Geometry CP - Chapter 3 Test Review PDF

## Geometry CP - Chapter 3 Test Review ### Think of each segment in the diagram as part of a line. Which line(s) or plane(s) appear to fit the description? 1. Line(s) parallel to AB: DC, HG, EF 2. Line(s) perpendicular to BF: EF, FG 3. Line(s) skew to CD and containing point E: AE 4. Plane(s) per...

## Geometry CP - Chapter 3 Test Review ### Think of each segment in the diagram as part of a line. Which line(s) or plane(s) appear to fit the description? 1. Line(s) parallel to AB: DC, HG, EF 2. Line(s) perpendicular to BF: EF, FG 3. Line(s) skew to CD and containing point E: AE 4. Plane(s) perpendicular to plane ABE: ADE, HEF, ADC, BCG 5. Plane(s) parallel to plane ABC: HEF ### Classify each angle pair as corresponding, alternate interior, alternate exterior, consecutive interior, or consecutive exterior. Then identify the transversal. | Angle Pair | Classification | Transversal | |---|---|---| | ∠1 and ∠29 | Corresponding | _p_ | | ∠28 and ∠13 | Consecutive interior | _r_ | | ∠26 and ∠16 | Alternate exterior | _s_ | | ∠24 and ∠10 | Alternate interior | _f_ | | ∠28 and ∠16 | Corresponding | _q_ | | ∠10 and ∠13 | Consecutive interior | _s_ | ### For the following diagrams, find the value of x. 1. **Diagram 1:** x = -8, 7 2. **Diagram 2:** x = 56 3. **Diagram 3:** x = 48 4. **Diagram 4:** x = 77, y = 28 5. **Diagram 5:** x = 110, y = 28 6. **Diagram 6:** x = 40, y = 25.3 ### Find the value of x so that n || m. State the theorem or postulate that justifies your solution. 1. **Diagram 1:** x = 24, **Alternate Exterior Angles Converse Theorem** 2. **Diagram 2:** x = 5, **Corresponding Angles Converse Postulate** 3. **Diagram 3:** x = 15.615, **Consecutive Interior Angles Converse Theorem** ### Can you prove that lines p and q are parallel? If so, state the theorem or postulate that you would use. 1. **Diagram 1:** **Yes**, **Corresponding Angles Converse Postulate** 2. **Diagram 2:** **Yes**, **Alternate interior angles Converse Theorem** 3. **Diagram 3:** **No** ### Find the value of x, y, and z given that a || b. * x = 50 * y = 23 * z = 25 ### Find the measure of each angle if m∠1=135°. * m∠2 = 45° * m∠3 = 135° * m∠4 = 90° * m∠5 = 45° * m∠6 = 135° * m∠7 = 45° * m∠8 = 90° ### Given: _l_ || _m_, ∠1 ≅ ∠11. Prove: _l_ || _m_ 1. _l_ || _m_, ∠1 ≅ ∠11: Given 2. ∠1 ≅ ∠15: Alternate Exterior Angle Theorem 3. ∠5 ≅ ∠1: Transitive Property of Congruence 4. _l_ || _m_: Alternate Interior Angles Converse Theorem ### Given: _l_ || _m_, m∠1 + m∠12 = 180°. Prove: _l_ || _m_ 1. _l_ || _m_, m∠1 + m∠12 = 180°: Given 2. ∠1 ≅ ∠15: Alternate Exterior Angle Theorem 3. m∠1 = m∠15: Definition of Congruent Angles 4. m∠15 + m∠12 = 180°: Substitution Property of Equality 5. _l_ || _m_: Consecutive Interior Angles Converse Theorem ### Given: AB ⊥ BD and CD ⊥ BD. Prove: AB || CD 1. AB ⊥ BD, CD ⊥ BD: Given 2. ∠1 is a right angle, ∠2 is a right angle: Definition of Perpendicular Lines 3. m∠1 = 90°, m∠2 = 90°: Definition of Right Angle 4. m∠1 = m∠2: Substitution Property of Equality 5. ∠1 ≅ ∠2 : Definition of Congruent Angles 6. AB || CD: Corresponding Angles Converse Postulate.