Question

(1) Fill in the blanks.
(i) The perpendicular bisectors of the sides of a triangle are ...... .
(ii) If G is the point of concurrence of the medians of ∆PQR, then the line RG bisects ....... .

(2) In ∆PSI, m∠S = 90° and ST ⊥ PI. Draw ∆PSI and name its altitudes.

(3) Name the medians in the given figure.

Answer 1

(1) (i) The perpendicular bisectors of the sides of a triangle are concurrent.
(ii) If G is the point of concurrence of the medians of ∆PQR, then the line RG bisects seg PQ.

(2)

An altitude of a triangle is the perpendicular drawn from a vertex to the opposite side of the triangle.
∴ In the figure above, the altitudes are seg PS, seg SI and seg ST.

(3) The line segment joining any vertex of a triangle to the mid-point of its opposite side is called the median of the triangle.
∴ In the figure above, the medians are:
AE is the median of BC.
BD is the median of AC.
CF is the median of AB.