Question

Fill in the blanks. 

(i) A parallelogram in which two adjacent sides are equal is a …………………. 

(ii) A parallelogram in which one angle is 90° and two adjacent sides are equal is a …………………. 

(iii) Intrapeziurn ABCD, \(\overline{AB}||\overline{DC}\). If ∠D = x° then ∠A = ……………… 

(iv) Every diagonal in a parallelogram divides it into …………………. triangles. 

(v) In parallelogram ABCD, its diagonals \(\overline{AB}\) and \(\overline{BD}\) intersect at O. If AO = 5cm

then AC = …………….. cm. 

(vi) In a rhombus ABCD, its diagonals intersect at ‘O’. Then ∠AOB = …………. degrees. 

(vii) ABCD is a parallelogram then ∠A — ∠C = ………………… degrees. 

(viii) In a rectangle ABCD, the diagonal AC =10cm then the diagonal BD = …………… cm. 

(ix) In a square ABCD, the diagonal \(\overline{AC}\) is drawn. Then ∠BAC = …………

Answer 1

(i) A parallelogram in which two adjacent sides are equal is a rhombus 

(ii) A parallelogram in which one angle is 90° and two adjacent sides are equal is a square 

(iii) Intrapeziurn ABCD,\(\overline{AB}||\overline{DC}\). If ∠D = x° then ∠A = 180° – x

(iv) Every diagonal in a parallelogram divides it into two congruent triangles. 

(v) In parallelogram ABCD, its diagonals \(\overline{AB}\) and \(\overline{BD}\) intersect at O. If AO = 5cm

then AC = 10 cm. 

(vi) In a rhombus ABCD, its diagonals intersect at ‘O’. Then ∠AOB = 90°. 

(vii) ABCD is a parallelogram then ∠A — ∠C = zero degrees. 

(viii) In a rectangle ABCD, the diagonal AC =10 cm then the diagonal BD = 10 m. 

(ix) In a square ABCD, the diagonal \(\overline{AC}\) is drawn. Then ∠BAC = 45°