Question

In the figure, ABCD is a rhombus. Are triangle ADC and triangle ABC congruent? What can you say about triangle ABD and triangle BCD ?

Answer 1

Answer:

Triangle ADC and triangle ABC congruent and triangle ABD and triangle BCD congruent

Step-by-step explanation:

SSS rule : If 3sides of a triangle are equal to 3 sides of another triangle, then these 2  triangles are congruent.

To prove triangle ADC congruent ABC

Let ABCD is a rhombus. Therefore all sides are equal.

Consider the 2 triangles ADC and ABC

AD = CD = CB = AB (since sides of rhombus are equal)

AC is the common sides of 2 triangles.

By SSS rule ADC congruent ABC

To prove triangle ABD congruent BCD

AD = CD = CB = AB (since sides of rhombus are equal)

BD is the common sides of 2 triangles.

By SSS rule  ABDcongruent BCD

Answer 2

Answer:

here your answer. I hope it's help you