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Learn MoreGeometry - Math - GMAT/GRE/SAT/ACT/CAT (Scratch to Expert)
Rating: 4.8 out of 54.8(12 ratings)
397 students
Geometry - Math - GMAT/GRE/SAT/ACT/CAT (Scratch to Expert)
100% guaranteed success in clearing all the doubts in geometry and getting super hands on geometry.
Created byAbhishek Agarwaal
Last updated 5/2018
English
What you'll learn
- Complete understanding of geometry
Explore related topics
Course content
7 sections • 132 lectures • 7h 44m total length
- Basic Terminologies involved in Lines9:19
- Types of Angles4:33
- Supplementary and Complementary Angles0:40
- Question from Supplementary and Complementary Angles4:08
Explore supplementary and complementary angles, solve equations in x to satisfy 180 and 90 degree relationships, and apply angle relationships to practice GMAT/SAT level geometry problems.
- Vertically Opposite Angles2:52
- Angle Bisector1:35
- Parallel and Transversal Lines: Corresponding/ Alternate and Consecutive Angles5:57
- Question # 11:47
Analyze angle measures such as 90, 180, and 110 degrees within geometric configurations. Solve question 1 by applying linear and angular reasoning in this geometry course.
- Question # 21:05
- Question # 31:12
- Question # 41:12
- Question # 51:22
Examine question 5 by analyzing line and point relationships in a geometry-style problem. Clarify how a line aligns with a given point and outline the reasoning steps.
- Question # 61:46
- Question # 70:49
- Question # 81:26
- Question # 91:21
- Question # 101:45
- Question # 110:54
- Types of Triangles and their details4:24
- Questions # 11:16
Explore finding an angle in a triangle when its sides a, b, c are in the ratio 2:3:4.
- Question # 21:54
- Question # 31:07
- Question # 43:21
Explore how a triangle's interior angles sum to 180 degrees, and deduce relationships among angles in right triangles, including A, B, and C.
- Question # 51:38
Solve a geometry angle problem by using sums and differences of angles, determining measures for angles A and B from given values like 116 and 24 degrees.
- Question # 65:54
Learn that a triangle's angles sum to 180 degrees, each angle is less than sum of the other two, and if all angles are under 90, the triangle is acute.
- Question # 74:15
examine triangle ABC to prove that the sum of its exterior angles equals 360 degrees, by analyzing adjacent angles at each vertex and combining interior angle relationships.
- Learn Medians/ Centroid/ Altitudes/ Orthocenter/ In-center/ Circumcenter6:43
- Angle opposite to equal sides in a triangle2:58
- Angle on the extended arm of the triangle2:21
- Median is the perpendicular bisector in a triangle1:50
- Split of the median from the centroid2:33
Explore the split of the median from the centroid in geometry, clarifying their relationship for problem solving. Apply these concepts to GMAT/GRE/SAT/ACT geometry questions.
- Line connecting the mid points of any two sides of a triangle2:00
- Sum of two side will be more than 3rd side1:16
- Larger Side will have larger angle opposite to it1:19
- Questions # 81:12
Explore geometry questions focusing on angle relationships, showing a vortex angle that is twice the sum of two angles and using a 180-degree angle-sum reference to solve problems.
- Question # 92:45
Examine geometric reasoning using lines, parallels, and angle equalities to prove angle ABC equals angle ADC and to replace angles like ABC with NBC, establishing parallel and equal-angle relationships.
- Question # 101:48
- Question # 112:47
- Question # 121:25
- Question # 135:38
Examine triangle angle–side relationships by comparing angles across triangles like ABC, ABD, and BCD to determine which side is longest.
- Question # 143:40
Explore triangle geometry, including angle relationships and equality, through problem-based discussion and practice questions, helping you master angle concepts for tests.
- What is Triangle Congruency (SAS / ASA / AAS / SSS / RHS10:51
- Question # 12:35
Explore a quadrilateral and its triangles to apply a theorem that shows certain angles are equal, using line relationships to simplify the geometry problem.
- Question # 22:07
- Question # 32:13
- Question # 44:41
Investigate how line segments and triangles reveal angle equalities by analyzing side relationships and angle correspondences within figures.
