# Geometry Proofs HELP!!

how do i do this?
given: m//n g//h
Prove: angle 4 congruent to angle 16

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1. I've drawn a picture given line m is parallel to line n, and line g is parallel to line h. However, I don't know how your angles are numbered, so I can't identify angles 4 and 16. Can you provide some clarification of the angles?

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2. from the top
line m:(top)1,2,3,4 (bottom)8,7,6,5
line n:(Top)9,10, 11,12 (bottom)16,15,14,13

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3. I'm still having trouble understanding this notation. Could you copy and paste the following paragraphs, filling in all the angle numbers?

Where lines m and g intersect, there are four angles. Above line g on the left of line m, the angle is _. Above line g on the right of line m, the angle is _. Below line g on the left of line m, the angle is _. Below line g on the right of line m, the angle is _.

Where lines n and g intersect, there are four angles. Above line g on the left of line n, the angle is _. Above line g on the right of line n, the angle is _. Below line g on the left of line n, the angle is _. Below line g on the right of line n, the angle is _.

Where lines n and h intersect, there are four angles. Above line h on the left of line n, the angle is _. Above line h on the right of line n, the angle is _. Below line h on the left of line n, the angle is _. Below line h on the right of line n, the angle is _.

Where lines m and h intersect, there are four angles. Above line h on the left of line m, the angle is _. Above line h on the right of line m, the angle is _. Below line h on the left of line m, the angle is _. Below line h on the right of line m, the angle is _.

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4. Where lines m and g intersect, there are four angles. Above line g on the left of line m, the angle is 4_. Above line g on the right of line m, the angle is _5. Below line g on the left of line m, the angle is 3_. Below line g on the right of line m, the angle is 6_.

Where lines n and g intersect, there are four angles. Above line g on the left of line n, the angle is 12_. Above line g on the right of line n, the angle is 13_. Below line g on the left of line n, the angle is 11_. Below line g on the right of line n, the angle is 14_.

Where lines n and h intersect, there are four angles. Above line h on the left of line n, the angle is 10_. Above line h on the right of line n, the angle is 15_. Below line h on the left of line n, the angle is 9_. Below line h on the right of line n, the angle is 16_.

Where lines m and h intersect, there are four angles. Above line h on the left of line m, the angle is 2_. Above line h on the right of line m, the angle is 7_. Below line h on the left of line m, the angle is 1_. Below line h on the right of line m, the angle is 8_.

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5. Okay, start by stating that m//n and g//h. You're just using your different properties for congruency.

1. m // n and g // h --> given
2. Angle 4 congruent to Angle 8 --> alternate exterior angles
3. Angle 8 congruent to Angle 10 --> alternate interior angles
4. Angle 10 congruent to Angle 16 --> corresponding angles
5. Therefore, Angle 4 congruent to Angle 16 --> transitive property

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6. thanks but i have another one
should i just ask now or make a new question?

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7. BM is perpendicular to AC
M is the midpoint of AC
and prove that angle abm is congruent to angle cbm

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