Lennox concluded: "It's not possible to map \triangle DCE△DCEtriangle, D, C, E onto \triangle ABE△ABEtriangle, A, B, E using a s
equence of rigid transformations and dilations, so the triangles are not similar."
1 answer:
Answer:
Lennox was curious if triangles \triangle ABE△ABEtriangle, A, B, E and \triangle DCE△DCEtriangle, D, C, E were similar, so she tried to map one figure onto the other using a reflection and a dilation. Lennox concluded: "It's not possible to map \triangle DCE△DCEtriangle, D, C, E onto \triangle ABE△ABEtriangle, A, B, E using a sequence of rigid transformations and dilations, so the triangles are not similar." What error did Lennox make in her conclusion?
Step-by-step explanation:
A rigid transformation is also called an isometry. The transformation of the plane has preserved the size of the triangle (object). So after transformation, the triangle size does not change.
A dilation is an enlargement or reduction of a triangle (object) by a scale factor and with a center of dilation. The scale factor refers to the change in size.
A dilation is a transformation that produces a triangle (object) that is the same shape as the original but is a different size. After dilation, the pre-triangle (pre-object) and triangle (object) have the same shape but not the same size.
Similar figures (object) means figures (object) that have the same shape but may have different sizes.
The figure is not similar, we can not map triangle DCE onto the triangle ABE, both shapes are different.
Line CD can not dilate to line AB with same scale factor.
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The function range of {y|y ≤ 5} is f(x)=-(x-4)^4+5.
Since the range has less than a sign, this means that the parabola is
facing downwards and it means that a is negative.
The range is given by
Since the range is
This means that k = 5 , and since a is negative
The correct function is
To learn more about the range visit:
Step-by-step explanation:
m1 * m2 = -1
-4/3 * m2 -1
m2 = 3/4
y - 4 = 3/4 ( x - 5)
y = 3x/4 - 15/4 + 4
y = 3x/4 - 1/4
y = 1/4 (3x - 1)
Answer:
1 ) 49,062.5 feet square
2) 64 π inch square .
3) 9 π meter square .
4) 289 π ft square.
5) 225 π cm square .
Step-by-step explanation:
1) From the above figure we can see that diameter of pond is given as 250 ft.
So we easily calculate the area of circular pond by using the area formula of circle.
AREA
= 0.785 × 250 × 250 ft square
= 49,062.5 ft square .
2) In the second figure diameter is given as 16 inches .
AREA
=
= 64 π inch square .
3) Here the diameter is given as 6 m .
AREA
= 9 π meter square .
4) Here the radius is 17 ft .
AREA = π × radius ×radius
= π × 17 × 17 ft. square .
= 289 π ft square.
5) Here the radius is give as 15 cm.
AREA = π × radius ×radius .
= π × 15 × 15 cm square .
= 225 π cm square .