of sides of a polygon are 8.
Hence, the polygon is:
A. octagon.
( Since a polygon with 8 sides is called a octagon)