Question

Which statement is true about line segments PS and QT? (4 points)
Point A is the centroid of triangle PQR.
Point A is the orthocenter of triangle PQR.
PS is the altitude and QT is the median of triangle PQR.
PS is the median and QT is the altitude of triangle PQR.

Answer 1

Centroid is the intersection point of all medians. Here PS is not a median. So Choice A is ruled out.

Orthocenter is the intersection point of all altitudes. Here QT is not an altitude. So Choice B is ruled out.

As we saw in 1 & 2 PS is not the median and QT is not the altitude. So choice D is ruled out.

From the drawing PS is the perpendicular to RQ so it is the altitude. So correct Choice is C

Answer 2

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