STD IX – GEOMETRY – ARCHIMEDES
About Course
In this section we will learn the following chapters.
1.TRIANGLES
2. ISOSCLES TRIANGLES
3. INEQUALITIES
4. MID-POINT THEOREM AND ITS CONVERSE
5. PYTHAGORAS THEOREM
6. RECTILINEAR FIGURES
7.RECTILINEAR FIGURES
8. RECTILINEAR FIGURES
9.CONSTRUCTION OF POLYGONS
10.AREA THEOREM
11.CIRCLE
Last Updated:February 9, 2025
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Description
CONGRUENCY OF TRIANGLES

MIDPOINT THEOREM
Midpoint theorem states that, the line joining the midpoints of two sides of a triangle is parallel to the third side and half of the length of the third side
In △ PQR, S and T are the midpoints of side PQ and PR
∴ ST || QR
And, ST = 1/2 QR
Converse of midpoint theorem states that if a line is drawn through the midpoint of one side of a triangle, and parallel to the other side, it bisects the third side
In △ PQR, S is the midpoints of side PQ and PR, and ST || QR
∴ ST = 1/2 QR
and, T is the midpoint of side PR
Equal Intercept Theorem states that if equal intercepts are made on three or more parallel lines by a transversal, then the intercept made by any other line on these lines will also be equal.



PYTHAGORAS THEOREM

RECTILINEAR FIGURES


CIRCLES


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Free access this course
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LevelIntermediate
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Total Enrolled3
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Last UpdatedFebruary 9, 2025
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Course Duration:
0
Course level:Intermediate
Enrolled:3
About Course
In this section we will learn the following chapters.
1.TRIANGLES
2. ISOSCLES TRIANGLES
3. INEQUALITIES
4. MID-POINT THEOREM AND ITS CONVERSE
5. PYTHAGORAS THEOREM
6. RECTILINEAR FIGURES
7.RECTILINEAR FIGURES
8. RECTILINEAR FIGURES
9.CONSTRUCTION OF POLYGONS
10.AREA THEOREM
11.CIRCLE
Course Curriculum
TRIANGLE – CONGRUENCY OF TRIANGLE – FUNDAMENTAL CONCEPT
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[PHYSICAL] [JESISHA] CONGRUENCY OF TRIANGLE – TERM RELATED TO CONGRUENCY
31:39 -
[PHYSICAL] [RHEA] CONGRUENCY OF TRIANGLES – TESTS FOR CONGRUENCY
17:23 -
[PHYSICAL] [RHEA] CONGRUENCY OF TRIANGLES – TESTS FOR CONGRUENCY
17:23 -
[PHYSICAL] [JESISHA] CONGRUENCY OF TRIANGLE – PROBLEM BASED ON TEST OF CONGRUENCY
10:07 -
[PHYSICAL] [RHEA] NUMERICAL BASED ON CONGRUENCY – SUM III
12:43 -
[PHYSICAL] [JESISHA] CONGRUENCY OF TRIANGLE – PROOFS – TRANGLES PART 1
19:08 -
[PHYSICAL] [JESISHA] CONGRUENCE OF TRIANGLE PROOFS – TRIANGLES PART 2
20:08 -
[PHYSICAL] [JESISHA] CONGRUENCE OF TRIANGLE – PROOF – TRIANGLES PART 3
14:57 -
