FA7 UNIT 3: COORDINATE GEOMETRY
Subject: Mathematics
Name:
I.​
Date:
Calculate the lengths of the sides of the triangle PQR. Use your answers to determine whether or
not the triangle is right angled.
a.​ 𝑃(− 4, 6), 𝑄(6, 1), 𝑅(2, 9)
b.​ 𝑃(− 5, 2), 𝑄(9, 3), 𝑅(− 2, 8)
𝑃(1, 6), 𝑄(− 2, 1) and 𝑅(3, − 2). Show that triangle PQR is a right-angled isosceles triangle
II.
and calculate the area of the triangle.
III. The coordinates if three points are 𝐴(− 6, 4), 𝐵(4, 6) and 𝐶(10, 7).
a.​ Find the gradient of AB and the gradient of BC
b.​ Use your answer to part a to decide whether or not the points A, B and C are collinear.
1
IV. Based on the image below, connect the dots to the correct formulas.
𝑥1+ 𝑥2
a. Gradient of PQ
⚫
⚫(
b. Midpoint of PQ
⚫
⚫ 𝑥 −𝑥
c. Length of segment PQ
2
𝑦1+ 𝑦2
,
2
)
𝑦2− 𝑦1
2
⚫
1
⚫ (𝑥 − 𝑥 ) + (𝑦 − 𝑦 )
2
2
1
2
2
1
2
3