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.
2 answers:
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.
so,
If, ∠BAD=∠CAD=37°, then
1. AD bisects ∠B AC.→→→Option A
You might be interested in
Answer:
C. Isosceles Triangle
Step-by-step explanation:
An Isosceles triangle is a type of triangle in geometry that has two sides of equal length.
From the figure attached, triangle STR has two sides of equal length which are;
1.) ST and
2.) TR
The two equal sides (ST and TR) are called legs while the third side is called the base of the triangle.
*P.S: I believe your question is based on the image attached
