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Line 45: + + + + + + + + + + + + + + − + − #Congruent figures+ − #Congruent triangles+ − #Corresponding sides and corresponding angles of congruent triangles+ − #Postulates for congruence of triangles+ − + − # Gather information about the similarities and differences between triangles+ − # Comprehend the meaning of congruent triangles - Triangles are congruent when all corresponding sides and interior angles are congruent. The triangles will have the same shape and size, but one may be a mirror image of the other. − # Utilise the newly acquired knowledge in order to solve related problems. − # Ability to draw congruent triangles − # Understand the properties of congruent Triangles:<br> − − i.e. CPCTC, which stands for "Corresponding Parts of Congruent Triangles are Congruent". − * In addition to sides and angles, all other properties of the triangle are the same also, such as area, perimeter, location of centers, circles etc. − − + Line 109:
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Similar and congruent triangles (view source)
Revision as of 08:17, 29 April 2019
, 08:17, 29 April 2019→Concept # 1. Congruent triangles
**Karnataka Govt Text book – Class 8 : [http://ktbs.kar.nic.in/new/website%20textbooks/class8/8th-english-maths-2.pdf Part 2]
**Karnataka Govt Text book – Class 8 : [http://ktbs.kar.nic.in/new/website%20textbooks/class8/8th-english-maths-2.pdf Part 2]
*Syllabus documents (CBSE, ICSE, IGCSE etc)
*Syllabus documents (CBSE, ICSE, IGCSE etc)
=== Teaching Outlines ===
=== Learning objectives ===
=== Learning objectives ===
*Analyse and identify the structure of simple triangles
* Gather information about the similarities and differences between triangles
* Comprehend the meaning of congruent triangles - Triangles are congruent when all corresponding sides and interior angles are congruent. The triangles will have the same shape and size, but one may be a mirror image of the other.
* Utilise the newly acquired knowledge in order to solve related problems.
* Ability to draw congruent triangles
* Understand the properties of congruent Triangles
====Concept 1: Identify congruent shapes====
If two triangles are congruent, then each part of the triangle (side or angle) is congruent to the corresponding part in the other triangle.
i.e. CPCTC, which stands for "Corresponding Parts of Congruent Triangles are Congruent". In addition to sides and angles, all other properties of the triangle are the same also, such as area, perimeter, location of centers, circles etc.
=====Activities #=====
=== Teaching Outlines ===
====== [[Identifying congruent shapes]] ======
====== [[Shapes that are congruent]] ======
====== [[Congruence of regular geometric shapes]] ======
====Concept # 1. Congruent triangles ====
====Concept # 1. Congruent triangles ====
# Analyse and identify the structure of simple triangles
# <br>
*
* If two triangles are congruent, then each part of the triangle (side or angle) is congruent to the corresponding part in the other triangle.
===Notes for teachers===
===Notes for teachers===
# The teacher can ask students to think of many objects which are mass-produced and that are found to be exactly the same size and shape like pens, CD-roms, cars etc.
#
===Activity No # 1. Are these triangles congruent ===
===Activity No # 1. Are these triangles congruent ===
# A pair of corresponding angles and a non-included side are equal.-- AAS (angle angle side) congruency postulate.
# A pair of corresponding angles and a non-included side are equal.-- AAS (angle angle side) congruency postulate.
# HL (hypotenuse leg of a right triangle) :Two right triangles are congruent if the hypotenuse and one leg are equal.Also known as RHS postulate.
# HL (hypotenuse leg of a right triangle) :Two right triangles are congruent if the hypotenuse and one leg are equal.Also known as RHS postulate.
=====Activities=====
====== [[Congruence in triangles – SSS Rule]] ======
====== [[Congruence in triangles – SAS Rule]] ======
===Activity No # 1. Congruency tests ===
===Activity No # 1. Congruency tests ===
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