Quiz (1 point)
Given that:
ABCD is a square
Prove that:
m∠BCA = 45
The following properties may be helpful:
- if WXYZ is a square, then WXYZ is a rhombus
- if WXYZ is a rhombus, then m∠XYW = m∠ZYW
- if m∠ABC = m∠XYZ, then m∠ABC = m∠ZYX
- if ABCD is a square, then ABCD is a rectangle
- if WXYZ is a rectangle, then ∠XYZ is a right angle
- if ∠ABC is a right angle, then m∠ABC = 90
- if ABCD is a rectangle, then quadrilateral ABCD is convex
- if quadrilateral ABCD is convex, then point A lies in interior of ∠BCD
- if point X lies in interior of ∠ABC, then (m∠ABX) + (m∠XBC) = m∠ABC
if the following are true:
- a + b = c
- d = b
then a + d = c
if the following are true:
- a = b
- b = c
then a = c
if a + a = 90, then a = 45
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.