Question 14 of 42
What is the missing reason for the 3rd step in the proof below?
Given: AX || CY, BX || DY, AB || CD
A ABX-ACDY
Prove: Slope of AB - slope of CD
1. AXDY, BXDY. ABCD
A ABD-A DBC
BX
Statement
2DY
3. AX-DY=BX-CY
DY=BX-CY DY-BX
AX
BX
-slope of COAX-slope of AB
5. Slope of AB-slope of CD
OA. SSS theorem
1. Given
2. Definition of similar triangles: Corresponding
sides of similar triangles are proportional.
3.
Reason
4. Definition of slope
5. Substitution
