English

Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure.

Advertisements
Advertisements

Question

Draw a rough figure of a quadrilateral that is not a parallelogram but has exactly two opposite angles of equal measure.

Diagram
One Line Answer
Advertisements

Solution

We can draw a figure of a kite in which exactly two opposite angles are equal. Hence ∠D =∠B.

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Understanding Quadrilaterals - EXERCISE 3.3 [Page 31]

APPEARS IN

NCERT Mathematics [English] Class 8
Chapter 3 Understanding Quadrilaterals
EXERCISE 3.3 | Q 4. | Page 31

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

The adjacent figure HOPE is a parallelogram. Find the angle measures xy and z. State the properties you use to find them.


In the given figure, if points P, Q, R, S are on the sides of parallelogram such that AP = BQ = CR = DS then prove that `square`PQRS is a parallelogram.


Referring the adjacent figure of a parallelogram, write the answer of questions given below.

(1) If l(WZ) = 4.5 cm then l(XY) = ?

(2) If l(YZ) = 8.2 cm then l(XW) = ?

(3) If l(OX) = 2.5 cm then l(OZ) = ?

(4) If l(WO) = 3.3 cm then l(WY) = ?

(5) If m∠WZY = 120° then m∠WXY = ? and m∠XWZ = ?


In parallelogram PQRS, ∠Q = (4x – 5)° and ∠S = (3x + 10)°. Calculate: ∠Q and ∠R.


In parallelogram ABCD, E is the mid-point of AD and F is the mid-point of BC. Prove that BFDE is a parallelogram.


In the following diagram, the bisectors of interior angles of the parallelogram PQRS enclose a quadrilateral ABCD.

Show that:
(i) ∠PSB + ∠SPB = 90°
(ii) ∠PBS = 90°
(iii) ∠ABC = 90°
(iv) ∠ADC = 90°
(v) ∠A = 90°
(vi) ABCD is a rectangle
Thus, the bisectors of the angles of a parallelogram enclose a rectangle.


The adjacent sides of a parallelogram are 5 cm and 9 cm. Its perimeter is ______.


ABCD is a parallelogram. The bisector of angle A intersects CD at X and bisector of angle C intersects AB at Y. Is AXCY a parallelogram? Give reason.


A diagonal of a parallelogram bisects an angle. Will it also bisect the other angle? Give reason.


ABCD is a parallelogram. Points P and Q are taken on the sides AB and AD respectively and the parallelogram PRQA is formed. If ∠C = 45°, find ∠R.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×