Q. 14.4( 32 Votes )
Suppose ABCD is a rectangle. Using the RHS theorem, prove that triangles ABC and ADC are congruent.
Answer :
ABCD is a rectangle
AC is a diagonal
In Δ ABC and Δ ADC
AD = BC (Opposite sides of a rectangle)
∠ADC = ∠ABC = 900(Angle of a rectangle)
AC = AC (Common side)
So Δ ABC and Δ ADC is congruent by R.H.S. axiom of congruency.
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz | Revolt of 185749 mins
Benefits of Physical Activity36 mins
Foundation | Principle of Counting45 mins
Division of Algebraic Expressions36 mins
Champ Quiz | Variety of Cells32 mins
Properties of Rational Numbers29 mins
Foundation | Multiple Reflections of Light40 mins
NCERT | Standard Form of Numbers41 mins
Parallelogram45 mins
Conserve Life Around Us42 mins
Champ Quiz | Revolt of 185749 minsBenefits of Physical Activity36 minsFoundation | Principle of Counting45 minsDivision of Algebraic Expressions36 minsChamp Quiz | Variety of Cells32 minsProperties of Rational Numbers29 minsFoundation | Multiple Reflections of Light40 minsNCERT | Standard Form of Numbers41 minsParallelogram45 minsConserve Life Around Us42 minsTry our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
RELATED QUESTIONS :
Suppose ABC is a triangle and D is the midpoint of BC. Assume that the perpendiculars from D to AB and AC are of equal length. Prove that ABC is isosceles.
Karnataka Board - Mathematics Part IISuppose ABCD is a rectangle. Using the RHS theorem, prove that triangles ABC and ADC are congruent.
Karnataka Board - Mathematics Part IIShow that the perpendiculars drawn from the vertices of the base of an isosceles triangle to the opposite sides are equal.
Karnataka Board - Mathematics Part II