Two similar triangles will always have ________angles

(a)

acute

(b)

obtuse

(c)

right

(d)

matching

If in triangles PQR and XYZ, \(\frac{PQ}{XY}=\frac{QR}{ZX}\) then they will be similar if

(a)

∠Q = ∠Y

(b)

∠P = ∠X

(c)

∠Q = ∠X

(d)

∠P ≡ ∠Z

A flag pole 15 m high casts a shadow of 3 m at 10 a.m. The shadow cast by a building at the same time is 18.6 m. The height of the building is

(a)

90 m

(b)

91 m

(c)

92 m

(d)

93 m

If ΔABC～ΔPQR in which ∠A = 53^o and ∠Q = 77^o, then R is

(a)

50°

(b)

50°

(c)

70°

(d)

80°

In the figure, which of the following statements is true?

(a)

AB = BD

(b)

BD < CD

(c)

AC = CD

(d)

BC = CD

In the given figure, if ΔEAT～ΔBUN, find the measure of all angles.

In the given figure, ∠CIP ≡ ∠COP and ∠HIP ≡ ∠HOP . Prove that IP ≡ OP.

Construct the following quadrilaterals with the given measurements and also find their area.
YOGA, YO = 6 cm, OG = 6 cm, ∠O = 55°, ∠G = 35° and ∠A = 100°.

Find the unknowns in the following figures

(Illustrating SSS similarity)
Prove that ΔPQR ～ ΔPRS in the given Fig

(Illustrating RHS Congruence)
If TAP is an isosceles triangle with TA = TP and ∠TSA = 90°
Is ∠P = ∠A? Why?

Construct a quadrilateral MATH with MA = 4 cm, AT = 3.6 cm, TH = 4.5 cm, MH = 5 cm and ∠A = 85°. Also find its area.

Construct a quadrilateral ABCD with AB = 7 cm, AD = 5 cm, CD = 5 cm, ∠BAC = 50° and ∠ABC = 60°. Also find its area.