Complete the proof. Given:

CM ⊥ AB

∠3 = ∠4

Prove:

△ AMC ≅ △ BMC

Use the information provided to complete a two-column proof.

△ AMC ≅ △ BMC ⇒ proved down

Step-by-step explanation:

Let us revise the cases of congruence  

In Δ ABC

∵ CM ⊥ AB

∴ m∠AMC = m∠BMC = 90°

∴ ∠1 ≅ ∠2

In the two triangles AMC and BMC

∵ ∠1 ≅ ∠2 ⇒ proved

∵ ∠3 ≅ ∠4 ⇒ given

∵ CM is a common side in the two triangles

∴ CM ≅ CM ⇒ common side

→ Two angles and the side joining them in the 1st triangle ≅ two angles

   and the side joining them in the 2nd triangle, then use the 3rd case

   of congruency above

∴ Δ AMC ≅ Δ BMC ⇒ by using ASA postulate

△ AMC ≅ △ BMC ⇒ proved down

Step-by-step explanation:

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: