CBSE 10 WEEKLY SCHEDULE

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CBSE 10 WEEKLY SCHEDULE

WEEK 33

DATE & TIME SESSION

17 AUG - 2021TUE 01:00 PM

UMANG CBSE 10-2021| TRIANGLES - 1

18 AUG - 2021WED 01:00 PM

M T W TH F S

UMANG CBSE 10-2021| TRIANGLES - 2

By Harsh Sir

● 7 years of teaching experience ● Mentored 50000+ students ● Produced 100% result in CBSE ● Produced NTSE results● Gave PRMO and RMO selections.● Specialized teacher for high level Olympiads

Similarity & Criteria for Similarity

BPT & Pythagoras Theorem

Properties of Similar Triangles

Two triangles are similar, if(i) their corresponding angles are equal

and(ii) their corresponding sides are in the

same ratio (or proportion).

Similarity of Triangles

Example

IMage Source: CueMath

If in two triangles, sides of one triangle are proportional to (i.e., in the same ratio of ) the sides of the other triangle, then their corresponding angles are equal and hence the two triangles are similar.

1. SSS Similarity Criteria

Similarity Criteria of Triangles

IMage Source: CueMath

SSS stands for Side-Side-Side.

If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar.

2. AAA Similarity Criteria

AAA stands for Angle-Angle-Angle.


When two angles of one triangle are respectively equal to the two angles of the other triangle, then the two triangles are considered as similar.

3. AA Similarity Criteria

AAA stands for Angle-Angle.


When one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in the same ratio (proportional), then the triangles are said to be similar.

4. SAS Similarity Criteria

SAS stands for Side-Angle-Side.


Q. In the figure, if ΔABE ≅ ΔACD, show that ΔADE ~ ΔABC.

QUESTION

Q. In quadrilateral ABCD, AC=AD & AB bisects ㄥA. Show that △ABC≅△ABD. What can you say about BC & BD.

SOLUTION

Q. In the figure, ΔODC ~ ΔOBA, ∠ BOC = 125° and ∠ CDO = 70°. Find ∠ DOC, ∠ DCO and ∠ OAB.

QUESTION

SOLUTION

Q. P and Q are points on the sides AB and

AC respectively of a 🔺ABC. If AP = 2 cm,

PB = 4cm, AQ = 3 cm and QC = 6 cm, show

that BC = 3PQ.

QUESTION


SOLUTION

Q. Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Show that ΔABC ~ ΔPQR.

QUESTION


SOLUTION

Q. In the given figure, ∠ABC = 90o and BD ┴ AC. If AB = 5.7 cm, BD = 3.8 cm and CD = 5.4 cm, find BC.

QUESTION


SOLUTION

Similarity & Criteria for Similarity

BPT & Pythagoras Theorem

Properties of Similar Triangles

HOMEWORK Q. In the given figure, ∠ CAB = 90o and AD ┴ BC. Show that 🔺BDA ~ 🔺BAC. If AC = 75 cm, AB = 1m and BC = 1.25 m, find AD.

MCQ SCORE BOOSTER QUESTIONS

Q. △DEF∼△PQR by _____criteria?

QUESTION

A

B

D

C

SSS

AAA

SAS

Not Similar


SOLUTION

(B.) AAA Criteria

Q. △DEF∼△PQR by _____criteria?

A

B

D

C

SSS

AAA

SAS

Not Similar

ANSWER

Q. In ∆ABC and ∆DEF, it is given that ∠B = ∠E, ∠F = ∠C and AB = 3DE, then the two triangles are

congruent but not similar

similar but not congruent

similar as well as congruent

neither congruent nor similar

A

B

D

C

QUESTION


SOLUTION

Q. In ∆ABC and ∆DEF, it is given that ∠B = ∠E, ∠F = ∠C and AB = 3DE, then the two triangles are

congruent but not similar

similar but not congruent

similar as well as congruent

neither congruent nor similar

A

B

D

C

QUESTION

Q. If a tree casts a 18 feet shadow and at the same time, a child of height 3 feet casts a 2 feet shadow, then the height of the tree is

27 feet

32 feet

36 feet

45 feet

A

B

D

C

QUESTION


SOLUTION

Q. If a tree casts a 18 feet shadow and at the same time, a child of height 3 feet casts a 2 feet shadow, then the height of the tree is

27 feet

32 feet

36 feet

45 feet

A

B

D

C

ANSWER

Q. A vertical stick 1.8 m long casts a shadow 45cm long on the ground. At the same time, what is the length of the shadow of a pole 6m high?

2.4 in

1.35 m

13.5 m

1.5 m

A

B

D

C

QUESTION


SOLUTION

ANSWER

Q. A vertical stick 1.8 m long casts a shadow 45cm long on the ground. At the same time, what is the length of the shadow of a pole 6m high?

2.4 in

1.35 m

13.5 m

1.5 m

A

B

D

C

Q. A 12 cm rod is held between a flashlight and a wall as shown. Find the length of the shadow on the wall if the rod is 45 cm from the wall and 15 cm from the light.

75 cm

96 cm

60 cm

48 cm

A

B

D

C

QUESTION


SOLUTION

Q. A 12 cm rod is held between a flashlight and a wall as shown. Find the length of the shadow on the wall if the rod is 45 cm from the wall and 15 cm from the light.

75 cm

96 cm

60 cm

48 cm

A

B

D

C

ANSWER

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CBSE 10 WEEKLY SCHEDULE

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