Answer:
b, c e
Step-by-step explanation:
A congruence statement lists corresponding parts in the same order. CPCTC says corresponding parts are congruent.
__
To see if any particular statement is consistent with CPCTC, identify the locations of the referenced parts in the congruence statement. If they match, the congruence is true
a. l = r ... jkl = rst . . . . not in the same place
b. jk = rs ... jkl = rst . . . . a match; true
c. k = s ... jkl = rst . . . . a match; true
d. j = s ... inconsistent with (c)
e. kl = st ... jkl = rst . . . . a match; true
f. jl = rs ... inconsistent with (b)
Statements b, c, e are consistent with the congruence statement, and are true by CPCTC.
The <em>correct answer</em> is:
Place the point of the compass on the vertex of our original angle. Open the compass to a random width and draw an arc through both legs of the angle. Mark the points of intersection with this arc and the sides of the angle.
Explanation:
In order to copy the angle, we need to have some reference for how wide the angle is.
So far all we have is a ray. To get the reference for the width that we need, we will construct an arc in the original angle such that it intersects each side of the angle.
We will then set the compass width to these points of intersection. This will be how we set the width of the new angle.
Answer:
a. 6
b. 144
Step-by-step explanation:
a. 25% of 24 is 6
b. 24 x 6 = 144
Answer:
ΔNPM and ΔOMP by SAS postulate
B is correct
Step-by-step explanation:
In ΔNPM and ΔOMP
NP = OM (Given)
∠NPM = ∠OMP (Given)
PM = MP ( Common )
So, ΔNPM ≅ ΔOMP by SAS property of concurrency.
ΔNPM and ΔOMP are congruent because their two side and angle between them are equal.
Therefore, SAS postulate use here
Hence, ΔNPM and ΔOMP by SAS postulate