- Question # 52:49
- Question # 61:56
- Question # 74:05
Investigate a right triangle ABC, relate angles and sides through corresponding angles and basic triangle laws, and practice solving for unknowns in geometry problems.
- Question # 82:37
- Details of Parallelogram/ Rhombus/ Square/ Rectangle/ Trapezium / Kite9:36
This lecture covers parallelogram, rhombus, square, rectangle, trapezium, and kite, focusing on diagonals, how they bisect and when they are equal, and the role of right angles and side relationships.
- Parallelograms on the same base and between same parallels are equal in area1:49
- Triagles on the same base and between two parallels have equal area1:24
- When triangle and parallelograms sit on same base, then triangle has half of the1:24
- Question # 12:45
Explore fundamental angle relationships in geometry by examining angles cd and dvc formed by two lines, and apply these ideas to solve related questions.
- Question # 25:28
- Question # 35:58
- Question # 42:05
- Question # 53:08
- Question # 62:08
- Question # 71:57
- Question # 82:00
- Question # 81:57
- Question # 104:37
- Question # 119:42
- Question # 122:40
Learn how to find a quadrilateral's area by splitting it along a diagonal into two right triangles, using base and height formulas and equal-area insights to sum the parts.
- Question # 132:19
- Question # 142:46
- Question # 152:21
Explore geometry problem solving with right triangles, altitudes, bases and heights, and the trapezium area, using hypotenuse relationships to determine unknown lengths such as DC.
- Question # 161:44
- Question # 172:36
- Circle and its components18:31
- Circle Theorems 1- 510:27
Theorem # 1 Equal arcs of a circle subtend equal angles at the center
Theorem # 2 Equal arcs of a circle produces equal chords
Theorem # 3 Perpendicular from the Centre of the circle to the chord bisect the chord.
Theorem # 4 Equal length chords will be equidistant from the centre of the circle.
Theorem # 5 Longer the chord nearer to the centre
- Questions # 1 based on what we have learned in circle till here
Explore circle geometry by solving for a distance in a circle-based setup, using 90-degree angles and bisecting approaches, with an expression like square minus eight and a six-centimeter example.
- Questions # 2 based on what we have learned in circle till here1:12
- Questions # 3 based on what we have learned in circle till here4:01
Apply circle geometry concepts, including central lines and perpendiculars, to solve right-triangle problems inside circles using given segment lengths.
- Questions # 4 based on what we have learned in circle till here3:39
Solve a circle geometry problem about a nine-centimeter segment inscribed in a circle, applying inscribed angle and median properties to deduce perpendicular relationships and chord lengths.
- Circle theorem # 62:37
The angle made by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of the circle.
- Circle theorem # 71:38
The angle in the semicircle is a right angle
- Circle theorem # 81:21
Angles in the same segment are equal
- Questions # 5 based on what we have learned in circle till here3:39
- Questions # 6 based on what we have learned in circle till here1:39
- Questions # 7 based on what we have learned in circle till here3:00
- Questions # 8 based on what we have learned in circle till here1:55
- Questions # 9 based on what we have learned in circle till here3:30
- Questions # 10 based on what we have learned in circle till here3:11
- Questions # 11 based on what we have learned in circle till here2:24
- Questions # 12 based on what we have learned in circle till here7:32
- Circle Theorem # 94:46
The sum of the either pair of the opposite angles of a cyclic quadrilateral is 180°
- Circle Theorem # 103:10
If one side of the cyclic quad. is produced then the exterior angle is equal to the opposite interior angle
- Questions # 13 based on what we have learned in circle till here2:13
- Questions # 14 based on what we have learned in circle till here1:57
- Questions # 15 based on what we have learned in circle till here2:28
- Questions # 16 based on what we have learned in circle till here1:34
Explore circle-based angle problems by analyzing angles ABC, BC, and CD, using relationships that rely on 180-degree sums to identify 60-degree and 120-degree measures.
- Questions # 17 based on what we have learned in circle till here1:05
- Questions # 18 based on what we have learned in circle till here4:56
- Questions # 19 based on what we have learned in circle till here6:02
- Questions # 20 based on what we have learned in circle till here7:41
- Questions # 21 based on what we have learned in circle till here3:54
- What is Triangles Similarity5:32
Explore triangle similarity and how one triangle can be a double-sized version of another. Learn to identify when triangles are similar.
