Lines m and n are cut by transversal l. Lines m and n are cut by transversal l. On line m where it intersects line l, 4 angles are created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line n where it intersects line l, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7.
Which angle relationships are correct? Check all that apply.

∠1 and ∠8 are alternate exterior angles.
∠4 and ∠6 are same side interior angles.
∠5 and ∠7 are vertical angles.
∠2 and ∠8 are corresponding angles.
∠3 and ∠6 are alternate interior angles.

From the attached diagrams, the correct options are;

∠1 and ∠8 are alternate exterior angles

∠4 and ∠6 are same side interior angles

∠3 and ∠6 are alternate interior angles

Step-by-step explanation:

The given parameters are;

Line m and line n are cut by a transversal l

The angles formed between lines m and l are ∠1, ∠2, ∠4, and ∠3, while the corresponding angles formed between lines n and l are ∠5, ∠6, ∠8, and ∠7

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have