Prove: DABD=ECBE
Triangle A B C with point D between points A and C and point E between points B and C and segment D E is drawn.
Drag and drop a statement or reason to each box to complete the proof.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Statement | Reason
△ABC , DE¯¯¯¯¯∥AC¯¯¯¯¯ | Given
___________ | Corresponding Angles Postulate
△BDE∼△BAC | ___________
BABD=BCBE | Polygon Similarity Postulate BA=BD+DABC=BE+EC | ____________
BD+DABD=BE+ECBE | Substitution Property of Equality
BDBD+DABD=BEBE+ECBE | Addition of Fractions
1+DABD=1+ECBE | Simplify
DABD=ECBE | Subtraction Property of Equality
