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Give any two real-life examples for congruent shapes.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:34:55

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When one shape is placed over the other and if they superimpose one over the other, they are said to be congruent. Two figures are congruent if they have the same shape and size. Two real-life examples of congruent shapes are:$(1)$. Two mobile phones of the same model of the ... Read More

Which congruence criterion do you use in the following?
$(a)$. Given: $AC = DF$
$AB = DE$
$BC = EF$
So, $∆ABC ≅ ∆DEF$

$(b)$ Given: $ZX = RP$
$RQ = ZY$
$\angle PRQ = \angle XZY$
So

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:34:55

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$(a)$. Given: $AC = DF$$AB = DE$$BC = EF$So, the congruence criterion to show that $∆ABC ≅ ∆DEF$ is SSS[Side-Side-Side] congruence.$(b)$ Given: $ZX = RP$$RQ = ZY$$\angle PRQ = \angle XZY$So, The congruence criterion to show $∆PQR ≅ ∆XYZ$ that is SAS[Side-Angle-Side] congruence.$(c)$. Given: $\angle MLN = \angle FGH$$\angle NML ... Read More

What shape is
(a) Your instrument box?
(b) A brick?
(c) A match box?
(d) A road-roller?
(e) A sweet laddu?

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:34:54

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To do:We have to find the shapes of the given objects.Solution:(a) The shape of the instrument box is a cuboid.(b) The shape of a brick is a cuboid.(c) The shape of a matchbox is a cuboid(d) The shape of a road roller is a cylinder(e) The shape of a sweet ... Read More

Complete the following statements:
$(a)$ Two line segments are congruent if ___________.
$(b)$ Among two congruent angles, one has a measure of $70^{\circ}$; the measure of the other angle is ___________.
$(c)$ When we write $\angle A = \angle B$, we actually mean ___________.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:34:54

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$(a)$ Two line segments are congruent if the same length.$(b)$ Among two congruent angles, one has a measure of $70^{\circ}$; the measure of the other angle is $70^{\circ}$.$(c)$ When we write $\angle A = \angle B$, we actually mean $m\angle A=m\angle B$.

If $∆ABC ≅ ∆FED$ under the correspondence $ABC\Leftrightarrow FED$, write all the corresponding congruent parts of the triangles.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:34:54

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 Given: $\triangle ABC \cong \triangle FED$ under the correspondence $ABC\Leftrightarrow FED$.To do: To write all the corresponding congruent parts of the triangles.Solution: As given $\Delta ABC\cong\Delta FED$. Let us draw $\triangle ABC$ and $\triangle FED$. The corresponding congruent parts of the triangle are denoted by "$\Leftrightarrow$" here and from the diagram we can write ... Read More

Draw a rough sketch of a regular octagon. (Use squared paper if you wish). Draw a rectangle by joining exactly four of the vertices of the octagon.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:34:49

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To do:We have to draw a rough sketch of a regular octagon and draw a rectangle by joining exactly four of the vertices of the octagon.Solution:We get a rectangle by joining exactly four of the vertices of the octagon as shown in the figure.

A diagonal is a line segment that joins any two vertices of the polygon and is not a side of the polygon. Draw a rough sketch of a pentagon and draw its diagonals.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:34:49

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To do:We have to draw a rough sketch of a pentagon and draw its diagonals.Solution:The above figure is a pentagon and its diagonals are joined.

Draw a rough sketch of a regular hexagon. Connecting any three of its vertices, draw a triangle. Identify the type of the triangle you have drawn.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:34:47

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To do:We have to draw a rough sketch of a regular hexagon and draw a triangle by connecting any three of its vertices.Solution:We get an isosceles triangle by joining three of vertices of a hexagon as shown in the figure.

Say True or False :
(a) Each angle of a rectangle is a right angle.
(b) The opposite sides of a rectangle are equal in length.
(c) The diagonals of a square are perpendicular to one another.
(d) All the sides of a rhombus are of equal length.
(e) All the sides of a parallelogram are of equal length.
(f) The opposite sides of a trapezium are parallel.

Tutorialspoint

Tutorialspoint

Updated on 10-Oct-2022 13:34:43

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To do:We have to find whether the given statements are true or false.Solution:(a) We know that each angle of a rectangle is a right angle.Therefore, the given statement is true.(b) We know that the opposite sides of a rectangle are equal in length.Therefore, the given statement is true.(c) We know ... Read More

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