In parallelogram ABCD shown, point E and F are located on diagonal BD and point G is located on side AB such that GE and CF are perpendicular to BD. Prove: trainge BEG is similar to traingle DFC​

Match the Statement number with the Reason number.

Step-by-step explanation:

Statements:

1.GE is perpendicular to BD

CF is perpendicular to BD

2. Angle GED equal 90

Angle DFC equal 90

3. Angle GED is congruent to Angle DFC

4. Angle GBE is congruent to Angle FDC

5. Triangle BEG is similar to DFC

Reasons:

1.Given

2. Definition of perpendicular lines

3. Transitive property

4. Alternate Interior Angles

5. AA Similarity

(x, y) -> (x + 1, y + 1), (x, y) -> (y, x)

Step-by-step explanation:

I'll use point B (-3,0) for this problem.

First, the translation rule tells us to add 1 to the x value and add 1 to the y value. Now we have (-2, 1). Next, the rule tells us to flip the x and y coordinates. Now we have (1, -2). This matches to vertex B''(1, -2).