Constructing Triangles Flashcards

GCSE Mathematics (Edexcel) 1MA1

Constructing a triangle given three sides (SSS)

Use a ruler to draw the first side to scale. Use a compass to draw arcs for the other two sides from the endpoints of the first side. The intersection of the arcs gives the third vertex.

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Terms in this set (10)

1

Constructing a triangle given three sides (SSS)

Use a ruler to draw the first side to scale. Use a compass to draw arcs for the other two sides from the endpoints of the first side. The intersection of the arcs gives the third vertex.

2

Constructing a triangle given two sides and an included angle (SAS)

Draw the first side to scale. Use a protractor to measure the given angle at one endpoint. Draw the second side to scale along the angle. Connect the endpoints to form the triangle.

3

Constructing a triangle given two angles and a side (ASA)

Draw the given side to scale. Use a protractor to measure and draw the two angles at the endpoints of the side. Extend the lines until they meet to form the triangle.

4

What is the SSS condition for constructing triangles?

SSS stands for Side-Side-Side, where all three sides of the triangle are given.

5

What is the SAS condition for constructing triangles?

SAS stands for Side-Angle-Side, where two sides and the included angle are given.

6

What is the ASA condition for constructing triangles?

ASA stands for Angle-Side-Angle, where two angles and the included side are given.

7

Tools needed for constructing triangles

A ruler, compass, and protractor are typically required for constructing triangles accurately.

8

How to check if a triangle construction is accurate

Verify that the sides and angles match the given measurements using a ruler and protractor.

9

What is the importance of the included angle in SAS?

The included angle is the angle formed between the two given sides, and it determines the shape of the triangle.

10

Why is it important to use a sharp pencil in constructions?

A sharp pencil ensures precise and accurate lines, which is essential for accurate constructions.

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