Triangle Constructions

Oct 8, 2026

This educational worksheet provides a series of geometric construction exercises designed for students learning to use a compass and straightedge. It covers fundamental tasks such as copying triangles, scaling triangles to be twice or half the original size, and constructing specific types of triangles including equilateral, isosceles, and right triangles. Additionally, the document guides students through constructing triangles based on given parameters like side lengths, altitudes, and included angles, facilitating the practical application of geometric theorems.

LanguageEnglish

CategoryExam

FormatPDF

Pages8

Reading Time20 min

AccessFree to download

Geometric Construction Exercises

Scaling and Copying Triangles

Constructing Specialized Triangles

Constructing Triangles from Given Parameters

FAQs

What tools are typically required to complete these geometric constructions?

These exercises are designed to be completed using a compass and a straightedge to ensure geometric accuracy.

How do you construct a triangle that is twice as large as the original?

To construct a triangle with sides twice as long, you first measure the length of each side of the original triangle using a compass and then double that distance when marking the new vertices.

What is the process for constructing an isosceles triangle given its base and altitude?

First, draw the base segment, find its midpoint, and construct a perpendicular line through that midpoint. Then, mark a point on the perpendicular line at the distance equal to the altitude to form the apex of the triangle.

Oct 8, 2026

Uploaded by Nguyễn Văn Học