Common Core State Standards for Mathematics
Geometry (V07) - Semester One
Domain: Congruence (GC)
Learning Standard: Experiment with transformations in the plane Test Questions
GCO09-12.01 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13
Learning Standard: Understand congruence in terms of rigid motions Test Questions
GCO09-12.08 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. 35, 36, 39
Learning Standard: Prove geometric theorems Test Questions
GCO09-12.09 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints.  15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26
GCO09-12.10 Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. 27, 28, 29, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49
Learning Standard: Make geometric constructions Test Questions
GCO09-12.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line. 11, 12, 30
FR2, FR3
Domain: Similarity, Right Triangles, and Trigonometry (GSRT)
Learning Standard: Understand similarity in terms of similarity transformations Test Questions
GSRT09-12.02 Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides. 50, 51, 52
GSRT09-12.03 Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar. 56
Learning Standard: Prove theorems involving similarity Test Questions
GSRT09-12.04 Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity. 53
GSRT09-12.05 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.  32, 33, 34, 37, 38, 54, 55, 57, 58, 59, 60
Domain: Expressing Geometric Properties with Equations (GGPE)
Learning Standard: Use coordinates to prove simple geometric theorems algebraically Test Questions
GGPE09-12.05 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point). 31
GGPE09-12.06 Find the point on a directed line segment between two given points that partitions the segment in a given ratio. 14
GGPE09-12.07 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula. FR1


Multiple Choice: 60 points
Free Response:
20 points
80 points