Similar Triangles and Its Criteria and Construction of Similar Triangles. Mathematics State Board, Class 10: lessons, tests, tasks.

1.	Introduction
2.	Similarity
3.	Similar triangles
4.	Criteria of similarity
5.	Results on similar triangles
6.	Construction of similar triangles

1.	Multiple choice questions I Difficulty: easy	2
2.	Multiple choice questions II Difficulty: easy	2
3.	Two mark example problems I Difficulty: medium	4
4.	Two mark example problems II Difficulty: medium	4
5.	Two mark example problems III Difficulty: medium	2
6.	Two mark exercise problems I Difficulty: medium	4
7.	Two mark exercise problems II Difficulty: medium	2
8.	Two mark exercise problems III Difficulty: medium	0
9.	Two mark exercise problems IV Difficulty: medium	0
10.	Five mark example problems I Difficulty: hard	10
11.	Five mark example problems II Difficulty: hard	10
12.	Five mark example problems III Difficulty: hard	0
13.	Five mark exercise problems I Difficulty: medium	5
14.	Five mark exercise problems II Difficulty: medium	5
15.	Five mark exercise problems III Difficulty: hard	10
16.	Five mark exercise problems IV Difficulty: hard	5
17.	Five mark exercise problems V Difficulty: hard	5
18.	Five mark exercise problems VI Difficulty: hard	5
19.	Eight mark example problems I Difficulty: hard	0
20.	Eight mark example problems II Difficulty: hard	0
21.	Eight mark exercise problems I Difficulty: hard	0
22.	Eight mark exercise problems II Difficulty: hard	0
23.	Eight mark exercise problems III Difficulty: hard	0
24.	Eight mark exercise problems IV Difficulty: hard	0

1.	Find the ratio of the corresponding sides Difficulty: easy	1
2.	Find the area of the similar triangle Difficulty: easy	1
3.	Find the ratio of the areas Difficulty: easy	1
4.	Find the value of the unknown Difficulty: easy	1
5.	Find the unknown part of the triangle Difficulty: medium	2
6.	Determine the perimeter of the similar triangles Difficulty: medium	2
7.	Find the required portion of the triangle Difficulty: medium	4
8.	Find the similarity criterion Difficulty: medium	2
9.	Observe the picture and answer the questions Difficulty: medium	2
10.	Determine the length of DE Difficulty: medium	4
11.	Determine the altitude of the triangle Difficulty: hard	4
12.	Find the length of the shadow Difficulty: hard	5
13.	Determine the lengths of the remaining sides of the triangle Difficulty: hard	5
14.	Find the height of the building Difficulty: hard	5
15.	Determine the height of the man Difficulty: hard	5

1.	Check whether the triangles are similar or not Difficulty: medium	4
2.	Answer the questions IV Difficulty: hard	10

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Methodical recommendation

Similar Triangles and Its Criteria and Construction of Similar Triangles