Right triangle XYZ, has vertex angles at the coordinates, X(0, 0), Y(-3, 0) and Z(-3, 4) . Its image, triangle X'Y'Z' has vertex angles at the coordinates, X'(3, -5), Y'(0, -5), and Z'(0, -1). Describe the horizontal and vertical translations that map triangle XYZ onto its image, triangle X'Y'Z'. right 5; down 3 left 5; up 3 right 3; up 5 right 3; down 5

To map triangle XYZ onto its image, triangle X'Y'Z', we need to determine the horizontal and vertical translations that have been applied.

We can start by comparing the coordinates of each corresponding vertex in the two triangles:

Vertex X maps to vertex X': X(0,0) maps to X'(3,-5)

Vertex Y maps to vertex Y': Y(-3,0) maps to Y'(0,-5)

Vertex Z maps to vertex Z': Z(-3,4) maps to Z'(0,-1)

To go from X to X', we need to move right by 3 units (from x = 0 to x = 3) and down by 5 units (from y = 0 to y = -5). So the horizontal and vertical translations are: right 3; down 5.

To go from Y to Y', we need to move left by 3 units (from x = -3 to x = 0) and down by 5 units (from y = 0 to y = -5). So the horizontal and vertical translations are: left 3; down 5.

To go from Z to Z', we need to move up by 5 units (from y = 4 to y = -1). So the vertical translation is: up 5.

Therefore, the horizontal and vertical translations that map triangle XYZ onto its image, triangle X'Y'Z', are:

right 3; down 5 for vertex X

left 3; down 5 for vertex Y

up 5 for vertex Z

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Hypothesis (4 points)


Record your hypothesis as an "if, then" statement for the rate of dissolving the compounds:





Record your hypothesis as an "if, then" statement for the boiling point of the compounds:





Variables (6 points)


Independent Variable:




Dependent Variable:




Controlled Variables: