Halloween Escape Room

What is the converse of this conditional statement?

If I play the trumpet, then I play a brass instrument.

• If I play the trumpet, then I play a brass instrument.

• If I play a brass instrument, then I play the trumpet.

• If I do not play the trumpet, then I do not play a brass instrument.

• If I do not play a brass instrument, then I do not play the trumpet.

What is the converse of this conditional statement?

If you give a mouse a cookie, then he's going to ask for a glass of milk.

• If you do not give a mouse a cookie, then he's not going to ask for a glass of milk.

• If you give a mouse a cookie, then he's going to ask for a glass of milk.

• If a mouse does not ask for a glass of milk, then you did not give him a cookie.

• If a mouse asks for a glass of milk, then you gave him a cookie.

What is the converse of this conditional statement?

If two lines intersected by a transversal are parallel, then alternate interior angles are congruent.

• If alternate interior angles are congruent, then two lines intersected by a transversal are parallel.

• If alternate interior angles are not congruent, then two lines intersected by a transversal are not parallel.

• If two lines intersected by a transversal are parallel, then alternate interior angles are congruent.

• If two lines intersected by a transversal are not parallel, then alternate interior angles are not congruent.

What is the converse of this conditional statement?

If two lines intersected by a transversal are parallel, then same-side interior angles are supplementary.

• If two lines intersected by a transversal are parallel, then same-side interior angles are supplementary.

• If same-side interior angles are supplementary, then two lines intersected by a transversal are parallel.

• If two lines intersected by a transversal are not parallel, then same-side interior angles are not supplementary.

• If same-side interior angles are not supplementary, then two lines intersected by a transversal are not parallel.

If the notation for a conditional statement is p → q (If p, then q), what would the notation for a converse be?

• ~p → ~q

  (If not p, then not q)

• p → q

  (If p, then q)

• ~q → ~p

  (If not q, then not p)

• q → p

  (If q, then p)

Which line in this image is the transversal?

• x

• y

• z

State which lines would be parallel and how you know if ∠2 ≅ ∠6

• y || z by the Converse of Corresponding Angles

• x || z by the Converse of Corresponding Angles

• y || z by the Converse of Alternate Exterior Angles

• x || z by the Converse of Alternate Exterior Angles

State which lines would be parallel and how you know if ∠8 ≅ ∠4

• x || y by the Converse of Alternate Exterior Angles

• y || z by the Converse of Alternate Interior Angles

• y || z by the Converse of Alternate Exterior Angles

• x || y by the Converse of Alternate Interior Angles

State which lines would be parallel and how you know if

m∠4 + m∠3 = 180

• y || z by the Converse of Same-Side Interior Angles

• y || z by the Converse of Alternate Interior Angles

• x || z by the Converse of Alternate Exterior Angles

• x || z by the Converse of Same-Side Interior Angles

State which lines would be parallel and how you know if ∠2 ≅ ∠3 (hint: the transversal has to touch both angles)

• r || s by the Converse of Corresponding Angles

• r || s by the Converse of Same-Side Interior Angles

• q || p by the Converse of Corresponding Angles

• q || p by the Converse of Same-Side Interior Angles