OCR MEI C1 — Question 5 4 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicStraight Lines & Coordinate Geometry
TypeVerify shape type from coordinates
DifficultyModerate -0.8 This is a straightforward coordinate geometry question requiring students to calculate two or three gradients and verify that two are negative reciprocals (perpendicular). It's a standard C1 exercise with clear method and minimal steps, making it easier than average, though not trivial since it requires correct application of the perpendicularity condition.
Spec1.03b Straight lines: parallel and perpendicular relationships

5 The vertices of a triangle have coordinates ( 1,5 ), ( \(- 3,7\) ) and ( \(- 2 , - 1\) ).
Show that the triangle is right-angled.

Question 5:
AnswerMarks Guidance
EITHER distances\(^2\) \(= 20, 65, 45\) and \(20+45=65\)M1 A1 M1 A1 Pythagoras, All correct, Connection
OR 2 gradients are \(0.5\) and \(-2\) giving \(m_1m_2 = -1\)
## Question 5:
EITHER distances$^2$ $= 20, 65, 45$ and $20+45=65$ | M1 A1 M1 A1 | Pythagoras, All correct, Connection
OR 2 gradients are $0.5$ and $-2$ giving $m_1m_2 = -1$ | |

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5 The vertices of a triangle have coordinates ( 1,5 ), ( $- 3,7$ ) and ( $- 2 , - 1$ ).\\
Show that the triangle is right-angled.

\hfill \mbox{\textit{OCR MEI C1  Q5 [4]}}