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

 

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 $\mathrm{M}.$

Ruler and compasses may be used in this question. All construction lines and arcs must be clearly shown and be of sufficient length and clarity to permit assessment.

Construct the locus of the vertices of the triangles with $\mathrm{BC}$ as base and which are equal in area to triangle $\mathrm{ABC}$.

State the locus of a point in a rhombus $\mathrm{ABCD}$, which is equidistant from $\mathrm{AB}$and $\mathrm{AD}.$

Use ruler and compasses only for the following question. All construction lines and arcs must be clearly shown.

Construct the locus of points equidistant from$\mathrm{AC}$ and $\mathrm{BC}$.