Difference between revisions of "Similarity test - AA postulate"

From Karnataka Open Educational Resources
Jump to navigation Jump to search
(Created page with "===Name of the activity=== Brief blurb describing what the activity. If this has been borrowed from some external web site (for example, a non OER or OER site which had this...")
 
Line 1: Line 1:
−
===Name of the activity===
+
===Objectives===
−
Brief blurb describing what the activity.  If this has been borrowed from some external web site (for example, a non OER or OER site which had this idea and based on which the activity was developed)
+
To understand two triangles are similar if any two angles of the triangles are congruent.
−
 
 
−
=== Objectives ===
 
−
Content objectives  - what content areas
 
−
 
 
−
Skill objectives - what specific skills
 
−
 
 
−
Classroom objectives - to demo peer learning, to make a classroom resource, etc -
 
−
 
 
−
All these kinds of objectives need not be there for every activity.  And no need to list them as different headings.  This is only for our reference when we are developing activities.
 
  
 
===Estimated Time===
 
===Estimated Time===
 +
45 minutes
  
 
=== Prerequisites/Instructions, prior preparations, if any ===
 
=== Prerequisites/Instructions, prior preparations, if any ===
 +
# The students should know the meaning of the terms congruent and similar.
 +
# They should understand the terms corresponding sides and angles.
 +
# They should have an idea of ratio and proportion.
  
 
===Materials/ Resources needed===
 
===Materials/ Resources needed===
 +
Digital resources: Laptop, geogebra file, projector and a pointer
 +
 
===Process (How to do the activity)===
 
===Process (How to do the activity)===
−
How to do the different steps of the activity?
+
#The teacher can initially have a warm up session regarding terms congruence, similarity and corresponding angles and ratio.
−
 
+
#She can then project the geogebra file and by moving the sliders she can change the side and angle measures and teach teh AA similarity postulate.
−
What kinds of questions you can ask for that activity
+
#Also she can let them understand that in similar triangles, the corresponding sides are proportional.
−
 
+
*Developmental Questions:
−
What are the student follow-up activities/ questions you can give?
+
#What does congruent mean ?
−
 
+
#What does similarity mean ?
−
Categories: (Subject) (Topic) (Sub-concept/topic) (Class 6) (Resource format)
+
#How can we test whether the two given figures are similar or not ?
−
 
+
#In the above two triangles, what measures of both are same ?
−
Example -  (Mathematics) (Triangle) (Area) (Perimeter) (Class 6) (Class 8) (Geogebra) (Video)
+
#Identify the corresponding sides and angles.
 +
#Is their ratio same ?
 +
#What can you say about the two triangles ?
 +
#Recall the similarity postulates.
 +
#By what postulate are the two triangles similar ?
 +
*Evaluation:
 +
#Differentiate similarity and congruence.
 +
*Question Corner:
 +
#Can the tree and its shadow be considered as similar figures ?
 +
#Can this similarity concept be used to find the height and depth of objects ? Frame any two of your own questions which can be solved using similarity postulates.

Revision as of 10:56, 29 April 2019

Objectives

To understand two triangles are similar if any two angles of the triangles are congruent.

Estimated Time

45 minutes

Prerequisites/Instructions, prior preparations, if any

  1. The students should know the meaning of the terms congruent and similar.
  2. They should understand the terms corresponding sides and angles.
  3. They should have an idea of ratio and proportion.

Materials/ Resources needed

Digital resources: Laptop, geogebra file, projector and a pointer

Process (How to do the activity)

  1. The teacher can initially have a warm up session regarding terms congruence, similarity and corresponding angles and ratio.
  2. She can then project the geogebra file and by moving the sliders she can change the side and angle measures and teach teh AA similarity postulate.
  3. Also she can let them understand that in similar triangles, the corresponding sides are proportional.
  • Developmental Questions:
  1. What does congruent mean ?
  2. What does similarity mean ?
  3. How can we test whether the two given figures are similar or not ?
  4. In the above two triangles, what measures of both are same ?
  5. Identify the corresponding sides and angles.
  6. Is their ratio same ?
  7. What can you say about the two triangles ?
  8. Recall the similarity postulates.
  9. By what postulate are the two triangles similar ?
  • Evaluation:
  1. Differentiate similarity and congruence.
  • Question Corner:
  1. Can the tree and its shadow be considered as similar figures ?
  2. Can this similarity concept be used to find the height and depth of objects ? Frame any two of your own questions which can be solved using similarity postulates.
Retrieved from "https://karnatakaeducation.org.in/KOER/en/index.php?title=Similarity_test_-_AA_postulate&oldid=30830"