the Answer:
Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.
Step-by-step explanation:
A dilation is a transformation that produces an image that is the same shape as the original but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. The center of dilation is a fixed point in the plane about which all points are expanded or contracted. The center is the only invariant (not changing) point under a dilation (k ≠1), and may be located inside, outside, or on a figure.
Note:
A dilation is NOT referred to as a rigid transformation (or isometry) because the image is NOT necessarily the same size as the pre-image (and rigid transformations preserve length).
What happens when scale factor k is a negative value?
If the value of scale factor k is negative, the dilation takes place in the opposite direction from the center of dilation on the same straight line containing the center and the pre-image point. (This "opposite" placement may be referred to as being a " directed segment" since it has the property of being located in a specific "direction" in relation to the center of dilation.)
Let's see how a negative dilation affects a triangle:
Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.
Answer:
- reflection across line m
- rotation about point A'
Step-by-step explanation:
The problem statement tells you exactly what the transformations are.
The first transformation is reflection across line m.
The second transformation is rotation about point A'.
_____
These are both rigid transformations, so ΔABC ≅ A'B''C''.
Answer:
0.67 / 100 : 31^3 : 31^3 / 25cm^3
x 10
0.67 / 100 = 67 / 10000000 grams/cm : 29791 / 15625 / 29791
149253.731 : 0.52
divide by 1000
= 149.253731
= 149.3 kg
Ratio kg = 149.3 : 0.5
Step-by-step explanation:
Mole Ratio
The mole ratio compares the number of moles in a balanced equation.
This is the comparison between the coefficients in front of the chemical formulas.
If a formula lacks a coefficient, it is the same as saying there is 1 mole of that species.
Mole ratios are used to predict how much product a reaction forms or to determine how much reactant is needed to make a set amount of product.
Mole Ratio Units
Mole ratio units are either mole:mole or else it is a dimensionless number because the units cancel out. For example, it's fine to say a ratio of 3 moles of O2 to 1 mole of H2 is 3:1 or 3 mol O2: 1 mol H2.
Answer:
all are true other than NONE OF THE ABOVE
Step-by-step explanation:
Hope this helps. let me know if any questions.