2 pairs of lines that intersect
A regular dodecahedron is a regular polyhedron composed of 12 equally sized regular pentagons.
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:
a. True
b. True
c. False
d. False
e. False
Step-by-step explanation:
The matrix with orthonormal column must be in square for that it forms orthogonal matrix. Every orthonormal set of non zero vector is linearly independent. This statement is correct because there is linear combination of non zero vectors.