2 Marks Questions

Question 12 Marks

State the correspondence between the vertices, sides and angles of the following pairs of congruent triangles. $\triangle\text{ABC}\cong\triangle\text{EFD}$

Answer

$\triangle\text{ABC}\cong\triangle\text{EFD},$ Then $\text{A}\leftrightarrow\text{A},\text{B}\leftrightarrow\text{F}$ and $\text{C}\leftrightarrow\text{D}$ $\text{AB}=\text{EF},\text{BC}=\text{FD}$ and $\text{ CA}=\text{ DE}$ $\angle\text{A}=\angle\text{E},\angle\text{B}=\angle\text{F}$ and $\angle\text{C}=\angle\text{D}$

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Question 22 Marks

Given below are pairs of congruent triangles. State the property of congruence and name the congruent triangles in each case.

Answer

In fig.In $\triangle\text{RPQ}$ and $\triangle\text{LNM}$
Side $\text{PQ}=\text{NM}$
Hyp. $\text{RQ}=\text{LM}$
$\triangle\text{RPQ} \cong \triangle\text{LNM}$ (RHS condition)

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Question 32 Marks

Given below are pairs of congruent triangles. State the property of congruence and name the congruent triangles in each case.

Answer

In fig. In $\triangle\text{YXZ}$ and $\triangle\text{TRS}$ $\text{XY}=\text{RT}$ $\angle\text{X}=\text{SR}$ and $\text{YZ}=\text{TS}$ $\triangle\text{YXZ} \cong \triangle\text{TRS}$ (SSScondition)

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Question 42 Marks

Given below are pairs of congruent triangles. State the property of congruence and name the congruent triangles in each case.

Answer

In fig.In $\triangle\text{ABC}$ and $\triangle\text{ADC}$
$\text{AC}=\text{AC}$ (Common)
$\angle\text{CAB}=\angle\text{CAD}$ (each $50^\circ )$
$\angle\text{ACB}=\angle\text{DCA}$ (each $60^\circ )$
$\triangle\text{ABC} \cong \triangle\text{ADC}$ (ASA condition)

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Question 52 Marks

Given below are pairs of congruent triangles. State the property of congruence and name the congruent triangles in each case.

Answer

In fig. In $\triangle\text{DEF}$ and $\triangle\text{PNM}$
$\angle\text{E}=\angle\text{N}$
$\angle\text{f}=\angle\text{M}$
$\text{EF}=\text{NM}$
$\triangle\text{DEF} \cong \triangle\text{PNM}$ ($ASA$ condition)

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Question 62 Marks

Given below are pairs of congruent triangles. State the property of congruence and name the congruent triangles in each case.

Answer

In fig.In $\triangle\text{ABC}$ and $\triangle\text{DEF}$
$\angle\text{C}=\angle\text{E}$
$\text{CA}=\text{ED}$
$\text{CB}=\text{EF}$
$\triangle\text{ACB} \cong \triangle\text{DEF}$ ($SAS$ condition)

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Question 72 Marks

State the correspondence between the vertices, sides and angles of the following pairs of congruent triangles. $\triangle\text{CAB}\cong\triangle\text{QRP}$

Answer

$\triangle\text{CAB}\cong\triangle\text{QRP},$
$\text{C}\leftrightarrow\text{Q},\text{A}\leftrightarrow\text{R}$ and $\text{B}\leftrightarrow\text{P}$
$\text{CA}=\text{QR},\text{AB}=\text{RP}$ and$\text{ BC}=\text{ PQ}$
$\angle\text{C}=\angle\text{Q},\angle\text{A}=\angle\text{R}$ and $\angle\text{B}=\angle\text{P}$

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Question 82 Marks

State the correspondence between the vertices, sides and angles of the following pairs of congruent triangles. $\triangle\text{XZY}\cong\triangle\text{QPR}$

Answer

$\triangle\text{XZY}\cong\triangle\text{QPR},$
Then $\text{X}\leftrightarrow\text{Q},\text{Z}\leftrightarrow\text{P}$ and $\text{Y}\leftrightarrow\text{R}$
$\text{XZ}=\text{QP},\text{ZY}=\text{PR}$ and $\text{ YX}=\text{ RQ}$
$\angle\text{X}=\angle\text{Q},\angle\text{Z}=\angle\text{P}$ and $\angle\text{Y}=\angle\text{R}$

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Question 92 Marks

State the correspondence between the vertices, sides and angles of the following pairs of congruent triangles. $\triangle\text{MPN}\cong\triangle\text{SQR}$

Answer

$\triangle\text{MPN}\cong\triangle\text{SQR},$
Then $\text{M}\leftrightarrow\text{S},\text{P}\leftrightarrow\text{Q}$ and $\text{N}\leftrightarrow\text{R}$
$\text{MP}=\text{SQ},\text{PN}=\text{QR}$ and $\text{ NM}=\text{ RS}$
$\angle\text{M}=\angle\text{S},\angle\text{P}=\angle\text{Q}$ and $\angle\text{N}=\angle\text{R}$

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Maths 2 Marks Questions

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