Geometry Common Core Regents Review and Test Prep Bundle

Geometry Common Core Regents Review and Test Prep Bundle

GREAT RESOURCE for REGENTS REVIEW for Geometry Common Core Regents Exam.

Do your students need more hands-on activities in Geometry? This is a GROWING BUNDLE!

In this bundle I have included 12 different stations/worksheets & 1 Google Sheet Self-Checking Activity that I created for my Geometry Common Core Students. Please read the descriptions below to see what you would be purchasing!

------------------------------------------------------------------------------------------------------------------

1) Constructions in Geometry Common Core

Students will be able to create constructions for each of the following:

1. Perpendicular Bisector of a Segment

2. Perpendicular to a Point on a Line

3. Perpendicular through a Point not on a Line

4. Angle Bisector

5. Congruent Angles

6. Inscribe a Square in a Circle

7. Inscribe a Regular Hexagon in a Circle

8. Inscribe an Equilateral Triangle in a Circle

9. Copying a Line Segment

10. Construct an Equilateral Triangle Given a Line Segment

11. Construct an Isosceles Triangle Given a Line Segment

Plus an additional 6 multiple choice questions on constructions and given students' knowledge of the perpendicular bisector theorem, students will circle which of the following statements are true.

------------------------------------------------------------------------------------------------------------------

2) Distance, Midpoint, Parallel & Perpendicular Lines in Geometry Common Core

Students will be required to use the Distance Formula Algebraically or Graphically (using the Pythagorean Theorem). Students will be required to use the Midpoint Formula Algebraically or Graphically (using slope). Students will be required to find an Endpoint given a Midpoint (Algebraically or Graphically). Scaffolded with graphic organizer on first page. 8 questions total. Students will be required to find the length of a line segment and express your answer in simplest radical form. Find the midpoint given the points on a line segment. Write the equation of line in slope-intercept form and point-slope form. Write the equation of a line parallel to a line and through a point. Write the equation of a line perpendicular to a line and through a point. Write the equation of the perpendicular bisector through a given line segment.

------------------------------------------------------------------------------------------------------------------

3) Foundational Skills in Geometry Common Core: Vocabulary, Notation, Labeling Diagrams, & Parallel Lines cut by a Transversal

Students will be required to identify the symbols/notation associated with congruent, parallel, perpendicular, line segment, line, ray, and angle. Given a diagram, students will be required to identify relationships between Angle Pairs, such as vertical, complementary, adjacent, non-adjacent, linear pair, etc. Given a diagram, students will be required to state all congruences and relationships from the diagrams given. Students CANNOT assume relationships unless specifically labeled using arrowheads, arcs, tick marks, etc. on the diagrams. Given a diagram of parallel lines cut by a transversal, students will be required to classify the angle pairs as follows: corresponding, alternate interior, alternate exterior, same side interior, same-side exterior, & vertical. Students will be required to describe the relationship as congruent or supplementary. Given a diagram of parallel lines cut by a transversal, students will be required to solve algebraically for x, y, and all other requested angle measures using their knowledge of angle pair relationships.

------------------------------------------------------------------------------------------------------------------

4) Triangle Inequality Theorem & Triangle Side-Angle Relationships in Geometry Common Core

Scaffolded with graphic organizer on first page. 11 questions total. Students will need to apply the Triangle Inequality Theorem to see if a set of given sides will create a triangle. Students will need to apply the Triangle Angle-Side Relationship to determine the smallest side in a triangle or largest side in a triangle given angle measures. Students will need to apply the Triangle Angle-Side Relationship to determine the smallest angle in a triangle or largest angle in a triangle given side lengths.

------------------------------------------------------------------------------------------------------------------

5) Triangle Sum Theorem, Triangle Exterior Angle Theorem & Triangle Classifications in Geometry Common Core

Scaffolded with graphic organizer. 6 questions total with MULTIPLE parts. Students will be able to apply Triangle Sum Theorem to scenarios pertaining to triangles. Students will be able to apply Triangle Exterior Angle Theorem to scenarios pertaining to triangles. Students will need to apply their knowledge of isosceles triangles and equilateral triangles to questions. Students will classify the triangle by its sides in coordinate geometry, using the distance formula 3 times. Students will classify the triangle by its angles and sides: acute, equiangular, obtuse, right AND isosceles, scalene, and equilateral.

