Triangle similarity Quiz 1

Question 1

What is the sufficient condition for two polygons to be similar?

Accepted Answer

All the corresponding sides should be in the same ratio and all the corresponding angles should be equal.

Answer

All the corresponding sides should be equal and all the corresponding angles in the same ratio.

Answer

All the corresponding sides should be equal and all the corresponding angles should be equal.

Answer

All the corresponding sides should be in the same ratio and all the corresponding angles in the same ratio.

Question 2

What are the methods that can be used to prove the below triangles $$\left( \Delta ABD,\Delta ECB ight)$$ similar with the help of given data. Also find, the length of BD if it is given $$AE=3cm,EB=3cm,BC=4cm, \angle A=\angle E,\angle C=\angle D \ $$ <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/1640af12-7307-4ac3-b51a-4afa5396be0b6846537783706059583.png"/>

Accepted Answer

AA, 8cm

Answer

SAS, 4cm

Answer

AAA, 4cm

Answer

RHS, 8cm

Question 3

A building casts a 100-foot shadow at the same time that a 40-foot flagpole casts as 20 foot shadow. How tall is the building? $$	ext{(Round off to nearest integer)}$$

Accepted Answer

200ft

Answer

205ft

Answer

195ft

Answer

203ft

Question 4

Find the ratio of area of $$\Delta BED$$ and $$\Delta ABC$$ given that $$AC||ED \ $$ <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/ea3f7c19-b878-4a3a-9a12-0babc26dfe6c6575877821378470812.png"/>

Accepted Answer

$${{\left( \dfrac{BE}{AB} \right)}^{2}}$$

Answer

$${{\left( \dfrac{BE}{AD} \right)}^{2}}$$

Answer

$${{\left( \dfrac{BE}{AC} \right)}^{2}}$$

Answer

$${{\left( \dfrac{ED}{DB} \right)}^{2}}$$

Question 5

A line parallel to AC is drawn meeting AB at point E from D. Find the length of AE if it is known that, $$\dfrac{BD}{BC}=\dfrac{1}{2}$$, AB$$=$$6 cm, BD$$=$$6cm <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/3a2e4ff0-7797-4473-9ff6-fe29c15dc26b2453520074885907946.png"/>

Accepted Answer

3cm

Answer

6cm

Answer

2cm

Answer

4cm