Geometry Honors
Topics Covered for Midterm 2015
Foundations for Geometry (Chapter 1)
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Identify, name and draw points, lines, segments, rays, and planes (1-1)
Apply basic facts about points, lines, and planes (1-1)
Use length and midpoint of a segment to solve problems (1-2)
Construct midpoints and congruent segments (1-2)
Name, classify, and measure angles (1-3)
Construct congruent angles and bisect angles (1-3)
Identify adjacent, vertical, complementary, and supplementary angles (1-4)
Find measures of pairs of angles (1-4)
Apply formulas for perimeter, area, and circumference (1-5)
Develop and apply the formula for midpoint (1-6)
Use the Distance Formula and the Pythagorean Theorem to find the distance
between two points 1-6)
Identify and draw reflections, translations and rotations in the coordinate
plane (1-7)
Reasoning (Chapter 2)
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Use inductive reasoning to identify patterns and make conjectures (2-1)
Find counterexamples to disprove conjectures (2-1)
Identify the hypothesis and conclusion, write, and analyze the truth value of
conditional statements and their converse (2-2)
Apply the Law of Detachment and the Law of Syllogism in logical reasoning
(2-3)
Write and analyze biconditional statements (2-4)
Identify properties of equality and use them to write algebraic proofs (2-5)
Identify properties of equality and congruence (2-5)
Write two-column proofs: prove geometric theorems by using deductive
reasoning (2-6)
Read flowchart and paragraph proofs and translate them into two column
proofs (2-7)
Parallel and Perpendicular Lines (Chapter 3)
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Identify parallel, perpendicular and skew lines (3-1)
Identify the angles formed by two parallel lines and a transversal (3-1)
Prove and use theorems about the angles formed by two parallel lines and a
transversal (3-2)
Use the angles formed by a transversal to prove lines are parallel (3-3)
Construct parallel and perpendicular lines, and perpendicular bisectors (3-3
& 3-4)
Prove and apply theorems about perpendicular lines. Construct
perpendicular lines (3-4)
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Find the slope of a line. Use slopes to identify parallel and perpendicular
lines. (3-5)
Graph lines and write their equations in slope intercept and point slope form
(3-5)
Classify lines as parallel, intersecting or coinciding (3-6)
Congruent Triangles (Chapter 4)
 Classify triangles by angle measures and side lengths (4-1)
 Use triangle classification to find angle measures and side lengths (4-1)
 Find the measures of interior and exterior angles of triangles (4-2)
 Use properties of congruent triangles (4-3)
 Prove triangles congruent by using the definition of congruence (4-3)
 Prove triangles congruent by SSS, SAS, ASA, AAS, and HL (4-4 & 4-5)
 Apply SSS, SAS, ASA, AAS, and HL to solve problems (4-4 & 4-5)
 Use corresponding parts of congruent triangles in proofs (4-6)
 Position figures in the coordinate plane for use in proofs (4-7)
 Prove theorems about isosceles and equilateral triangles (4-8)
 Apply properties of isosceles and equilateral triangles (4-8)
Properties of Triangles (Chapter 5)
 Prove and apply theorems about perpendicular bisectors and angle bisectors.
(5-1)
 Prove and apply properties of perpendicular bisectors and angle bisectors, and
their points of concurrency, circumcenter and incenter, of a triangle (5-2)
 Construct an incenter and circumcenter of a triangle (5-2)
 Apply properties of medians and its point of concurrency, centroid, of a
triangle. Determine the coordinates of the centroid. (5-3)
 Prove and use properties of triangle midsegments (5-4)
 Apply inequalities of one triangle (5-5)
 Apply inequalities of two triangles (5-6)
 Use the Pythagorean Theorem and its converse to solve problems. Use
Pythagorean inequalities to classify triangles. (5-7)
Polygons (Chapter 6)
 Classify polygons based on their sides and angles. Find and use the
measures of interior and exterior angles of polygons. (6-1)
 Prove and apply properties of parallelograms and use properties to solve
problems (6-2)
 Prove that a given quadrilateral is a parallelogram (6-3)
 Prove and apply properties of rectangles, rhombuses, and squares. Use
properties of rectangles, rhombuses, and squares to solve problems. (6-4)
 Prove that a given quadrilateral is a rectangle, rhombus, or square (6-5)
 Use properties of kites to solve problems. Use properties of trapezoids to
solve problems. (6-6)