Question

100 POINTS

Construct a horizontal line that passes through the intersection of lines AC and BC at point C. Add a vertical line segment connecting the horizontal line to line AC called FG and another vertical line connecting the horizontal line to line BC called DE.
Complete the proof.
LOOK AT IMAGE PLEASE

Answer 1

The blanks are as follows:

1. Angle addition postulate
2. Subtraction property of equality
3. Corresponding sides of similar triangles are proportional
4. Multiplication property of equality

Answer 2

The question involves constructing a horizontal line through an intersection point of two other lines, and then connecting that horizontal line to the original intersecting lines with vertical segments. The proof's completion depends on the specific theorem or postulate under examination.

Step-by-step explanation:

In order to construct these lines and complete the proof, first ensure that lines AC and BC intersect at point C. Draw a horizontal line through point C. This line would pass through the intersection of lines AC and BC.

Next, from this horizontal line, draw a vertical line segment upwards to connect it with line AC. Label this as FG. Draw another vertical line segment upwards from the horizontal line to connect with line BC and label this line as DE. Now, you have constructed the required lines as per your question's instructions.

Completing the proof will depend on the exact theorem or postulate you are trying to demonstrate, and as we do not have these specifications, it would not be possible to complete the proof within this explanation.

Learn more about Line Construction