if ∠A≅∠B≅∠C,THEN m∠A=m∠B=m∠C= ?
Answers
Answer:
yes you are true
because if any two object are congruent then their everything is equal by C.P.C.T
Step-by-step explanation:
hope it help you very well
Answer:
△AMC and △BMD
AM=BM ....Since M is the midpoint of the hypotenuse AB
CM=DM .... Given
∠AMC=∠BMD ..... Vertically opposite angles
∴AMC≅BMD .... SAS Rule
Option B:
∠ACM=∠BDM .... cpct
But these are the alternate angles and they are equal.
AC∣∣BD
Now, AC∣∣BD and a transversal BC intersects, then
∠DBC+∠ACB=180
o
The sum of consecutive interior angles on the same sides of the tranversal is 180
o
.
⇒DBC+90
o
=180
o
⇒DBC=90
o
∴∠DBC is a right angle.
Option C:
In △DBC and △ACB
∠DBC=ACB=90
o
BC=CB .... Common side
∴△AMC≅△BMD ... Proved
AC=BD .... cpct
△DBC≅△ACB ..... SAS Rule
Option D:
△DBC≅△ACB .... Proved
DC=AB .... cpct
⇒2CM=AB .... DM=CM=
2
1
DC
⇒CM=
2
1
AB