Question 12 Marks
State the correspondence between the vertices, sides and angles of the following pairs of congruent triangles.
$\triangle\text{ABC}\cong\triangle\text{EFD}$
$\triangle\text{ABC}\cong\triangle\text{EFD}$
Answer
View full question & 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 $\angle\text{C}=\angle\text{D}$
$\text{A}\leftrightarrow\text{A},\text{B}\leftrightarrow\text{F}$ 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 $\angle\text{C}=\angle\text{D}$
In fig.In $\triangle\text{RPQ}$ and $\triangle\text{LNM}$
In fig.
In fig.In $\triangle\text{ABC}$ and $\triangle\text{ADC}$
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)
In fig.In $\triangle\text{ABC}$ and $\triangle\text{DEF}$