Question

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.

Answer 1

Answer with explanation:

it is given that ,in ΔABC,

 ∠BAD=20°, and ∠CAD=54°

We have to adjust point D,so that measure of angle BAD is equal to the measure of angle CAD.

that is, if point D is moved to right of B,then ∠BAD increases from 20° to (20+x)° and ∠CAD decreases from 54° to (54-x)°.

→20 +x=54-x

⇒ 2 x= 54 -20

⇒2 x=34

x=17°

Using angle bisector theorem, if AD bisects ∠B AC.

$\frac{BA}{AC}=\frac{BD}{DC}$

so,

If, ∠BAD=∠CAD=37°, then

1. AD bisects ∠B AC.→→→Option A

Answer 2

Answer:2,3,4

Step-by-step explanation:

i just did it