If measure of sides of a quadrilateral are given as AB = 4cm, CD = 5cm

Sail E0 Webinar

Question

If measure of sides of a quadrilateral are given as AB = 4cm, CD = 5cm, and angles are given as ∠ ABC =

75^{\circ}

, ∠ BCD =

35^{\circ}

and ∠ CDA =

135^{\circ}

, can you construct a quadrilateral ABCD?

Options:

A . Yes

B . No

C . With the measure of ∠ DAB, Yes

D . With the measure of BC, Yes

Answer: Option D
:
D
We can't draw a unique quadrilateral with all the measurements which are given. This is because we need the measurement of two adjacent sides and 3 angles to construct the quadrilateral ABCD.But with BC, we will have 6 sets of measurements and two known adjacent sides. Hence, we will be able to construct the quadrilateral ABCD.

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. At least four measurements are required to draw a unique quadrilateral.....

Question 2. What is the last step in constructing quadrilateral with 3 sides and 2 included angles given?....

Question 3. If you are given AB = 5 cm, BC = 6 cm, CD = 7 cm, DA = 6 cm and ∠ ABC= 60∘, can you draw a quad....6 cm and ∠ ABC= 60∘, can you draw a quadrilateral?

Question 4. What is the minimum number of measurements required to construct a unique rhombus? ___....

Question 5. Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm?....

Question 6. If we know that one side of a rectangle is 8 cm, can we construct a unique rectangle? ....

Question 7. Is it possible to construct a unique quadrilateral ABCD with AB = 5cm, BC = 6cm, CD= 7cm , ∠ ABC = 45∘....CD= 7cm , ∠ ABC = 45∘ and ∠ BCD = 55∘?

Question 8. We have a parallelogram ABCD with AC and BD as diagonals. In parallelogram ABCD, ∠ ABC = 110∘, ∠ DAC = 15∘,....= 5cm, CD = 7cm. Can we construct this parallelogram?

Question 9. Can you draw a unique triangle with any 3 possible measurements of sides or angles?....

Question 10. There is a quadrilateral PLAY with PL = 3cm, LA = 4cm, AY = 4.5 cm, PY = 2cm. Which of the following values of LY ....Which of the following values of LY is not possible?

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0