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Chapter 3: Q12 (page 76)

Classify each pair of angles as alternate interior, same side interior or corresponding angles

art

and

Short Answer

Expert verified

and are corresponding angles

Step by step solution

01

. Observe the diagram

In the diagram, the angles are mentioned by the alphabets A, B, C, D, E, F, G, H, J,K, L respectively.

02

Step 2. State the definition

Alternate interior angles: These are the two nonadjacent interior angles which are on the opposite sides of the transversal.

Same-side interior angles: These are the two interior angles which are on the same sides of the transversal.

Corresponding angles: These are the two angles which relative to the two lines are in the corresponding position.

03

Step 3. State the explanation

Consider the figure

It can be observed that are in the corresponding position with respect to the transversal .

Thus, by using the above definitions, it can be said that are

corresponding angles.

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Most popular questions from this chapter

State the postulate or theorem that justifies each statement.

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Draw each figure described.

42. Lines I鈭�plane X, plane X鈭�plane Y, and I is not parallel to Y.

If m鈭�4=2m鈭�3find m鈭�6

State the postulate or theorem that justifies each statement.

鈭�3鈮�鈭�6

Alan tried to prove Postulate 10 as shown below. However, he did not have valid proof. Explain why not.

If two parallel lines are cut by a transversal, then corresponding angles are congruent.

Given k鈭�l; transversal tcuts kand I

Prove: 鈭�1鈮�鈭�2

Statement

Reason

1.k鈭�l

Given

2.鈭�3鈮�鈭�2

If two parallel lines are cut by transversal then alt. int. 鈭�sare鈮�

3.鈭�1鈮�鈭�3

Vert. 鈭�sare鈮�

4.鈭�1鈮�鈭�2

Transitive Property
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