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Byju's Answer
Standard VIII
Mathematics
Properties of Rhombus
In the order ...
Question
In the order of the steps of constructing a rhombus ABCD, match the steps with their numbers.
A
Step II
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B
Step III
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C
Step I
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Solution
Let's construct a rhombus with the given measurements to determine the steps.
Step I: Draw a line segment AB of length 4 cm using a ruler.
Step II: Measure an angle of
140
o
by placing the center of the protractor at B and the baseline on AB. Mark C on the angle line such that BC = 4 cm.
Step III: Measure an angle of
40
o
by placing the center of the protractor at A and the baseline on AB. Mark D on the angle line such that AD = 4 cm.
Step IV: Join the end points D and C.
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Q.
Complete the activity according to the given steps.
(1) Draw rhombus ABCD. Draw diagonal AC.
(2) Show the congruent parts in the figure by identical marks.
(3) State by which test and in which correspondence ∆ ADC and ∆ ABC are congruent.
(4) Give reason to show ∠DCA ≌ ∠BCA, and ∠DAC ≌ ∠BAC
(5) State which property of a rhombus is revealed from the above steps.