Activity 1D - Construction: Using Midpoints

Assignment 4.1 - Inductive Reasoning

Assignment 4.3 - Inductive and Deductive Reasoning

Assignment 4.4 - The Measures of the Angles in a Linear Pair

Assignment 4.7 - Angle Measures and Parallel Lines

Assignment 4.8 - The Sum of the Measures of Angles of a Triangle

Assignment 4.9 - Angles in Triangles, Linear Pairs, and Vertical Angles

Assignment 4.12 - Triangle Side and Angle Inequalities

Assignment 4.15 - Exterior Angles of Polygons

Assignment 4.17 - Angles of Quadrilaterals

Assignment 4.18 - Diagonals and Angles in Parallelograms

Assignment 4.19 - The Triangle Inequality

Assignment 4.20 - Midsegments in Triangles

Assignment 4.23 - Lengths of Diagonals in Quadrilaterals

Assignment 4.13 - The Sum of the Measures of the Angles of a Polygon

Objectives: Classify reasoning as inductive or deductive. Write conclusions based on inductive or deductive reasoning.

Objectives: Measure angles in linear pairs to develop a theorem about the sum of the measures. Apply the theorem to calculate angle measures in linear pairs.

Assignment 4.5 - The Measures of Vertical Angles

Assignment 4.6 - Parallel Lines and Angle Measures

Objectives: Measure angles determined by parallel lines and a transversal to develop theorems about corresponding, alternate interior, and same side interior angles. Apply the theorems to find angle measures.

Objective: Apply theorems about corresponding and alternate interior angles to identify parallel lines.

Assignment 4.11 - The Measures of Angles in Isosceles Triangles

Assignment 4.16 - Exterior Angles of Triangles

Assignment 4.21 - The Midsegment of a Trapezoid

Assignment 4.22 - The Lengths of Sides of Parallelograms

Objectives: Measure the angles of triangles to develop a theorem about the sum of the measures. Apply the theorem to calculate angle measures in triangles.

Objective: Apply theorems about angle measures in linear pairs, vertical angles, and triangles to calculate angle measures.

Objective: Apply theorems about corresponding angles, alternate interior angles, and the angles of a triangle to calculate angle measures.

Objectives: Measure the base angles in isosceles triangles to develop a theorem about the measures. Apply the theorem to calculate angle measures in isosceles triangles.

Objectives: Measure the sides and angles of triangles to develop inequality theorems. Apply the theorems to determine relations (greater, less) among measures of sides and angle measures and angles in triangles.

Objectives: Develop a theorem for the sum of the measures of the angles of convex polygons. Apply the formula: S=180(n-2) to calculate the sum of the angle measures in polygons.

Objectives: Calculate the measure of angles in polygons. Calculate the measure of each angle in equiangular polygons.

Objectives: Name exterior angles of polygons. Develop and apply a theorem for the sum of measures of exterior angles of polygons.

Objectives: Name exterior angles and their remote angles in triangles. Develop and apply a theorem for the sum of the measures of exterior angles of triangles..

Objectives: Name consecutive and opposite angles in quadrilaterals. Develop and apply theorems to calculate measures of angles in parallelograms and trapezoids.

Objectives: Calculate measures of angles in parallelograms with diagonals. Develop and apply theorems for measures of angles in rhombuses with diagonals.

Objectives: Develop and apply a theorem to determine whether three numbers are the lengths of sides of a triangle. Given the lengths of two sides of a triangle, find the range of lengths for the third side.

Objectives: Name and measure midsegments of triangles. Develop and apply a theorem for the lengths of midsegments in triangles.

Objectives: Name and measure midsegments of trapezoids. Develop and apply a theorem for the lengths of midsegments in trapezoids.

Objectives: Measure the lengths of sides of parallelograms. Develop and apply a theorem for lengths of opposite sides of parallelograms.

Objectives: Measure lengths of diagonals and diagonal segments in quadrilaterals. Develop and apply theorems for the lengths of diagonals and diagonal segments in parallelograms, isosceles trapezoids, and rectangles.

Objectives: Identify valid arguments. Identify sound arguments. Make conclusions using deductive reasoning.

Activity 4A - Construction: Parallel Lines Using Congruent Angles

Assignment 4.10 - Angles in Triangles and Parallel Lines

Objectives: Make conclusions using inductive reasoning. Disprove incorrect conclusions with counterexamples.

Objectives: Measure pairs of vertical angles to develop a theorem about the measures. Apply the theorem to find measures of vertical angles.