Geometry

A channel to help people throughout the world with not only geometry, but other math

California Standards Test: Algebra I,II,III, Geometry

The following lessons are on Geometry and Trigonometry Units

Episodes submitted using this workflow.

Mr. Paschal's Podcast

Mr. Paschal's Podcast

Properties on geometry

After banging his head against the literary wall on various projects for years, aspiring novelist and screenwriter Ben Hess was desperate for advice and guidance. Leveraging over a decade of video production, filmmaking, and storytelling, he turned off his camera, turned up the mic, and started asking award winning writers their perspective on the craft and community of writing. Welcome to Story Geometry.

This podcast is a part of a series for, CBSE Class 10 Maths. We recommend that you take a look at our YouTube channel, to enter this new world of virtual learning at its best. || Youtube: Shiksha Abhiyan || t.ly/dN9j8 ||

D

Diagonals | Coordinate Geometry | CBSE | Class 10 | Math

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1
Q3. In a rhombus of side 10cm one of the diagonals is 12 cm long. Find the length of the second diagonal.
4:02

This podcast is a part of a series for, CBSE Class 10 Maths. We recommend that you take a look at our YouTube channel, to enter this new world of virtual learning at its best. || Youtube: Shiksha Abhiyan || t.ly/dN9j8 ||Di Shiksha Abhiyan

D

Diagonals | Coordinate Geometry | CBSE | Class 10 | Math

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1
Q2. In the given figure, ABCD is a trapezium AB∥ DC and diagonals AC and BD intersects at O. If OA = 3x-1 and OB = 2x + 1, OC = 5x - 3 and OD = 6x - 5, find x.
4:15

D

Diagonals | Coordinate Geometry | CBSE | Class 10 | Math

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1
Q1. The diagonals of a quadrilateral ABCD intersect each other at the point O such that AO/OC = BO/OD Show that ABCD is a trapezium.
5:19

M

Midpoint | Coordinate Geometry | CBSE | Class 10 | Math

P

Pythagoras | Coordinate Geometry | CBSE | Class 10 | Math

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1
Q8. In the given figure, the perpendicular from A on side BC of a triangle ABC, intersects BC at D such that DB=3CD.Prove that 2AB² =2AC² + BC²
4:26

P

Pythagoras | Coordinate Geometry | CBSE | Class 10 | Math

S

Similarity Criteria | Coordinate Geometry | CBSE | Class 10 | Math

S

Similarity Criteria | Coordinate Geometry | CBSE | Class 10 | Math

S

Similarity Criteria | Coordinate Geometry | CBSE | Class 10 | Math

A

Area Of Triangle (Part 4) | Coordinate Geometry | CBSE | Class 10 | Math

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1
Sides of some triangles are given below. Determine which of them are right triangles. (2a- 1 )cm,(2√2 a )cm,(2a+ 1 )cm.
3:16

A

Area Of Triangle (Part 4) | Coordinate Geometry | CBSE | Class 10 | Math

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1
Sides of some triangles are given below. Determine which of them are right triangles. 9cm, 11 cm, 6cm.
2:17

A

Area Of Triangle (Part 4) | Coordinate Geometry | CBSE | Class 10 | Math

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1
Sides of some triangles are given below. Determine which of them are right triangles. 8 cm, 15 cm, 17 cm.
2:42

B

Bisector of an Angle | Coordinate Geometry | CBSE | Class 10 | Math

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If the diagonal BD of a quadrilateral ABCD bisects angle B and angle D, prove that AB/BC = AD/CD
4:15

B

Bisector of an Angle | Coordinate Geometry | CBSE | Class 10 | Math

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If the bisector of an angle of a triangle bisects the opposite side, prove that the triangle is isosceles.
3:04

B

Bisector of an Angle | Coordinate Geometry | CBSE | Class 10 | Math

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1
In the given figure, AD is the bisector of angle BAC . If AB=10 cm, AC=6 cm and BC=12 cm, What are the lengths of BD and DC?
4:15

B

Bisector of an Angle | Coordinate Geometry | CBSE | Class 10 | Math

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1
In a triangle ABC ,let D be a point on BC ,such that BD/DC = AB/AC. Prove that AD is the bisector of angle A ?
5:41

B

Bisector of an Angle | Coordinate Geometry | CBSE | Class 10 | Math

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1
Prove that the internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle.
4:54

M

Midpoint (Part 2) | Coordinate Geometry | CBSE | Class 10 | Math

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1
AD is a median of triangle ABC and E is the midpoint of AD. BE produced meets AC in F, Prove that AF= 1/3 AC.
5:06

M

Midpoint (Part 2) | Coordinate Geometry | CBSE | Class 10 | Math

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1
Prove that the line segments joining the midpoints of the adjacent sides of a quadrilateral form a parallelogram.
4:39

M

Midpoint (Part 2) | Coordinate Geometry | CBSE | Class 10 | Math

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1
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.
3:24

M

Midpoint (Part 2) | Coordinate Geometry | CBSE | Class 10 | Math

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1
Prove that in a triangle the line segment joining the midpoints of any two sides is parallel to third side.
3:54

C

Centroid Of a Triangle | Coordinate Geometry | CBSE | Class 10 | Math

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1
ABCD is a trapezium in which AB∥DC and its diagonals intersect each other at the point O. Prove that AO/OC = BO/OD.
4:46

