UPSKILL MATH PLUS

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Thales and Angle Bisector theorem and Construction of triangles

1.	Introduction
2.	Basic proportionality or Thales theorem
3.	Angle bisector theorem and its converse
4.	Types of construction of triangle
5.	Construction of a triangle when its base, vertical angle and median are given
6.	Construction of a triangle when its base, vertical angle and altitude are given
7.	Construction of a triangle if its base, vertical angle and the point on the base are given

1.	Multiple choice question Difficulty: easy	2
2.	Fill in the blanks I Difficulty: medium	4
3.	Fill in the blanks II Difficulty: medium	4
4.	Prove the following I Difficulty: medium	5
5.	Find the lengths of the sides of triangle ABC Difficulty: hard	4
6.	Find the lengths of the sides of triangle ABC II Difficulty: hard	2
7.	Answer the questions I Difficulty: hard	10
8.	Answer the questions II Difficulty: hard	5
9.	Prove the following II Difficulty: hard	0
10.	Prove the following III Difficulty: hard	0
11.	Prove the following IV Difficulty: hard	0
12.	Prove the following V Difficulty: hard	0
13.	Prove the following VI Difficulty: hard	0
14.	Draw a triangle Difficulty: hard	0

1.	Calculate the side AD of triangle ABC Difficulty: easy	1
2.	Determine the side CB of triangle ABC Difficulty: easy	3
3.	Calculate the value of the variable Difficulty: easy	3
4.	Find the length of AE of triangle ABC Difficulty: easy	3
5.	Determine the value of the variable Difficulty: medium	4
6.	Find the side length of the triangle Difficulty: medium	4
7.	Check whether the lines of the triangle are parallel Difficulty: medium	4
8.	Determine the length of PM Difficulty: medium	4
9.	Calculate the length of PT and VQ Difficulty: medium	4
10.	Check whether CD is the bisector of angle C Difficulty: medium	4
11.	Observe the picture and answer the questions Difficulty: hard	6
12.	Determine the height of the small tree Difficulty: hard	5
13.	Calculate the height of the mother Difficulty: hard	5
14.	Verify the trees are parallel Difficulty: hard	5

1.

Answer the following questions

Difficulty: hard

9

1.

Methodical recommendation

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