(B) The statement is $False$.Two polygons (including quadrilaterals) are considered similar if and only if two conditions are met:$1$. Their correspon

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(B) The statement is $False$.Two polygons (including quadrilaterals) are considered similar if and only if two conditions are met:$1$. Their corresponding angles are equal.$2$. Their corresponding sides are in the same ratio (proportional).For example,a square and a rectangle have equal corresponding angles ($90^{\circ}$ each),but they are not similar because their sides are not proportional.

Class 10 Mathematics Triangles Mix Examples - Triangles

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Is the following statement true? Why?
"Two quadrilaterals are similar,if their corresponding angles are equal".

A
True
B
False
C
Cannot be determined
D
Depends on the type of quadrilateral

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Mix Examples - Triangles

In $\Delta PQR$,$PQ = 25$ and $QR = 24$. If $PR = \dots$,then $\angle R$ is a right angle.

Medium

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In $\Delta ABC$ and $\Delta PQR$,$\angle A \cong \angle P$ and $\angle B \cong \angle R$. Then,the correspondence $ABC \leftrightarrow \ldots$ is a similarity.

Medium

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In $\Delta ABC$,$m \angle B = 90^{\circ}$,$\overline{BM}$ is an altitude to the hypotenuse $\overline{AC}$,and $AM > CM$. If $BM = 12$ and $AC = 25$,find $AB$ and $BC$.

Easy

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In quadrilateral $ABCD$,$m\angle B = 90^{\circ}$. If $AD^{2} = AB^{2} + BC^{2} + CD^{2}$,prove that $\angle ACD$ is a right angle.

Medium

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In $\Delta ABC$,$\overline{AB} \cong \overline{AC}$ and $\overline{AD}$ is a median. If $AD = 12$ and $BC = 18$,then the area of $\Delta ABC$ is.............

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Is the following statement true? Why?"Two quadrilaterals are similar,if their corresponding angles are equal".

Similar Questions

In $\Delta PQR$,$PQ = 25$ and $QR = 24$. If $PR = \dots$,then $\angle R$ is a right angle.

In $\Delta ABC$ and $\Delta PQR$,$\angle A \cong \angle P$ and $\angle B \cong \angle R$. Then,the correspondence $ABC \leftrightarrow \ldots$ is a similarity.

In $\Delta ABC$,$m \angle B = 90^{\circ}$,$\overline{BM}$ is an altitude to the hypotenuse $\overline{AC}$,and $AM > CM$. If $BM = 12$ and $AC = 25$,find $AB$ and $BC$.

In quadrilateral $ABCD$,$m\angle B = 90^{\circ}$. If $AD^{2} = AB^{2} + BC^{2} + CD^{2}$,prove that $\angle ACD$ is a right angle.

In $\Delta ABC$,$\overline{AB} \cong \overline{AC}$ and $\overline{AD}$ is a median. If $AD = 12$ and $BC = 18$,then the area of $\Delta ABC$ is.............

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Is the following statement true? Why?
"Two quadrilaterals are similar,if their corresponding angles are equal".