- Theorem 19:18
If a line is drawn parallel to one side of a triangle to intersect the other two sides at two distinct points, the other two sides are divided in the same ratio.
- Theorem 29:50
If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio and hence the two triangles are similar
- Theorem 38:00
If in two triangles, corresponding sides are proportional, then their corresponding angles are equal and hence the two triangles are similar
- Theorem 45:53
If one angle of a triangle is equal to the one angle of other triangle and the sides including these angles are proportional then the two triangles are similar
- Theorem 58:46
The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.
- Theorem 68:03
If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse then triangles on both sides of the perpendicular are similar to the whole triangle and each other.
- Pythagoras Theorem: Theorem 76:43
In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
- Question on Triangles Similarity # 10:57
- Question on Triangles Similarity # 22:25
Apply triangles similarity to two triangles and determine key vertex relationships, using abc and bcd as guides to uncover proportional connections.
- Question on Triangles Similarity # 35:03
Tackle practice questions on triangles similarity in geometry, applying similarity criteria to identify similar triangles and reinforce GMAT/GRE/SAT preparation.
- Question on Triangles Similarity # 46:21
- Question on Triangles Similarity # 54:02
Explore a geometry question on triangles similarity, identifying similar triangles and using angle relationships to establish similarity.
- Question on Triangles Similarity # 62:31
- Question on Triangles Similarity # 73:18
Learn how to apply triangles similarity to a complex problem, exploring side ratios, squares, and numerical relationships in ABC, with step-by-step reasoning.
- Question on Triangles Similarity # 83:07
- Question on Triangles Similarity # 90:45
- Question on Triangles Similarity # 103:12
- Question on Triangles Similarity # 111:53
- Question on Triangles Similarity # 123:13
Practice questions on triangles similarity, exploring right-angle configurations and hypotenuse relationships to strengthen geometry skills.
- Question on Triangles Similarity # 132:43
- Question on Triangles Similarity # 142:56
Explore a triangles similarity problem with a right angle at C, using side relationships to deduce a missing length and confirm proportionality through similar triangles.
- Question on Triangles Similarity # 152:17
- Circle Tangent Theorem 14:05
The tangent at any point of a circle is perpendicular to the radius through the point of contact
- Circle Tangent Theorem 23:56
The length of tangents drawn from an external point to a circle are equal
- Question based on Circle Tangent # 11:10
Solve a circle tangent problem by identifying the center, the point of contact, and given measurements such as 24 cm and 25 cm to apply circle tangent concepts.
- Question based on Circle Tangent # 21:36
Solve a circle tangent question by examining angles, including a 110-degree angle, and using the 360 minus 290 calculation to find the target angle.
- Question based on Circle Tangent # 32:43
- Question based on Circle Tangent # 42:05
- Question based on Circle Tangent # 57:24
Explore circle tangent concepts through questions on perpendicular lines, right angles, and angle and perpendicular bisectors, revealing how centers arise from circle and triangle relationships.
- Question based on Circle Tangent # 61:03
Circle tangent question centers on the center and point in geometry. Circle tangent topic ties circle geometry to the center and point.
- Question based on Circle Tangent # 71:41
- Question based on Circle Tangent # 89:33
Requirements
- Basic understanding of Maths
- Desire to learn geometry
Description
This course contains the following:
Lines and Angles complete with all the theorems and questions based on all the theorems for practice.
Triangles complete with all the theorems and questions based on all the theorems for practice.
Triangles congruency complete with all the theorems and questions based on all the theorems for practice.
Triangles Similarity complete with all the theorems and questions based on all the theorems for practice.
Quadrilaterals complete with all the theorems and questions based on all the theorems for practice.
Circle complete with all the theorems and questions based on all the theorems for practice.
Circle tangent complete with all the theorems and questions based on all the theorems for practice.
This course has been designed in such a way that students get entire geometry and its concepts/ theorems at one place complete with all the questions based on them. This saves lot of time and makes you to practice while learning theorems.
Who this course is for:
- GMAT students
- GRE students
- SAT students
- ACT students
- CAT students
- Students from class 9th
- Students from class 10th