Janet is designing a frame for a client. she wants to prove to her client that m∠age ≅ m∠che in her sketch. what is the missing justification in the proof?

segment ab is parallel to segment cd, and transversal ef intersects segment ab at g and segment cd at h.

statement justification
segment ab is parallel to segment cd with transversal segment ef given
m∠age ≅ m∠hgb vertical angles theorem
m∠hgb ≅ m∠che alternate interior angles theorem
m∠age ≅ m∠che
alternate exterior angles theorem
corresponding angles theorem
reflexive property
transitive property

He graph of f(x) = |x| is stretched by a factor of 0.3 and translated down 4 units. which statement about the domain and range of each function is correct? the range of the transformed function and the parent function are both all real numbers greater than or equal to 4. the domain of the transformed function is all real numbers and is, therefore, different from that of the parent function. the range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function. the domain of the transformed function and the parent function are both all real numbers.