[PHYSICAL] [JESISHA] CONGRUENCY OF TRIANGLE – PROOF – TRIANGLES PART 4
24:36 -
[PHYSICAL] [JESISHA] CONGRUENCY OF TRIANGLE – PROOF – TRIANGLES PART 5
21:51 -
[PHYSICAL] [JESISHA] CONGRUENCY OF TRIANGLE – PROOF – TRIANGLES PART 6
08:35 -
[PHYSICAL] [RHEA] PROBLEMS BASED ON CONGRUENCY OF TRIANGLES – NUMERICAL I
11:15 -
[PHYSICAL] [RHEA] NUMERICALS BASED ON CONGRUENCY – SUM II
06:41 -
[PHYSICAL] [RHEA] NUMERICAL BASED ON CONGRUENCY – SUM IV
06:59 -
[PHYSICAL] [RHEA] CONGRUENCY OF TRIANGLES – NUMERICAL V
10:10 -
[PHYSICAL] [JESISHA] PROBLEM BASED ON CONGRUENCE OF TRIANGLE – PART VI
03:44 -
[PHYSICAL] [JESISHA] PROBLEM BASED ON CONGRUENCY OF TRIANGLE -TRIANGLES PART VII
16:54 -
[PHYSICAL] [RHEA] CONGRUENCY OF TRIANGLES – ALL TESTS OF CONGRUENCY AND NUMERICALS BASED ON IT -BASICS OF GEOMETRY
07:19 -
[PHYSICAL] [RHEA] CONGRUENCY OF TRIANGLES – RECAP OF ALL TESTS OF CONGRUENCY
11:30 -
[PHYSICAL] [RHEA] CONGRUENCY OF TRIANGLES – SIMPLE NUMERICAL BASED ON CPTCTC – PART I
12:51 -
[PHYSICAL] [RHEA] CONGRUENCY OF TRIANGLES – SIMPLE NUMERICAL BASED ON CPTCTC – PART II
07:13 -
[PHYSICAL] [JESISHA] CONGRUENCY OF TRIANGLES – PROOF BASED SUMS PART I
13:16 -
[ONLINE] [RHEA] TRIANGLES – REVISION – IMPORTANT SUMS
31:50 -
[PHYSICAL] [RHEA] CONGRUENCY OF TRIANGLES – PROBLEMS BASED ON FIGURES – I
22:17 -
CONGRUENCY OF TRIANGLES – [PHYSICAL] [RHEA] – PROBLEMS BASED ON FIGURES – II
21:17 -
[PHYSICAL] [RHEA] CONGRUENCY OF TRIANGLES – PROBLEMS BASED ON FIGURES – III
22:27 -
[PHYSICAL] [RHEA] CONGRUENCY OF TRIANGLES – SIMPLE APPLICATION OF TESTS OF CONGRUENCY
09:03 -
[PHYSICAL] [RHEA] CONGRUENCY OF TRIANGLES – TESTS OF CONGRUENCY
23:23 -
[PHYSICAL] [RHEA] CONGRUENCY OF TRIANGLES – NUMERICALS HOTS – PART – I
23:23 -
[PHYSICAL] [RHEA] CONGRUENCY OF TRIANGLES – NUMERICALS HOTS – PART – II
14:17 -
[PHYSICAL] [JESISHA] INEQUALITIES IN TRIANGLE – PHYSICAL CLASS – PART – I
21:29 -
[PHYSICAL] [JESISHA] INEQUALITIES IN TRIANGLE – PHYSICAL CLASS – PART – II
17:35 -
QUIZ – EXERCISE A – TRIANGLES – CONGRUENCE OF TRIANGLES PRELIMINARY
MID-POINT THEOREM – PROOF OF MID-POINT AND CONVERSE THEOREM
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[PHYSICAL] [JESISHA] MID POINT THEOREM – PROBLEMS BASED ON MIDPOINT AND CONVERSE OF MIDPOINT
04:44 -
[PHYSICAL] [JESISHA] MID – POINT THEOREM – PROOF OF CONVERSE OF MIDPOINT THEOREM
15:17 -
[PHYSICAL] [JESISHA] MID – POINT THEORM – PROOF OF MIDPOINT THEOREM
22:27 -
[PHYSICAL] [JESISHA] MID – POINT THOREM – PROBLEMS BASED ON MID-POINT THEOREM PART 1
06:45 -
[PHYSICAL] [JESISHA] MID – POINT THEOREM – PROBLES BASED ON MID-POINT THEOREM PART 2
15:12 -
[PHYSICAL] [JESISHA] MID POINT THEOREM – CONVERSE OF MID POINT THEOREM
12:22 -
[PHYSICAL] [JESISHA] MID POINT THEOREM – EQUAL INTERCEPT THEOREM 2
