A translation is shown on the grid below.
2 answers:
Answer:
The correct options are 1, 4 and 7.
Step-by-step explanation:
From the given figure it is clear that the vertices of preimage are A(-4,2), B(-4,-2) and C(-1,-2).
The vertices of image are A'(1,5), B'(1,1) and C'(4,1).
The relation between vertices of preimage and image is defined by the rule
It means the figure ABC translated 5 units right and 3 units up.
Translations a rigid transformation. It means the size and shape of image and preimage are same.
We can say that,
(a) The sides of the image and preimage are congruent.
(b) The angles in the image and angles in the pre-image are same.
(c) The image is a slide of the preimage.
(d) The image and pre-image have same shape.
(e) Each point has moved in same direction.
(f) Each point has moved the same number of units.
Therefore the correct options are 1, 4 and 7.
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Answer:
Water needed for pool = 486 cubic feet
Plastic liner required for the pool = 298.3 feet
Step-by-step explanation:
Top view of the pool is a composite figure, having one rectangle and a trapezoid.
1). Water needed for the pool = volume of the pool
Volume of the pool = Area of the base × Depth
= (Area of the rectangle + Area of the trapezoid)× depth
Area of the trapezoid =
=
= 105 ft²
Area of the rectangle = Length × width
= 11 × 1.5
= 16.5 ft²
Now, volume of the pool = (105 + 16.5) × 4
= 121.5 × 4
= 486 cubic feet
b). Liner required = surface area of the pool excluding top
= Surface area of the walls + Area of the pool base
= (Perimeter of the pool) × depth + area of the base
= (12 + 11 + 1.5 + 10.7 + 9)×4 + 121.5
= 176.8 + 121.5
= 298.3 square feet
Therefore, amount of water required = 486 cubic feet
liner needed = 298.3 square feet
