Similarity and congruency

tiffanysonola4036
Mind Map by tiffanysonola4036, updated more than 1 year ago
tiffanysonola4036
Created by tiffanysonola4036 over 5 years ago
17
1

Description

Mind Map on Similarity and congruency, created by tiffanysonola4036 on 09/16/2014.

Resource summary

Similarity and congruency
1 Similarity
1.1 Similar figures have the same shape but can be different sizes
1.1.1 It can either be an enlargement or reduction
1.2 Two polygons are similar if:
1.2.1 Their corresponding angles are equal (matching angles)
1.2.2 Their corresponding sides are in the same proportion
1.3 The symbol for similar is |||
1.4 If two triangles have equal corresponding angles, their corresponding sides are in proportion
1.5 If two triangles have corresponding sides in proportion, corresponding angles are equal
1.6 You have to put the triangle in the order that it corresponds with the other triangle to find out whether it is similar
2 Congruency
2.1 To prove congruency compare, sides and anlges.
2.2 Congruent means identical and equal in all respects (2 triangles must be compared)
2.3 There are 4 cases of congruency
2.3.1 1. If three sides of a triangle are respectively equal to the three sides of the other triangle then the two triangles are congruent (SSS)
2.3.1.1 2. If two sides and included angle of a triangle is respectively equal to the two sides and the included angle of another triangle ten they are congruent (SAS)
2.3.1.1.1 3.If two angles and one side of one triangle are respectively equal to two angles and the corresponding side of another triangle, they are congruent (AAS or ASA)
2.3.1.1.1.1 4.If the hypotenuse and one side of a right-angled triangle are respectively equal to the hypotenuse and one side of another right-angled triangle, they are congruent (RHS)
2.3.1.1.1.1.1 RHS - Right-angle, hypotenuse & side
2.4 The symbol for congruency ->
Show full summary Hide full summary

Similar

Congruency Theorems
Alyxandria Hodgin
Triangle
Jain Bhavy
Breaking Bad
PatrickNoonan
CHEMISTRY C1 4
x_clairey_x
Biology AQA 3.1.3 Osmosis and Diffusion
evie.daines
GCSE AQA Biology - Unit 3
James Jolliffe
GCSE REVISION TIMETABLE
rebekahanne11
CCNA Security 210-260 IINS - Exam 1
Mike M
Mapa Conceptual de Liderazgo
Andres Soto
Mapa Conceptual Comportamientos del Consumidor
kariina jaime