11:05 -
[PHYSICAL] [JESISHA] MID POINT THEOREM – PROBLEM BASED ON MID POINT THEOREM
12:37 -
[PHYSICAL] [RHEA] MIDPOINT THEOREM – HOTS PROBLEMS BASED ON MIDPOINT THEOREM – PART 1
08:48 -
[PHYSICAL] [RHEA] MIDPOINT THEOREM – HOTS PROBLEMS BASED ON MIDPOINT THEOREM – PART 2
10:55 -
[PHYSICAL] [RHEA] MIDPOINT THEOREM – HOTS PROBLEMS – PART-I
16:05 -
[PHYSICAL] [RHEA] MIDPOINT THEOREM – HOTS PROBLEMS – PART- II
17:32 -
[PHYSICAL] [RHEA] MIDPOINT THEOREM – NUMERICALS ON EQUAL INTERCEPT THEOREM
07:24 -
[PHYSICAL] [RHEA] MIDPOINT THEOREM – EQUAL INTERCEPT THEOREM
10:36 -
[PHYSICAL] [JESISHA] MIDPOINT THEOREM – EQUAL INTERCEPT THEOREM PROOF
16:49 -
[PHYSICAL] [JESISHA] MIDPOINT THEOREM – EQUAL INTERCEPT THEOREM SUMS PART – I
10:44 -
[PHYSICAL] [JESISHA] MIDPOINT THEOREM – EQUAL INTERCEPT THEOREM SUMS PART – II
12:28 -
[PHYSICAL] [JESISHA] MID POINT THEROM – PROOF OF CONVERSE OF MIDPOINT THEORM
27:45
PHYTHAGORAS THEOREM – NUMERICAL BASED ON PYTHAGORAS THEOREMS
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[PHYSICAL] [JESISHA] PHYTHAGORAS THEOREM – PART 1
18:24 -
[PHYSICAL] [JESISHA] PHYTHAGORAS THEOREM – PART 2
16:51 -
[PHYSICAL] [JESISHA] PHYTHAGORAS THEOREM – PART 3
20:52 -
[PHYSICAL] [JESISHA] PHYTHAGORAS THEOREM – PART 4
42:09 -
[PHYSICAL] [RHEA] PYTHAGORAS THEOREM – HOTS PROBLEMS I
23:54 -
[PHYSICAL] [RHEA] PYTHAGORAS THEOREM – HOTS PROBLEM II
26:31 -
[PHYSICAL] [RHEA] PYTHAGORAS THEOREM – SPEED AND DISTANCE PROBLEM
05:53 -
[PHYSICAL] [JESISHA] PHYTHAGORAS THEOREM – PROOF – PART 1
21:04 -
[PHYSICAL] [JESISHA] PHYTHAGORAS THEOREM – PROOF – PART 2
26:07 -
[PHYSICAL] [JESISHA] NUMERICALS BASED ON PHYTHAGORAS THEOREM – PART 1
42:10
CONSTRUCTION OF POLYGONS – CONSTRUCT A PARALLELOGRAM AND RHOMBUS
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[PHYSICAL] [JESISHA] CONSTRUCTION OF POLYGONS – CONSTRUCTION OF RHOMBUS
20:27 -
[PHYSICAL] [JESISHA] CONSTRUCTION OF POLYGONS – CONSTRUCTION OF PARALLELOGRAM
14:47 -
[PHYSICAL] [VANASHREE] CONSTRUCTION OF POLYGONS – CONSTRUCTION OF HEXAGON
19:40 -
[PHYSICAL] [JESISHA] CONSTRUCTION OF POLYGONS – CONSTRUCTION OF HEXAGON
15:44 -
[PHYSICAL] [RHEA] CONSTRUCTION – BASICS OF CONSTRUCTION AND DRAW A PARALLELOGRAM
16:57 -
[PHYSICAL] [JESISHA] CONSTRUCTION – CONSTRUCTION OF HEXAGON
09:35 -
[PHYSICAL] [JESISHA] CONSTRUCTION – CONSTRUCTION OF PARALLELOGRAM OF 2 CONSECUTIVE SIDES & INCLUDED ANGL
22:00 -
[PHYSICAL] [JESISHA] CONSTRUCTION – CONSTRIUCTION OF RHOMBUS WITH TWO DIAGONALS ARE GIVEN
08:17 -
[PHYSICAL] [JESISHA] CONSTRUCTION – PARALLELOGRAM ONE SIDE AND TWO ANGLE ARE GIVEN
10:15 -
[PHYSICAL] [JESISHA] CONSTRUCTION – PARALLELOGRAM TWO ADJACENT SIDE AND HEIGHT IS GIVEN
15:19 -
