SOLUTION: I have an isosceles triangle: On top of the triangle is a line with points A and B.The triangle is labeled with E on top, C on bottom left and D on bottom right. Under the parallel
Question 1141290: I have an isosceles triangle: On top of the triangle is a line with points A and B.The triangle is labeled with E on top, C on bottom left and D on bottom right. Under the parallel line are the numbers 1 and 2 to the top left and top right of the triangle.
I am so confused.
How to write a two column proof:
Given: Line AB is parallel to line CD; line EC is congruent to line ED
Prove: Angle 1 is congruent to angle 2. Found 3 solutions by Alan3354, MathLover1, math_helper:Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website! Not clear. Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website! Given: Line AB is parallel to line CD; line EC is congruent to line ED
Prove: Angle 1 is congruent to angle 2.
1. ||............given
2. congruent ............given
3. < congruent <.........................the Isosceles Triangle Theorem
4.< congruent <.................... Alternate Interior Angles are equal
5.< congruent <....................Alternate Interior Angles are equal
6. < congruent <..............transitive property
Small correction to MathLover1's solution:
Step 4 should read "ECD is congruent to angle 1, alternate interior angles are equal"
And similarly, Step 5 should be "CDE is congruent to angle 2, alternate interior angles are equal"