Question

Given: ABCD is a trapezoid.

BA CD
CA
Prove: BD
B
A
D
C
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Angles Segments Triangles Statements Reasons
112
Statements
ABAD
ACDA
Reasons

Answer 1

Explanation:

in the figure AB & CD are equal and AD & BC are parallel

therefore, the angle BAD and angle CDA are equal

In, ΔBAD & ΔCDA

line BA = line CD

angle BAD = angle CDA

line AD is common in bith triangles

so, ΔBAD is congrent to ΔCDA.

therefore, line BD = line AC as ΔBAD is congrent to ΔCDA.

Hence, proved