Question
A thombus is a special parallelogram.Which are true about a thombus that is not true about all parallelograms? A. diagonals create a right angle where they intersect B. all sides are congruent C. diagonals bisect vertex angles D. diagonals are congruent E. opposite angles are congruent
Solution
3.1
(311 Votos)
Thiago
Elite · Tutor por 8 anos
Resposta
The correct options are A, B, C, and D.
Explicação
## Step 1A rhombus is a special type of parallelogram where all sides are equal in length. This is a unique property of a rhombus that sets it apart from all parallelograms.## Step 2Option A states that the diagonals create a right angle where they intersect. This is not true for all parallelograms, but it is true for a rhombus. In a rhombus, the diagonals are perpendicular to each other.## Step 3Option B states that all sides are congruent. This is true for a rhombus, but it is not true for all parallelograms. In a parallelogram, only opposite sides are congruent.## Step 4Option C states that the diagonals bisect vertex angles. This is not true for all parallelograms, but it is true for a rhombus. In a rhombus, the diagonals bisect the vertex angles.## Step 5Option D states that the diagonals are congruent. This is not true for all parallelograms, but it is true for a rhombus. In a rhombus, the diagonals are congruent.## Step 6Option E states that opposite angles are congruent. This is true for both a rhombus and a parallelogram. So, this is not a unique property of a rhombus.