Marianne Ganster, Kathy Diamond, and Siobhan O'Brien

Grade 10 Mount Saint Joseph Academy

Ways to Construct an Isosceles Triangle

You can also see our sketch.

Using the 2 radii of a circle. (radii of a circle are congruent)

Drop a diagonal through a rhombus. (sides of a rhombus are congruent)

Take 2 congruent circles and construct a point at their intersection. Connect thier pt. of intersection with the radii. ( congruent triangles have congruent radii.)

Take any segment and find it's midpoint. Draw a perpendicular segment at the midpoint. Connect the points to make the congruent legs of the Æ. (If the point lies on the perpendicular bisector of a segment, then the point is equidistant from the endpoints of the segment)

Construct a circle and two of it's tangents. Construct a point at their intersection. (tangents to a circle from a point are congruent)

Construct a square and drop it's diagonal. (sides of a square are congruent)

Construct a rectangle and it's diagonals. (diagonals of a rectangle are congruent and bisect each other)

Construct a square and it's diagonals. (diagonals of a square are congruent and bisect each other)


Return to main page