EASY

Earn 100

Which of the following pairs of figures are congruent?

Important Questions on Triangles

HARD

Mathematics>Geometry>Triangles>Congruence of Objects

Let

A B C

be an acute angled triangle with

A B = 15

and

B C = 8 .

Let

D

be a point on

A B

such that

B D = B C .

Consider points

E

A C

such that

∠ D E B = ∠ B E C .

α

denotes the product of all possible values of

A E,

find

\frac{[α]}{10}

, where

[α]

is the integer part of

α .

EASY

Mathematics>Geometry>Triangles>Congruence of Objects

Mention whether the following quadrilaterals are congruent or not.
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EASY

Mathematics>Geometry>Triangles>Congruence of Objects

Which of the following statements are true and which of them are false?

All squares are congruent.

EASY

Mathematics>Geometry>Triangles>Congruence of Objects

State whether the following figures are congruent or not.

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EASY

Mathematics>Geometry>Triangles>Congruence of Objects

Two squares are congruent if they have ?

MEDIUM

Mathematics>Geometry>Triangles>Congruence of Objects

In below figure, if $A C = B D$ , prove that $A B ≅ C D$ .
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EASY

Mathematics>Geometry>Triangles>Congruence of Objects

Two rectangles are congruent if they have ?

EASY

Mathematics>Geometry>Triangles>Congruence of Objects

Three students Pia, Sia and Tia wrote a statement on a blackboard.
Pia wrote, “All rectangles are congruent”
Sia wrote, “All equilateral triangles are congruent”
Tia wrote, “All right angled triangles are congruent”
Who wrote the INCORRECT statement?

HARD

Mathematics>Geometry>Triangles>Congruence of Objects

In two quadrilaterals

ABCD

and

MNOP

AB = MN, BC = NO

∠ ABC = 90 ° = ∠ MNO

and

∠ OPM = ∠ CDA = 90 °

. Are the two quadrilaterals congruent?

EASY

Mathematics>Geometry>Triangles>Congruence of Objects

Two-line segments are congruent if they have the same _____.

EASY

Mathematics>Geometry>Triangles>Congruence of Objects

Among two congruent angles, one has a measure of $70 °$ , the measure of the other angle is _____ $°$ .

EASY

Mathematics>Geometry>Triangles>Congruence of Objects

Two angles are congruent if they have?

EASY

Mathematics>Geometry>Triangles>Congruence of Objects

In the figure below, are line segments $A B$ and $C D$ congruent?

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EASY

Mathematics>Geometry>Triangles>Congruence of Objects

Two lines segments are congruent if they have ?

EASY

Mathematics>Geometry>Triangles>Congruence of Objects

In the given figure,

A B = C D

. Prove that

A C ≅ B D .

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EASY

Mathematics>Geometry>Triangles>Congruence of Objects

When we write $∠ A = ∠ B$ , we actually mean that both the angles are _____. (equal/unequal)

EASY

Mathematics>Geometry>Triangles>Congruence of Objects

There are three squares, one with side length $5 cm$ , other with length double the first one and other with sides $5 cm$ but it is rotated by an angle. Which of them is congruent? Why?
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