Question

geometry unit 2 study guide
name:
date:
for questions 1 - 5, match each angle set to the correct relationship.

1. corresponding angles:
2. alternate exterior angles:
3. alternate interior angles:
4. consecutive interior angles:
5. no relationship:

a. ∠1 & ∠8
b. ∠2 & ∠16
c. ∠12 & ∠14
d. ∠2 & ∠6
e. ∠11 & ∠14

1. name the transversal that connects...

a. ∠1 and ∠8:
b. ∠3 and ∠11:

Explanation:

Step1: Match Corresponding Angles

Corresponding angles occupy matching positions on parallel lines cut by a transversal. ∠2 and ∠6 are in the same relative position on lines $r$ and $s$ cut by transversal $p$.

Step2: Match Alternate Exterior Angles

Alternate exterior angles lie outside parallel lines, on opposite sides of the transversal. ∠1 and ∠8 are outside $r$ and $s$, opposite sides of $p$.

Step3: Match Alternate Interior Angles

Alternate interior angles lie inside parallel lines, on opposite sides of the transversal. ∠12 and ∠14 are inside $r$ and $s$, opposite sides of $q$.

Step4: Match Consecutive Interior Angles

Consecutive interior angles lie inside parallel lines, on the same side of the transversal. ∠11 and ∠14 are inside $r$ and $s$, same side of $q$.

Step5: Identify No Relationship

∠2 is on line $r$/transversal $p$, ∠16 is on line $s$/transversal $q$; they have no angle relationship from the parallel line rules.

Step6a: Find transversal for ∠1 & ∠8

∠1 and ∠8 are on lines $r$ and $s$, cut by transversal $p$.

Step6b: Find transversal for ∠3 & ∠11

∠3 and ∠11 are on lines $p$ and $q$, cut by transversal $r$.

Answer:

1. Corresponding Angles: D. ∠2 & ∠6
2. Alternate Exterior Angles: A. ∠1 & ∠8
3. Alternate Interior Angles: C. ∠12 & ∠14
4. Consecutive Interior Angles: E. ∠11 & ∠14
5. No Relationship: B. ∠2 & ∠16
6. a. ∠1 and ∠8: $p$

b. ∠3 and ∠11: $r$