Adjust point D so the measure of angle BAD is equal to the measure of angle CAD. Which statements are true? Check all that apply. AD bisects ∠BAC.
AD bisects BC.
AD forms right angles with BC.
AD is perpendicular to BC.
AD is the perpendicular bisector of BC.

A) Segment AD bisects angle BAC

C) Segment AD forms right angles with Segment BC

E) Segment AD is the perpendicular bisector of Segment BC

Step-by-step explanation:

The directions state, "Adjust point D so the measure of angle BAD is equal to the measure of CAD". On the triangle image given, there is a point colored in a shade of light orange. This point can be dragged along Segment BC, using your mouse. Line it up evenly with Point A. A line will now be visible, dividing the triangle evenly. This line is Segment AD.

Answer choice "A" is correct because in the picture you should clearly see that Segment AD bisects Angle BAC. Thus, Segment AD divides the triangle.

Answer choice "C" is also correct because if you look at the picture I have attached, you should be able to see a right angle noted beside Point D, on Segment BC.

Answer choice "E" is another correct answer because Segment AD is a perpendicular bisector of Segment BC.

According to Wolfram MathWorld, "A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of...".

explanation:

step-by-step explanation:

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)