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Tutorialspoint
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To do :We have to find possible expressions for the length and breadth of each of the given rectangles.Solution :We know that, Area of a rectangle of length $l$ and breadth $b$ is $lb$.Therefore, factorizing the given expressions, we get, (i) Area $=25a^2 - 35a + 12$$=25a^2- 20a- 15a + ... Read More
Tutorialspoint
265 Views
To do :We have to find the possible expressions for the dimensions of the cuboids whose volumes are given.Solution :We know that, Volume of a cuboid of length $l$, breadth $b$ and height $h$ is $lbh$.Therefore, factorizing the given expressions, we get, (i) Volume $=3x^2 - 12x$$=3x(x-4)$$=3 \times x \times ... Read More
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Tutorialspoint
80 Views
To do: To give the order of rotational symmetry for each figure.Solution: The order of symmetry is the number of positions the object looks the same in a $360^{\circ}$ rotation.For the given figures, below are the order of rotational symmetry.FigureOrder of Rotational Symmetry22344563
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Tutorialspoint
29 Views
Given: Diagrams given in the question.To do: To copy the diagram and complete each shape to be symmetric about the mirror line $(s)$.Solution:A figure or object has symmetry if it can be divided into two equal pieces. In a symmetrical shape, one half is a mirror image of the other ... Read More
Tutorialspoint
34 Views
To do: To copy the figure given here. And to take anyone diagonal as a line of symmetry and shade a few more squares to make the figure symmetric about a diagonal. To find whether the figure will be symmetric about both the diagonals. Yes, the figure has more than one ... Read More
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Tutorialspoint
65 Views
Given: In the given figures, the mirror line $(i.e., \ the\ line\ of\ symmetry)$ is given as a dotted line.To do: To complete each given figure performing reflection in the dotted (mirror) line. Also to name the figure completedSolution:We draw a line passing through the center point to each shape, ... Read More
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Tutorialspoint
34 Views
Given: A line of symmetry and a hole is given in each shape in the given figure.To do: We have to find the other hole. The other hole should be at that place such that if it is divided by any line of symmetry, it will divide it into equal parts.Solution:We ... Read More
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Tutorialspoint
28 Views
A shape of an object has symmetry if it can be divided into two identical pieces. In a symmetrical shape, one half is the mirror image of the other half.When we draw a line passing through the center point in each of the shapes given in the figure for checking ... Read More
Tutorialspoint
114 Views
Reflective symmetry is a type of symmetry where one-half of the object reflects the other half of the object. It is also known as mirror symmetry. The line of symmetry can be in any direction, horizontal, vertical, slanting, etc. $(a)$. Vertical symmetry - A, H, I, M, O, T, U, V, ... Read More
What other name can you give to the line of symmetry of
$(a)$. an isosceles triangle?
$(b)$. a circle?
Tutorialspoint
109 Views
Given: $(a)$. an isosceles triangle?$(b)$. a circle?To do: To write another name that can be given to the line of symmetry of the given shapes.Solution:As known that an isosceles triangle has only one line of symmetry and this is the line segment joining a vertex to the midpoint of the ... Read More