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

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 fi gure prove that ΔGUM ～ ΔBOX

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

In the given figure, \(\triangle\)BCD is isosceles with base BD and ∠BAE ≡ ∠DEA Prove that AB ≡ ED.

In the given figure, D is the midpoint of OE and ∠CDE = 90°. Prove that ΔODC ≡ ΔEDC

In the figure, ∠TEN ≡ ∠TON = 90^o and TO ≡ TE. Prove that ∠ORN ≡ ∠ERN.

Construct the following quadrilaterals with the given measurements and also find their area.
KITE, KI = 5.4 cm, IT = 4.6 cm, TE = 4.5 cm, KE = 4.8 cm and IE = 6 cm.

Construct the following quadrilaterals with the given measurements and also find their area.
PQRS, PQ = QR = 3.5 cm, RS = 5.2 cm, SP = 5.3 cm and ∠Q = 120^o.

Construct the following quadrilaterals with the given measurements and also find their area.
MIND, MI = 3.6 cm, ND = 4 cm, MD = 4 cm, ∠M = 50° and ∠D = 100°.

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°.

If PQ || RS and ∠ONR = 30^o find ∠MON and hence ∠MOX .

Find the unknowns in the following figures

Find the unknowns in the following figures

(Illustrating SAS Similarity)
If A is the midpoint of RU and T is the midpoint of RN, prove that ΔRAT ～ ΔRUN .

(Illustrating ASA Congruence)
If ∠YTB ≡∠YBT and ∠BOY ≡∠TRY, prove that Δ BOY ≡ Δ TRY

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

Construct a quadrilateral DEAR with DE = 6 cm, EA = 5 cm, AR = 5.5cm, RD = 5.2 cm and DA = 10 cm. Also find its area.

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.