When u rotated a figure 180 is the reflection the same
All matrix multiplications are associative
Always .. .A+
Sometimes . . A+
Rotation is a vector having a direction and magnitude.
Triangle ABC would be an isosceles. An isosceles triangle is defined as having two sides of equal length. This would also mean, then, that two angles in the triangle are also the same.
We cannot know.
Find the coordinates of the vertices of triangle a'b'c' after triangle ABC is dilated using the given scale factor then graph triangle ABC and its dilation
A (1,1) B(1,3) C(3,1) scale factor 3
No. Matrix addition (or subtraction) is defined only for matrices of the same dimensions.
-1,3
No, but it can be multiplied:
The new matrix is 3x3. EG:
100100 100 200
010010 x 010 = 020
001001 001 002
100
010
001
Reflecting the the x-axis (line y=0) leaves the x-coordinate unchanged and negates the y-coordinate:
(x, y) -> (x, -y)
For example:
(1, 2) -> (1, -2)
(3, -4) -> (3, 4)
Yes.
The 'x' coordinate of B is the average of the 'x' coordinates of A and C.
The 'y' coordinate of B is the average of the 'y' coordinates of A and C.
No. Multiplication of matrices is, in general, non-commutative, due to the way multiplication is defined.
1/6 of half a rotation = 1/12 of a rotation = 1/12 of 360 degrees = 360/12 = 30 degrees.
Your question doesn't seem to make any sense but if the sides of the triangle are 3, 4 and 5 then it is a right angle triangle because it complies with Pythagoras' theorem.
What is the image of point (3, 5) if the rotation is
Example: if you have a point with the coordinates (2,4), a reflection over the y-axis will result in the point with coordinates (-2,4).
The image is (-5, 3)
The y-axis is the symmetry line, so that (5, -3) and (-5, -3) are symmetric points.
It is: (-4, -3)
y = -f(x) is a reflection of y = f(x) in the x axis.
It is the axis of reflection.
It is (10, -2).