[size=150]A quadrilateral has vertices [math]A=\left(0,0\right)[/math], [math]B=\left(1,3\right)[/math], [math]C=\left(0,4\right)[/math], and [math]D=\left(-1,1\right)[/math].[/size][br][br]Prove that [math]ABCD[/math] is a parallelogram.
[size=150]A rhombus has vertices at [math]\left(0,0\right)[/math], [math]\left(5,0\right)[/math], [math]\left(3,4\right)[/math], and [math]\left(8,4\right)[/math].[/size][br][br]Find the slopes of the 2 diagonals of the rhombus.[br]
What do the slopes tell you about the diagonals in this rhombus?[br]
[size=150]Show that the triangle formed with vertices at [math]\left(0,0\right)[/math], [math]\left(4,3\right)[/math], and [math]\left(-2,11\right)[/math] is a right triangle.[br][/size]
Find the area of the triangle.[br]
[size=150]Here are the graphs of the circle centered at [math]\left(0,0\right)[/math] with radius 8 and the line given by [math]4x+7y=65[/math].[/size][br][br][img]data:image/png;base64,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[/img][br][br]Determine whether the circle and the line intersect at the point [math]\left(4,7\right)[/math].
[img]data:image/png;base64,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[/img][br][br]Write equations for and graph 2 different lines perpendicular to [math]\ell[/math] and 2 different lines parallel to [math]\ell[/math].
[img]data:image/png;base64,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[/img][br][br]What is the slope of its image?
[size=100]“Suppose we want to rewrite an equation in the form [math]\left(x-h\right)^2+\left(y-k\right)^2=r^2[/math]. First, move any numbers to the right side and group terms with the same variables together on the left. Second, figure out what must be added to the set of [math]x[/math]-terms and the set of [math]y[/math]-terms to create 2 perfect square trinomials. Add those numbers to both the left and right sides of the equation. Next, rewrite the perfect square trinomials as squared binomials, and rewrite the right side in the form [math]r^2[/math]. The center and radius can now be read directly from the equation.”[br][br]Diego is unsure how to determine what needs to be added in order to get 2 perfect square trinomials. [/size]Explain how to determine the values.
[size=150]The semaphore alphabet is a way to use flags to signal messages. Here's how to signal the letter U.[br][/size][br][img]data:image/png;base64,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[/img][br][br]Describe a transformation that would take the left hand flag to the right hand flag.