[PHYSICAL] [JESISHA] CONSTRUCTION -TWO ADJACENT SIDES AND ONE DIAGONAL ARE GIVEN
20:34
RECTILINEAR FIGURES – NUMERICALS
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[ONLINE] [RHEA] RECTILINEAR FIGURES – NUMERICALS FROM WORKSHEET SET B – PART 1
22:16 -
[ONLINE] [RHEA] RECTLINEAR FIGURES – NUMERICALS BASED ON WORSHEET SET B – PART 2
32:14 -
[PHYSICAL] [RHEA] RECTILINEAR FIGURES – PROPERTIES OF QUADRILATERALS
11:33 -
[PHYSICAL] [RHEA] RECTILINEAR FIGURES – PROBLEMS BASED ON RECTILINEAR FIGURES SET A
15:21 -
[PHYSICAL] [RHEA] RECTILINEAR FIGURE – PROPERTIES OF SPECIAL TYPES OF QUADRILATERALS
09:14 -
[PHYSICAL] [JESISHA] RECILINEAR FIGURES – PART – I
20:09 -
[PHYSICAL] [JESISHA] RECILINEAR FIGURES – PART – II
19:57 -
[PHYSICAL] [JESISHA] RECTILINEAR FIGURE – PART – III
22:56 -
[PHYSICAL] [JESISHA] RECTILINEAR FIGURES – SUM ON PARALLELOGRAM
15:18 -
[PHYSICAL] [JESISHA] RECTILINEAR FIGURES – SUMS ON RHOMBUS
14:49
RECTILINEAR FIGURES – APRIL 2024
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RECTILINEAR FIGURES – PHYSICAL CLASS – HOTS PART II
10:27 -
RECTILINEAR FIGURES – PHYSICAL CLASS – HOTS
10:11 -
RECTILINEAR FIGURES – PHYSICAL CLASS – NUMERICALS BASED ON PARALLELOGRAM
19:47 -
RECTILINEAR FIGURES – PHYSICAL CLASS – PROPERTIES OF QUADRILATERALS
10:36 -
RECTILINEAR FIGURES – PHYSICAL CLASS – SUM ON PARALLELOGRAM
15:18 -
RECTILINEAR FIGURES – PHYSICAL CLASS – SUMS ON RHOMBUS
14:50 -
RECTILINEAR FIGURES – PHYSICAL CLASS – SUM ON COMBINATION OF SQUARE AND EQUILATERAL TRIANGLE
04:53
CIRCLE – THEOREMS
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[PHYSICAL] [VANASHREE] CIRCLE – THEOREM – EQUIDISTANT CHORDS FROM THE CENTRE ARE EQUAL
04:15 -
[PHYSICAL] [VANASHREE] CIRCLES – EQUAL CHORDS ARE EQUIDISTANT FROM THE CENTRE
32:04 -
[PHYSICAL] [VANASHREE] CIRCLES – ONLY 1 CIRCLE PASSES THROUGH 3 NON COLLINEAR POINTS
04:15 -
[PHYSICAL] [RHEA] CIRCLES – ALL THEOREMS
15:37 -
[PHYSICAL] [RHEA] CIRCLES – NUMERICAL – EXERCISE 13 – QUESTION 9
12:19 -
[PHYSICAL] [RHEA] CIRCLES -NUMERICAL – EXERCISE 13 – QUESTION 15
07:26 -
[PHYSICAL] [RHEA] CIRCLES -NUMERICAL – EXERCISE 13 – QUESTION 20
05:27 -
[PHYSICAL] [RHEA] CIRCLES – NUMERICAL – EXERCISE 13 – QUESTION 29
08:22 -
[PHYSICAL] [RHEA] CIRCLES – NUMERICALS – LEVEL B – QUESTION 1
07:56 -
[PHYSICAL] [RHEA] CIRCLES – NUMERICALS – LEVEL B – QUESTION 2
09:33 -
[PHYSICAL] [RHEA] CIRCLES – NUMERICALS – LEVEL B – QUESTION 3
10:03 -
[ONLINE] [RHEA] CIRCLES – RECAP OF CHORD PROPERTIES WITH SUMS
52:06
AREA THEOREM – THEOREMS
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[PHYSICAL] [VANASHREE] AREA THEOREM – THEOREMS BASED ON AREA THEOREM
14:27 -
[PHYSICAL] [JESISHA] – FORMULA OF ALL TYPES OF QUADRILATERAL
08:31 -
