Question

Asap please!!!!!!! if jkl=rst, which congruences are true by cpctc? check all that apply.

a. l=r
b. jk=rs
c. k=s
d. j=s
e. kl=st
f. jl=rs

Answer 1

b, c e

Explanation:

A congruence statement lists corresponding parts in the same order. CPCTC says corresponding parts are congruent.

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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.