Quiz (1 point)
Prove that:
WXYZ is a rhombus
The following properties may be helpful:
- a = a
- if (WXYZ is a parallelogram) and (m∠WPY = 180) and (m∠XPZ = 180), then △PYZ ≅ △PWX
- if △ABC ≅ △DEF, then distance BA = distance ED
if a = b, then b = a
- if m∠ABC = 180, then ∠ABX and ∠XBC are supplementary
- if ∠ABC and ∠DEF are supplementary, then (m∠ABC) + (m∠FED) = 180
- if ∠ABC is a right angle, then m∠ABC = 90
if the following are true:
- a + b = c
- b = d
then a + d = c
if a + 90 = 180, then a = 90
if the following are true:
- a = c
- b = c
then a = b
- if (distance AB = distance DE) and (m∠ABC = m∠DEF) and (distance BC = distance EF), then △ABC ≅ △DEF
- if △ABC ≅ △DEF, then distance AC = distance DF
- if distance AB = distance CD, then distance CD = distance BA
- if (ABCD is a parallelogram) and (distance CD = distance DA), then ABCD is a rhombus
Please write your proof in the table below. Each row should contain one claim. The last claim is the statement that you are trying to prove.