We are given that the
coordinates of the vertices of the rhombus are:
<span><span>A(-6, 3)
B(-4, 4)
C(-2, 3)
D(-4, 2)
To solve this problem, we must plot this on a graphing paper or graphing
calculator to clearly see the movement of the graph. If we transform this by
doing a counterclockwise rotation, then the result would be:
</span>A(-6, -3)</span>
B(-4, -4)
C(-2, -3)
D(-4, -2)
And the final
transformation is translation by 3 units left and 2 units down. This can still
be clearly solved by actually graphing the plot. The result of this
transformation would be:
<span>A′(6, -8)
B′(7, -6)
C′(6, -4)
D′(5, -6)</span>
Answer:
- <u><em>Option A. F T → F</em></u>
Explanation:
A conditional is represented by:
Where p is called the antecedent, and q is the consequent.
Thus, a conditional states that if the antecedent is true, its consequent is also true; also, if the consequent is false, then the antecedent must be false.
On the other hand, if the antecedent is true, the consequent can be either true or false.
<u>1. State the antecedent of the conditional and is truth value</u>
- Truth value: False, because 6 is not greater than 10.
<u>2. State the consequent of the conditional and its truh value</u>
- Truth value: True, because 8 times 3 is 24.
<u>3. Truth value of the conditional</u>
Hence, the truth value of the conditional is:
Which is the option A.
Yes, angle B and angle D are equal, so it is true