Question

Write down all the pairs of corresponding angles, alternate interior angles and co interior angles for the following pair of lines cut by a tranversal
a) Lines j and k cut by the transversal m
b) Lines l and m cut by the transversal j

Answer 1

Answer:

a) Lines j and k cut by the transversal m

Corresponding (∠7 and ∠15), (∠5 and ∠13), (∠6 and ∠14), and (∠8 and ∠16)

Alternate Interior (∠8 and ∠13), (∠6 and ∠15)

Consecutive Interior (∠8 and ∠15), (∠6 and ∠13)

b) Lines l and m cut by the transversal j

Corresponding (∠1 and ∠5), (∠2 and ∠6), (∠3 and ∠7), and (∠4 and ∠8)

Alternate Interior (∠6 and ∠3), (∠4 and ∠5)

Consecutive Interior (∠4 and ∠6), (∠3 and ∠5)

Step-by-step explanation:

a) Lines j and k cut by the transversal m

Corresponding (∠7 and ∠15), (∠5 and ∠13), (∠6 and ∠14), and (∠8 and ∠16)

Alternate Interior (∠8 and ∠13), (∠6 and ∠15)

Consecutive Interior (∠8 and ∠15), (∠6 and ∠13)

b) Lines l and m cut by the transversal j

Corresponding (∠1 and ∠5), (∠2 and ∠6), (∠3 and ∠7), and (∠4 and ∠8)

Alternate Interior (∠6 and ∠3), (∠4 and ∠5)

Consecutive Interior (∠4 and ∠6), (∠3 and ∠5)