Sketch and describe the locus of the vertices of all triangles with a given base and a given altitude.

In the given figure, obtain all the points equidistant from lines $\mathrm{m}$and $\mathrm{n};$and $2.5 \mathrm{cm}$ from $\mathrm{O}.$

 

A straight line $\mathrm{AB}$is $8$cm long. Draw and describe the locus of a point which is always $4$ cm from the line $\mathrm{AB}$.

 

A straight line $\mathrm{AB}$is $8$cm long. Draw and describe the locus of a point which is :

equidistant from $\mathrm{A}$and $\mathrm{B}.$

Mark the two points $\mathrm{X}$and $\mathrm{Y},$ which are $4$cm from $\mathrm{AB}$and equidistant from $\mathrm{A}$and $\mathrm{B}$. Describe the figure$\mathrm{AXBY}$

Angle $\mathrm{ABC}=60°$ and $\mathrm{BA}=\mathrm{BC}=8\mathrm{cm}.$ The mid-points of $\mathrm{BA}$and $\mathrm{BC}$are $\mathrm{M}$and $\mathrm{N}$respectively. Draw and describe the locus of a point which is equidistant from $\mathrm{BA}$and $\mathrm{BC}.$

Angle $\mathrm{ABC}=60°$ and $\mathrm{BA}=\mathrm{BC}=8\mathrm{cm}.$The midpoints of $\mathrm{BA}$and $\mathrm{BC}$are $\mathrm{M}$and $\mathrm{N}$respectively. Draw and describe the locus of a point which is $4\mathrm{cm}$ from $\mathrm{M}.$

Angle $\mathrm{ABC}=60°$ and $\mathrm{BA}=\mathrm{BC}=8\mathrm{cm}.$The midpoints of $\mathrm{BA}$and $\mathrm{BC}$are $\mathrm{M}$and $\mathrm{N}$respectively. Draw and describe the locus of a point which is $4\mathrm{cm}$ from $\mathrm{N}.$ Mark the point $\mathrm{P},$ which is $4\mathrm{cm}$ from both $\mathrm{M}$ and $\mathrm{N},$ and equidistant from $\mathrm{BA}$and $\mathrm{BC}$. Join $\mathrm{MP}$ and $\mathrm{NP}$, and describe the figure $\mathrm{BMPN}.$

Draw a triangle $\mathrm{ABC}$ in which $\mathrm{AB}=6\mathrm{cm},$ $\mathrm{BC}=4.5\mathrm{cm}$ and $\mathrm{AC}=5\mathrm{cm}.$ Draw and label the locus of the centers of all circles which touch $\mathrm{AB}$and $\mathrm{AC}.$

Draw a triangle $\mathrm{ABC}$ in which $\mathrm{AB}=6\mathrm{cm},$ $\mathrm{BC}=4.5\mathrm{cm}$ and $\mathrm{AC}=5\mathrm{cm}.$ Draw and label the locus of the centres of all the circles of radius $2\mathrm{cm}$ which touch $\mathrm{AB}.$ Hence, construct the circle of radius $2\mathrm{cm}$ which touches $\mathrm{AB}$ and $\mathrm{AC}$.