The figure below shows line t, which intersects segment AB: Segment AB is intersected by line t. Point C is on line t.

In the image above, line t is a perpendicular bisector and angle 4 is congruent to angle 6. Write a paragraph to prove that point C is equidistant from points A and B. (10 points)

Step-by-step explanation:

Given:

Line 't' is a perpendicular bisector of AB.

AD ≅ BD

∠4 ≅ ∠6

To prove:

AC = BC

Construction done:

Completed triangle ABC by joining AC and BC.

Since, AD ≅ BD [Given]

∠4 ≅ ∠6 [Given]

∠ADC ≅ ∠BDC [Supplementary angles of ∠4 and ∠6]

CD ≅ CD [Reflexive property]

ΔACD ≅ ΔBCD [SAS property of congruence]

AC ≅ BC [CPCTC]

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

the answer is a beach is the best place to be