ProofsPolygonsTriangles Angles and Lines Parallel Lines
Angles and Lines Name a pair of vertical angles. Answers: 1 and 4; 3 and 2 5 and 8; 7 and 6
Angles and Lines Name a pair of alternate interior angles. Answers: 3 and 6; 4 and 5
Angles and Lines Classify 4 and 13 Answers: Same Side Interior Angles
Angles and Lines Name a pair of parallel planes.
Angles and Lines Name a pair of skew lines.
Parallel Lines s t m k b a m s If 9 15, then which two lines (if any) are parallel? Answer: t // s
Parallel Lines s t m b a m s If 1 14, then which two lines (if any) are parallel? Answer: k // m k
Parallel Lines s t m b a m s k If 13 and 12 are supplementary, then which two lines (if any) are parallel? Answer: none
Parallel Lines s t m b a m s k If 12 and 15 + 10 are supplementary, then which two lines (if any) are parallel? Answer: a // b
Parallel Lines s t m k b a m s If 4 1, then which two lines (if any) are parallel? Answer: a // b
Triangles Classify the triangle by its angles and sides. Answer: Acute, Scalene ° 81° 80° Not to scale
Triangles Solve for x. Answer: 57 ° 90° 33° x
Triangles – 300 Not to scale Classify by its angles and sides Answer: Obtuse Scalene A B C 60° 20° x°
Triangles What is 4x? Answer: x = 79; 4x = ° x
Triangles Solve for x and y. Answer: x = 120 ° y = 60 ° 55° 115°y°x°
Polygons Answer: The sum of the interior angles of this figure is 720. Question: What is a hexagon?
Polygons Answer: The sum of the interior angles of this polygon is Question: What is a decagon?
Polygons Answer: This is the sum of the exterior angles of any convex polygon. Question: What is 360 ° ?
Polygons Answer: The sum of the interior angles of this figure is 900. Question: What is a heptagon or septagon?
Polygons Answer: How many sides does a regular polygon have if one interior angle is 160° Question: 18 sides
Proofs Provide a justification for the statement. If a // b, then m 4 = m . Answer: If two parallel lines are cut by a transversal, then alternate interior angles are congruent a b
Proofs Provide a justification for the statement. If a // b, then m 1 = m 2. Answer: If two parallel lines are cut by a transversal, then alternate exterior angles are congruent a b
Proofs Provide a justification for the statement. If m 7 = m 3, then a // b. Answer: If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel a b
Proofs Put the statements of the proof in order to match the reasons a b Given: 1 and 7 are supplementary. Prove: m 8 = m 4 1. Given 2. Def. of Supp. s 3. Def.of a Linear Pair 4. Substitution 5. Reflexive 6. Subtraction 7. Vertical Angles are 8. Substitution Statements: A) m 8 = m 4 B) m 7 = m 4 C) m 8 = m 7 D) 1 and 7 are supplementary E) m 1 + m 4 = 180 F) m 1 + m 7 = 180 G) m 1 = m 1 H) m 1 + m 7 = m 1 + m 4 DFEHGBCADFEHGBCA
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