Basic Proportionality Theorem

1. In ΔABC, D and E are points on sides AB and AC respectively such that DE|| BC and AD : DB = 3 : 1. If EA = 3.3cm, then AC=_______

• 1.1 cm

• 4cm

• 4.4cm

• 5.5cm

ΔABC and ΔPQR are similar triangles such that ∠A = 32° and ∠R = 65°, then ∠B is :

• 83°

• 32°

• 65°

• 97°

E and F are points on the sides PQ and PR

respectively of a Δ PQR. If PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm, then EF || QR.

• True

• False

If two figures are similar, the corresponding sides are ______________.

• equal
• congruent
• proportional
• none of these

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

Which of the following is NOT true about similar figures?

• A) Similar figures always have the same shape.
• B) Similar figures always have the same size.
• C) Similar figures always have corresponding angles that are equal.
• D) Similar figures always have corresponding sides that are proportional.

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

• congruent, proportional 
• proportional, congruent 
• congruent, congruent
• proportional, proportional

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

E and F are points on the sides PQ and PR

respectively of a Δ PQR. If PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm, then EF || QR.

• True

• False

Basic proportionality theorem is known as

• Pythagoras theorem

• Area theorem

• none of the above

• Thale's theorem

If a line divides any two sides of a triangle in the same ratio then the line is ----------- to the third side

• parallel

• perpendicular

• co-incides

• none of the above

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.4

in the fig, if DE ll BC then find the value of AD

• 16

• 8

• 4

• 32

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5