C

Centroid Of a Triangle | Coordinate Geometry | CBSE | Class 10 | Math

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1
ABCD is a trapezium with AB || DC. E and F are points on non-parallel sides AD and BC respectively such that EF is parallel to AB. Show that AE/ED = BF/FC.
4:28

C

Centroid Of a Triangle | Coordinate Geometry | CBSE | Class 10 | Math

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1
ABCD is a quadrilateral and P,Q,R,S are the points of trisection of the sides AB, BC, CD and DA respectively and are adjacent to A and C. Prove that PQRS is a parallelogram.
3:51

A

Area of a Triangle (Part 3) | Coordinate Geometry | CBSE | Class 10 | Math

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1
ABCD is a quadrilateral and P,Q,R,S are the points of trisection of the sides AB, BC, CD and DA respectively and are adjacent to A and C. Prove that PQRS is a parallelogram.
3:51

A

Area of a Triangle (Part 3) | Coordinate Geometry | CBSE | Class 10 | Math

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1
Let ABC be a triangle and D and E are the two points on side AB such that AD = BE. If DP||BC and EQ||AC, then prove that PQ||AB.
6:50

A

Area of a Triangle (Part 3) | Coordinate Geometry | CBSE | Class 10 | Math

A

Area of a Triangle (Part 3) | Coordinate Geometry | CBSE | Class 10 | Math

A

Area of a Triangle (Part 3) | Coordinate Geometry | CBSE | Class 10 | Math

A

Area of a Triangle (Part 3) | Coordinate Geometry | CBSE | Class 10 | Math

A

Area of a Triangle (Part 3) | Coordinate Geometry | CBSE | Class 10 | Math

A

Area of a Triangle (Part 3) | Coordinate Geometry | CBSE | Class 10 | Math

A

Area of a Triangle (Part 3) | Coordinate Geometry | CBSE | Class 10 | Math

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1
M and N are the points on the sides AC and BC respectively of a triangle ABC. In each of the following cases, state whether MN || AB. CM = 5.1cm, CA =6.8 cm, NB = 1.4cm, CB = 5.6cm
3:23

A

Area of a Triangle (Part 3) | Coordinate Geometry | CBSE | Class 10 | Math

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1
M and N are the points on the sides AC and BC respectively of a triangle ABC. In each of the following cases, state whether MN || AB. CB = 6.92cm, CN = 1.04 cm, CA = 1.73cm, CM= 0.26cm.
3:20

A

Area of a Triangle (Part 3) | Coordinate Geometry | CBSE | Class 10 | Math

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1
M and N are the points on the sides AC and BC respectively of a triangle ABC. In each of the following cases, state whether MN || AB. CM = 4.2 cm, MA = 2.8cm, NB = 3.6cm, CN = 5.7cm
2:44

A

Adjoining figure | Coordinate Geometry | CBSE | Class 10 | Math

A

Adjoining figure | Coordinate Geometry | CBSE | Class 10 | Math

T

Thales Theorem | Coordinate Geometry | CBSE | Class 10 | Math

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1
Q4 If D and E are the points on the sides AB and AC respectively of triangle ABC such that AB= 5.6cm, AD= 1.4 cm and AE = 1.8 cm, show that DE || BC.
3:01

T

Thales Theorem | Coordinate Geometry | CBSE | Class 10 | Math

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1
Q3. In the given figure in triangle ABC, DE || BC. If AD = (4x-3), AE =(8x-7)cm, BD = (3x-1)cm and CE = 5x -3 cm. Find the value of x.
3:48

T

Thales Theorem | Coordinate Geometry | CBSE | Class 10 | Math

T

Thales Theorem | Coordinate Geometry | CBSE | Class 10 | Math

A

Area of a Triangle (Part 2) | Coordinate Geometry | CBSE | Class 10 | Math

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1
Q5. ∆ ABC is a right triangle in which angle C = 90° and CD perpendicular AB. If BC = a, CA = b, AB = c and CD = p then prove that 1/p² = 1/a² + 1/b²
3:08

A

Area of a Triangle (Part 2) | Coordinate Geometry | CBSE | Class 10 | Math

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1
Q4. ∆ ABC is a right triangle in which angle C = 90° and CD perpendicular AB. If BC = a, CA = b, AB = c and CD = p then prove that cp=ab
1:35

A

Area of a Triangle (Part 2) | Coordinate Geometry | CBSE | Class 10 | Math

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1
Q3. ∆ ABC is an isosceles triangle with AC = BC. If AB² = 2AC² , Prove that ∆ABC is a right triangle.
2:02

A

Area of a Triangle (Part 2) | Coordinate Geometry | CBSE | Class 10 | Math

A

Area of a Triangle (Part 2) | Coordinate Geometry | CBSE | Class 10 | Math

M

Midpoint | Coordinate Geometry | CBSE | Class 10 | Math

M

Midpoint | Coordinate Geometry | CBSE | Class 10 | Math

P

Pythagoras | Coordinate Geometry | CBSE | Class 10 | Math

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1
Q6. In the given figure, the perpendicular from A on side BC of a triangle ABC, interests BC at D such that DB= 3CD. Prove that 2AB² = 2AC² + BC²
2:58

P

Pythagoras | Coordinate Geometry | CBSE | Class 10 | Math