Keystone Geometry Proof Practice PDF

Honor’s Keystone Geometry Name 2.6 - 2.7 Proof Practice Date In Exercises 1–3, complete the proof. 1. GIVEN: ABC CBD, m CBD = 50°, m CBE = 100° PROVE: m ABC DBE Statements Reasons 1. ABC CB...

Honor’s Keystone Geometry Name 2.6 - 2.7 Proof Practice Date In Exercises 1–3, complete the proof. 1. GIVEN: ABC CBD, m CBD = 50°, m CBE = 100° PROVE: m ABC DBE Statements Reasons 1. ABC CBD, m CBD = 50°, 1. ____ m CBE = 100° 2. ____= m CBE 2. Angle Addition Postulate 3. 50° + m DBE = 100° 3. ____ 4. m DBE = 50° 4. ____ 5. m CBD = ____ 5. Substitution Property of Equality 6. ____ 6. Definition of congruent angles 7. ABC DBE 7. ____ 2. The lengths of the sides of quadrilateral ABCD are equal. Prove that the perimeter of ABCD is equal to 4AB. GIVEN: AB BC, BC CD, CD AD PROVE: Perimeter of ABCD = 4AB Statements Reasons 1. AB BC, BC CD, CD AD 1. ____ 2. AB = BC, BC = CD, CD = AD 2. ____ 3. AB = CD, AB = AD 3. ____ 4. Perimeter of ABCD = AB + BC + 4. ____ CD + AD 5. ____ 5. Substitution Property of Equality 6. ____ 6. Simplify.  3. GIVEN: 1 and 2 are complementary. l 3, 2 4 PROVE: 3 and 4 are complementary. Statements Reasons 1. 1 and 2 are complementary. 1. ____ 2. m 1 + m 2 = 90° 2. ____ 3. 1 3, 2 4 3. ____ 4. m 1 = m 3, m 2 = m 4 4. ____ 5. m 3 + m 2 = 90° 5. ____ 6. m 3 + m 4 = 90° 6. ____ 7. 3 and 4 are complementary. 7. ____ In Exercised 4-5, write a two-column proof. 4. Use the given information to draw a diagram and then prove the statement. GIVEN: NO PQ , M is the midpoint of NO. M is the midpoint of PQ. PROVE: NM PM 5. GIVEN: LPM MNO, MNO MPO PROVE: MP LO