Quadrilateral and Construction of Circumcentre and Orthocentre. Mathematics State Board, Class 9: lessons, tests, tasks.

1.	Recall about quadrilateral
2.	Types of quadrilaterals and its properties
3.	Parallelogram theorem-I, II
4.	Parallelogram theorem-III, IV, V
5.	Circumcentre, circumcircle, circumradius and orthocenter of triangle
6.	Construct circumcentre of a triangle
7.	Construct a orthocentre of a triangle

1.	Multiple choice question I Difficulty: easy	2
2.	Multiple choice question II Difficulty: easy	2
3.	Multiple choice question III Difficulty: easy	2
4.	Two marks exercise problems I Difficulty: medium	4
5.	Five marks example problems I Difficulty: hard	0
6.	Five marks example problems II Difficulty: hard	0
7.	Five marks example problems III Difficulty: hard	0
8.	Five marks example problems IV Difficulty: hard	0
9.	Five marks exercise problems I Difficulty: hard	0
10.	Five marks exercise problems II Difficulty: hard	0
11.	Five marks exercise problems III Difficulty: hard	6
12.	Five marks exercise problems IV Difficulty: hard	5
13.	Five marks exercise problems V Difficulty: hard	5
14.	Five marks exercise problems VI Difficulty: hard	5
15.	Five marks exercise problems VII Difficulty: hard	0
16.	Five marks exercise problems VIII Difficulty: hard	0
17.	Five marks exercise problems IX Difficulty: hard	0
18.	Five marks exercise problems X Difficulty: hard	0
19.	Five marks exercise problems XI Difficulty: hard	0
20.	Five marks exercise problems XII Difficulty: hard	0
21.	Five marks exercise problems XIII Difficulty: hard	0
22.	Five marks exercise problems XIV Difficulty: hard	0
23.	Five marks exercise problems XV Difficulty: hard	0

1.	Classify quadrilaterals Difficulty: easy	1
2.	Predict the quadrilateral is in given shape Difficulty: easy	1
3.	Check the quadrilateral is a parallelogram or not Difficulty: easy	2
4.	Determine the length of its two sides Difficulty: easy	2
5.	Find the interior angle of the rectangle Difficulty: medium	3
6.	Find the unknown value Difficulty: medium	3
7.	Evaluate the unknown equal angles in isosceles triangle Difficulty: medium	4
8.	Find angles measure in parallelogram Difficulty: medium	4
9.	Determine the angle of parallelogram Difficulty: medium	3
10.	Find the unknown angle if other two angles are given Difficulty: medium	3
11.	Determine the unknown angle in the right triangle Difficulty: medium	3
12.	Determine the length of all sides Difficulty: hard	4
13.	Express the interior angle of the parallelogram Difficulty: hard	4
14.	Determine the required angles Difficulty: hard	4
15.	Calculate the interior angles of parallelogram Difficulty: hard	4
16.	Estimate the unknown angle Difficulty: hard	5
17.	Find two unknown angles for the given angle ratio Difficulty: hard	4

1.	Find the angles of a quadrilateral Difficulty: medium	2
2.	Calculate x and y angles. Difficulty: hard	5
3.	Find the length of 'd' Difficulty: hard	5

1.	Training test I Difficulty: medium	11
2.	Training test II Difficulty: medium	9
3.	Training test IV Difficulty: medium	4
4.	Training test VII Difficulty: medium	8

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Methodical recommendation

Quadrilateral and Construction of Circumcentre and Orthocentre