Congruent Shapes Flashcards

GCSE Mathematics (Edexcel) 1MA1

Congruent Shapes

Shapes that are identical in size and shape. They have the same angles and side lengths.

1 / 10

Ready to master these flashcards?

Sign in to study with spaced repetition and track your progress.

Sign In to Track Progress

Terms in this set (10)

1

Congruent Shapes

Shapes that are identical in size and shape. They have the same angles and side lengths.

2

Conditions for Congruence

Two shapes are congruent if they can be mapped onto each other using a combination of transformations: reflection, rotation, or translation.

3

SSS Congruence Rule

Two triangles are congruent if all three sides of one triangle are equal to the corresponding sides of the other triangle.

4

SAS Congruence Rule

Two triangles are congruent if two sides and the included angle of one triangle are equal to the corresponding sides and angle of the other triangle.

5

ASA Congruence Rule

Two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding angles and side of the other triangle.

6

RHS Congruence Rule

Two right-angled triangles are congruent if the hypotenuse and one other side of one triangle are equal to the corresponding parts of the other triangle.

7

Transformations and Congruence

Congruent shapes can be mapped onto each other using transformations such as reflection, rotation, or translation.

8

Congruence vs Similarity

Congruent shapes are identical in size and shape, while similar shapes have the same shape but different sizes (proportional).

9

Proving Congruence

To prove two shapes are congruent, use one of the congruence rules (SSS, SAS, ASA, RHS) and show all corresponding parts are equal.

10

Real-Life Example of Congruence

Two identical jigsaw puzzle pieces are congruent because they are the same size and shape.

Genie

Want to Learn More?

Get personalised lessons, quizzes, and instant feedback from your AI tutor.

Start Learning