Geometry 1A: Units 1 (Basic Construction) & 2 (Unknown Angles and Proofs) Skills to Know Concepts:

Please answer the following questions with examples:

• Given a picture of intersecting lines, identify angle relationships such as linear pairs (two angles only), supplementary angles, vertical angles, complementary angles, and congruent angles.
• Draw a picture and identify two adjacent angles. What relationship(s) could those angles have? What types of lines can create adjacent angles?
• Draw two parallel lines intercepted by a transversal. Label the angles with numbers. Which angles must be congruent? Which angles do not have to be congruent? When is the only time all angles would be congruent?
• Set up and solve equations when given linear pairs or supplementary angles.
• Set up and solve equations when given a triangle. Be able to substitute in your answer to find an angle measure. Identify a mistake in the work of someone who set up an equation for some sort of angles (linear pair, triangle, vertical angles, or parallel line angles).
• Given triangles involving parallel lines, set up and solve equations to find each missing angle.
• Given parallel line relationships, set up and solve equations to find angle measures.
• Given a quadrilateral, know that the sum of the four interior angles equals 360.
• Given parallel and non-parallel lines in the same picture, identify which angles must be congruent or supplementary, and which angles do not have to be congruent or supplementary. Also identify what must be true if the non-congruent angles really were congruent (what is the only way that could happen)?
• Given a description of either segments or angles, set up and solve out equations to find x and to find a segment length or angle measure. (do segments equal each other or add up to something, and do angles equal each other or add up to something?)
• Draw and correctly label a given shape. Explain why it has to be labeled a specific way.
• Complete algebraic proofs, filling in statements and reasons. Some algebraic proofs could stem from geometry pictures (such as linear pairs, or vertical angles, or triangle angles).