Question
In the we have $AC = DC, CB = CE$. Show that $AB = DE.$
✓
Answer
Given, $AC = DC …(i)$ and $CB = CE …(ii)$ According to Euclid’s axiom, if equals are added to equals, then wholes are also equal. So, on adding Eqs.$(i)$ and $(ii)$, we get $AC + CB = DC + CE \Rightarrow AB = DE$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Determine the point on the graph of the linear equation $2x + 5y = 19$ whose ordinate is $1\frac{1}{2}$ times its abscissa.
→A capsule of medicine is in the shape of a sphere of diameter $3.5\ mm$. How much medicine ($mm^3$) is needed to fill this capsule?
→Prove that: $\frac{1}{1+\text{x}^{\text{a}-\text{b}}}+\frac{1}{1+\text{x}^{\text{b}-\text{a}}}=1$
→If figure, if $AB\ ||\ CD$ and $CD\ ||\ EF$, find $\angle\text{ACE}.$
→Express the following in the form $\frac{\text{p}}{\text{q}},$ where $p$ and $q$ are integers and $\text{q}\neq0$:
$0.\overline{134}$
→$0.\overline{134}$
How many pairs of adjacent angles, in all, can you name in figure $10.36$.
→The radius of a cone is $5\ cm$ and vertical height is $12\ cm$. Find the area of the curved surface.
→Two lines l and m are perpendicular to the same line n. Are l and m perpendicular to each other? Give reason for your answer.
A cube of side $4\ cm$ contains a sphere touching its side. Find the volume of the gap in between.
→Draw the graph of the following equation. $y + 5 = 0$
→