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
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Answer:
Pendulum will swing by an angle 0.666π
Step-by-step explanation:
We have given arc =
And length of the pendulum l = 150 cm
Length of the pendulum will be equal to radius of the pendulum so r = 150 cm
Arc is given by
So
So pendulum will swing by an angle 0.666π
Solution:
The Point in the coordinate plane is A(-5,-4).
Perpendicular or shortest Distance from line y=3 that is (-5,3) to point (-5,-4) is
When it is reflected through the line, y=3, the coordinate of point A (-5,-4) changes to (-5,3+7)= B(-5,10).
Now, the Point B is translated by the rule , (x,y)—->(x+6,y),
So,the point B is translated to, (-5+6,10)=(1,10)
Option C: (1,10) is the glide reflection of point A(-5,-4).