[PHYSICAL] [JESISHA] AREA AND PERIMETER – FORMULA OF ALL TYPES OF QUADRILATERAL
08:31
ADDITINAL MATERIAL
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[PHYSICAL] [GURSIMRAN] LINES AND ANGLES – CORE CONCEPT – COMPLEMENTRY AND SUPPLEMENTRY ANGLES
01:51 -
[PHYSICAL] [GURSIMRAN] LINES AND ANGLES -CORE CONCEPT -VERTICALLY OPPOSITE ANGLES
03:18 -
[PHYSICAL] [GURSIMRAN] LINES AND ANGLES – CORE CONCEPT – ANGLES ABOUT A POINT
02:11 -
[PHYSICAL] [GURSIMRAN] LINES AND ANGLES – CORE CONCEPT – TYPES OF ANGLES
04:47 -
[PHYSICAL] [RHEA] LINES AND ANGLES – CORE CONCEPT – ANGLES BETWEEN PARALLEL LINES
22:38 -
[PPT] [RHEA] MATHS – CONGRUENCY OF TRIANGLES – RECAP OF ALL TYPES OF ANGLE THEOREMS AND PARALLEL LINES
05:27 -
[PHYSICAL] [JESISHA] TRIANGLE – CORE CONCEPT – RELATION BETWEEN STANDARD ANGLES OF A TRIANGLE
05:20 -
[PHYSICAL] [JESISHA] TRIANGLE – CORE CONCEPT – MEDIAN
02:29 -
[PHYSICAL] [JESISHA] TRIANGLE – CORE CONCEPT – ALTITUDE
01:45 -
[PHYSICAL] [JESISHA] TRIANGLE – CORE CONCEPT – SUM OF INTERIOR ANGLES OF A TRIANGLE
00:23 -
[PHYSICAL] [JESISHA] TRIANGLE – CORE CONCEPT – EXTERIOR ANGLE THEOREM
01:57 -
[PHYSICAL] [JESISHA] TRIANGLE – CORE CONCEPT – CONGRUENT OF TRIANGLE
02:23 -
[PHYSICAL] [JESISHA] TRIANGLE – CORE CONCEPT – NAMING OF THE CONGRUENT TRIANGLES
04:34 -
[PHYSICAL] [JESISHA] TRIANGLE – CORE CONCEPT – TEST OF TRIANGLES S S S ,A S A , A A S , AND R H S
10:33 -
[PHYSICAL] [RHEA] – MIDPOINT THEOREM – SUPPORT MATERIAL – MIDPOINT THEOREM – THEOREM 6
01:37 -
[PPT] [RHEA] MID-POINT AND ITS CONVERSE – SUPPORT MATERIAL – MIDPOINT THEOREM
03:00 -
[PPT] [RHEA] MID-POINT AND ITS CONVERSE – SUPPORT MATERIAL – INTERCEPT THEOREM
05:00 -
[ONLINE] [RHEA] PYTHAGORAS THEOREM – CORE CONCEPT – NUMERICALS – LEVEL A
44:10 -
[ONLINE] [RHEA] PYTHAGORAS THEOREM – CORE CONCEPT – NUMERICALS – LEVEL B – PART 1
14:45 -
[ONLINE] [RHEA] PYTHAGORAS THEOREM – CORE CONCEPT – NUMERICALS- LEVEL B – PART 2
35:22 -
[PHYSICAL] [RHEA] PYTHAGORAS THEOREM – SUPPORT MATERIAL – CONVERSE
06:00 -
[PHYSICAL] [RHEA] PYTHAGORAS THEOREM – SUPPORT MATERIAL – THEOREMS
04:00 -
[ONLINE] [VANASHREE] CIRCLE – CORE CONCEPT – CHORD PROPERTIES – THEOREM – LINE DRAWN FROM THE CENTRE OF THE CIRCLE IS A PERPENDICULAR BISECTOR
19:48 -
[ONLINE] [VANASHREE] CIRCLES – CORE CONCEPT – CHORD PROPERTIES – THEOREM I TO IV RECAP
11:33 -
[PHYSICAL] [VANASHREE] CIRCLES – CORE CONCEPT – CHORD PROPERTIES – ANGLES IN THE SAME SEGMENT ARE EQUAL
09:58 -
[PHYSICAL] [VANASHREE] CIRCLE – CORE CONCEPT – ARC PROPERTIES – ALL ANGLES IN A SEMI-CIRCLE ARE RIGHT ANGLES
08:22 -
[ONLINE] [VANASHREE] CIRCLES – CORE CONCEPT – CYCLIC QUADRILATERAL
02:49
ASSIGNMENT AND DUE DATES
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