Which figure has line symmetry and rotational symmetry? A B C D
2 answers:
Answer:
Figure A)
Step-by-step explanation:
Line symmetry : A line of symmetry refers to the line that divides a figure into two mirror images.
Rotational symmetry : If a shape or pattern can be rotated around a central point and remains the same, then in that case we say that it has a rotational symmetry .
In figure A),
It is a parallelogram and a parallelogram has rotational symmetry of 180º i.e order 2
Also, in figure A),
it has line of symmetry , see figure (i) .Arrow in the figure represents the line of symmetry, so this figure also has line symmetry .
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Answer:
Ker(T) has basis
Range(T) has basis
Step-by-step explanation:
If the matrix you wanted to represent is , then:
.
So, to find ker(T) you must solve the homogenous equation
Using Gauss elimination we obtain the simpler equivalent system
Then, we have that
.
We have that . On this case we say that the basis is the empty set
.
The range of is the set of vectors of the form
So,
Where the angle brakets denotes the span.