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Unit 11 Brain Teaser | Understanding Quadrilaterals | Class-8 DAV Secondary Mathematics
Q1A. Tick the correct option.
(i) The number of diagonals a pentagon has is (a) 2 (b) 4 (c) 5 (d) 3
(ii) A parallelogram having its adjacent Hides equal is a
(a) trapezium (b) rhombus (c) triangle (d) rectangle
(iii) A seven sided polygon is called a
(a) pentagon . (6) octagon lc) luutagen (d) ilOptilgon (a))
(iv) Regular polygons are
(a) equiangular only (b) equilateral only (c) equiangular and equilateral (d) none of the options
(v) Which of the given polygons have equal diagonal?
(a) square (b) rhombus (c) parallelogram (d) trapezium
Q1B. Answer the following questions.
(i) Name two polygons whose diagonals bisect each other at right angles.
(ii) In a parallelogram ABCD, if ∠B = 75°, find measure of ∠C.
(iii) What is the measure of each exterior angle of a regular octagon?
(iv) Find the measure of x in the given figure.
(v) Find each angle of a regular pentagon.
Q2. ABCD is a parallelogram. AP bisects ∠A and CQ bisects ∠C. P lies on CD and Q lies on AB. Show that: (i) APIICQ (ii) AQCP is a parallelogram.
Q3. In the given figure ABCD is a quadrilateral in which AB = AD and BC = DC. Diagonals AC and BD intersect each other at O. Show that:
(i) △ABC = △ADC (ii) △AOB = △AOD (iii) AC ⊥ BD (iv) AC bisects BD.
Q4. ABCD is a quadrilateral in which all four sides are equal. Show that both pairs of opposite sides are parallel.
Q5. In a quadrilateral ABCD, ∠A + ∠D = 180°. Does this mean AB || DC? Why? What special name does this quadrilateral have?
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