Higher November 2023 Paper 4 Q15
15 P, Q, T and V are points on the circumference of a circle.
TV is a diameter of the circle.
M is a point on PQ such that PM = MQ.
Not to scale
Complete these sentences to show that triangle TMP is congruent to triangle TMQ.
Side PM = side MQ because it is given to you.
Angle PMT = angle …… because ……
Side MT is ……
Triangle TMP is congruent to triangle TMQ because …… [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| QMT and [diameter bisects chord] so VT [diameter] is perpendicular to PQ [chord] | 1 | Also accept TMQ | |
| [MT is] common | 1 | accept e.g. ‘shared’ | |
| SAS | 1 | ||