Your teacher will grade your response for question 11 to ensure that you receive proper credit for your answer. ABCD is a rhombus. Explain why .
A rhombus is a special type of quadrilateral where all four sides are equal in length. In the case of ABCD, it is a rhombus because all four sides, AB, BC, CD, and DA, are of equal length. This can be seen by examining the definition of a rhombus.
A rhombus is defined as a quadrilateral in which all four sides are congruent. In the case of ABCD, we know that AB = BC = CD = DA. This is one of the main characteristics of a rhombus.
Additionally, a rhombus also has two pairs of opposite angles that are congruent. This means that angle A = angle C and angle B = angle D. This can also be seen in ABCD, where angle A is opposite to angle C, and angle B is opposite to angle D.
Therefore, based on the definition and characteristics of a rhombus, we can conclude that ABCD is indeed a rhombus because all four sides are equal in length and it has two pairs of opposite congruent angles.