Q. 1
Construct quadrilaterals with the measurements given below:
Quadrilateral HELP with HE = 6cm, EL = 4.5 cm, ∠H=60o, ∠E =105o and ∠P= 120o.
Answer :
GIVEN : In Quadrilateral HELP,
HE = 6cm
EL = 4.5 cm
∠H=60o
∠E =105o
∠P= 120o
PROCEDURE :
Step 1: draw a rough sketch of the Quadrilateral HELP and mark the given measurements.
As we can see that ∠P is not between the given 2 sides , so we now find the ∠L that is between HE and EL using the property of sum of all angles of a quadrilateral ie. ∠L = 360° - (∠H + ∠E + ∠P) = 360° - (60° + 105° + 120°) = 75°.
∴ ∠L = 75°.
Step 2: construct ΔHEL using SAS property of construction model with HE = 6cm , ∠E = 105o and EL = 4.5 cm.
Step 3 : Construct ∠H = 60° and draw HY .
( how to draw 60° angle ?
⇒ an arc is drawn from H . let it intersect HE at H’ . with center H’ and with same radius draw 2 arcs to cut at 2 points A,B which gives 60° and 120° respectively.
So , draw a line from H which passes through A to get the required angle. )
Step 4 : construct ∠L = 75o and draw LZ to meet HY at P.
HELP is the required quadrilateral.
Rate this question :
Quadrilaterals32 mins
Members of Quadrilaterals65 mins
Smart Revision | Let's Revise Properties of Polygon32 mins
Smart Revision | Let's Classify Quadrilaterals and Find their Properties34 mins
Genius Quiz | Understanding Quadrilaterals20 mins
Quiz | Polygon & their Properties46 mins
NCERT I Quiz on Understanding Quadrilaterals54 mins
Champ Quiz | Polygons (Quadrilaterals)30 mins
Smart Revision | All Types of Quadrilaterals and Their Properties35 mins
NCERT | Discussion on Imp. Qs. of Quadrilaterals43 mins
Construct quadrilaterals with the measurements given below:
Parallelogram GRAM with GR = AM = 5 cm, RA = MG = 6.2 cm and ∠R = 85o.
AP - MathematicsConstruct the quadrilaterals with the given measurements. And write steps of construction.
Rhombus MATH with AT = 4 cm, ∠MAT = 120o.
AP - MathematicsConstruct the quadrilaterals with the given measurements. And write steps of construction.
Rectangle FLAT with FL = 5 cm, LA = 3 cm.
AP - MathematicsConstruct the quadrilaterals with the given measurements. And write steps of construction.
Square LUDO with LU = 4.5 cm.
AP - MathematicsConstruct quadrilaterals with the measurements given below:
Rectangle FLAG with sides FL = 6cm and LA = 4.2 cm.
AP - MathematicsConstruct quadrilateral with the measurements given below:
Quadrilateral ABCD with AB = 4.5 cm, BC = 5.5 cm, CD = 4 cm, AD = 6 cm and AC = 7 cm
AP - MathematicsConstruct following quadrilaterals-
Quadrilateral PQRS with PQ = 3.6cm, QR = 4.5 cm, RS = 5.6cm, ∠PQR = 135o and ∠QRS = 60o.
AP - Mathematics