Which of the following is always true about Vertical Angles?
1 answer:
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Answer:
See explanation
Step-by-step explanation:
Consider triangles ABC and DEC. In these triangles,
- given
- given;
as vertical angles.
So,
by SAS postulate (two sides and angle between these sides of one triangle are congruent to two sides and angle between these sides of another triangle, so triangles are congruent).
Congruent triangles have congruent corresponding parts, hence,
Let's compare the given function with the model for a quadratic equation:
Since the value of a is positive, the parabola has its concavity upwards, and the function has a minimum value.
The minimum value can be found calculating the y-coordinate of the vertex:
Therefore the minimum value is -24.
If it is a Reflection you use-
X-axis: (x,-y)
y-axis: (-x, y)
y=x: (y, x)
y=-x: (-y, -x)
Rotations:
90 degree clockwise/ 270 degree counterclockwise is (y, -x)
180 degree is (-x, -y)
270 degree clockwise/ 90 degree counterclockwise is (-y, x)
Dilations are when it is multiplied by a number. So lets say your operation is dilated by 2. It will be (2x, 2y).
Last but not least is Translations. This is when it is added or subtracted to your operation. This means it goes up or down and left or right on your graph. Left and right are X, up and down are Y. Lets say we want to go up 2 and left 3. It will be (x-3, y+2).
X-axis: (x,-y)
y-axis: (-x, y)
y=x: (y, x)
y=-x: (-y, -x)
Rotations:
90 degree clockwise/ 270 degree counterclockwise is (y, -x)
180 degree is (-x, -y)
270 degree clockwise/ 90 degree counterclockwise is (-y, x)
Dilations are when it is multiplied by a number. So lets say your operation is dilated by 2. It will be (2x, 2y).
Last but not least is Translations. This is when it is added or subtracted to your operation. This means it goes up or down and left or right on your graph. Left and right are X, up and down are Y. Lets say we want to go up 2 and left 3. It will be (x-3, y+2).