Mastering Constructions & Loci

Mathematics
Grade 7
10 questions
~20 mins
0 views0 downloads

About This Worksheet

A worksheet covering Constructions & Loci for Grade 7 students. It introduces basic constructions, loci concepts, and their applications.

Worksheet Preview

Full preview • 10 questions

Mastering Constructions & Loci

Subject: MathematicsGrade: Grade 7
Name:
Date:

Untitled Worksheet

Grade Grade 7
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Using a straightedge and compass, construct the perpendicular bisector of line segment AB. (Line AB has endpoints at A(2, 3) and B(6, 7)).
[3 marks]
2.
Construct an angle of 60° at point C, with rays CA and CB, using your compass and straightedge.
[3 marks]
3.
Draw the locus of points equidistant from points P(4, 5) and Q(8, 9).
[4 marks]
4.
Construct the midpoint of a line segment with endpoints at (1, 2) and (5, 6).
[2 marks]
5.
Construct a triangle given points A(2, 2), B(6, 2), and C(4, 6). Label the triangle clearly.
[3 marks]
6.
Construct the circle with center at point D(3, 4) passing through point E(7, 4).
[2 marks]
7.
What is the locus of all points equidistant from a fixed point F? Describe your answer.
[2 marks]
8.
Given a line segment AB, construct a point P on AB such that AP = PB.
[3 marks]
9.
Find the locus of points equidistant from two intersecting lines L1 and L2 that cross at point O.
[3 marks]
10.
In a real-world scenario, a lighthouse is located at point L(10, 10). Draw the locus of points where the light beam reaches the coast line represented by the line y = 5.
[4 marks]

Quick Actions

What is Remix?

Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.

  • • Change grade level (Grade 6 → Grade 7)
  • • Swap topics (Harry Potter → Macbeth)
  • • Add more questions (10 → 15)
  • • Adjust difficulty

Details

Created
12/30/2025
Updated
12/30/2025
Type
worksheet