------------------------------------------------------------------------------------------------------------------

6) Practice with Finding Angle Measures in Geometry Common Core

2 Google Sheets on Practice with finding angle measures from the given diagram. 1st Google Sheet requires students to identify angle relationships from the given diagram, such as categorizing angle relationships as congruent, supplementary, no relationship can be drawn, or complementary. 2nd Google Sheet requires students to use their knowledge from the first sheet, to now perform algebraic operations of setting angles either congruent or sum to 180 degrees based on the angle relationships made from the first Google Sheets tab. SELF CHECKING - Cells will turn GREEN if CORRECT. NO PREP NEEDED.

------------------------------------------------------------------------------------------------------------------

7) Ratios & Partitioning Line Segments in Geometry Common Core

Students will be required to use the formula for partitioning a line segment to answer the given questions or utilize graphical methods. Students will identify the point in between the endpoints by utilizing the points in a given ratio. Question 5 is a more challenging question: Students will need to find the other endpoint value, given the ratio between the endpoints and point in between the line segment. Only the point in between and one of the endpoints will be given, the student will need to uncover the other endpoint by either utilizing the formula or by graphical means. Scaffolded with graphic organizer on first page.

------------------------------------------------------------------------------------------------------------------

8) Constructions on Points of Concurrency in Geometry Common Core

Students will be able to create constructions for each of the following:

1. Circumcenter

2. Incenter

3. Orthocenter

4. Centroid

5. Perpendicular Bisector

6. Altitude

7. Median

8. Angle Bisector

9. Construct a triangle with a scale factor of 2 centered at a point

Plus an additional 8 multiple choice questions on constructions.

------------------------------------------------------------------------------------------------------------------

9) Points of Concurrency in Geometry Common Core

Scaffolded with graphic organizer on first page. 8 questions total.

Students will need to be able to identify and define the following:

1. Altitude and Orthocenter

2. Median and Centroid

3. Perpendicular Bisector and Circumcenter

4. Angle Bisector and Incenter

Students will be required to identify which kinds of triangles have the points of concurrency inside, on, or outside of the triangle.

Students will need to be able to write the equation of a line in point slope form when given two points.

Students will be required to write the equation of an altitude through the side of a triangle, write the equation of a median through the vertex angle, and write the equation of the perpendicular bisector equation through a given line segment.

------------------------------------------------------------------------------------------------------------------

10) Know Your Facts about Properties in Geometry Common Core

Students will be able to apply their knowledge of:

1. Symbols

2. Facts about triangles such as their points of concurrency

3. Parallel lines cut by a transversal: supplementary and congruent angles

4. Distance Formula & Midpoint Formula

5. Triangle Inequality Theorem: Scalene and Isosceles Triangles

6. Angle Bisector Construction

7. Triangle Midsegment Theorem

8. Perpendicular Bisector Theorem

------------------------------------------------------------------------------------------------------------------

11) Triangle Congruences and Corresponding Parts of Congruent Triangles are Congruent (CPCTC) in Geometry Common Core

Students will be able to apply their knowledge of what makes triangles congruent: ASA, SAS, AAS, Hypotenuse-Leg, and SSS. Students will need to know that ASS/SSA and AAA are not triangle congruences. Graphic organizer on first page. 10 questions total.

This resource includes questions pertaining to

1) Methods used to prove triangles congruent

2) Corresponding Parts of Congruent Triangles are Congruent (CPCTC)

3) Triangle Congruence Proof

4) Triangle Congruence Proof with CPCTC

------------------------------------------------------------------------------------------------------------------

12) Triangle Midsegment Theorem, Side Splitter Theorem, Similarity Proofs in Geometry Common Core

Graphic organizer on first page. 7 questions total.

This resource includes questions pertaining to

1) The Triangle Midsegment Theorem

2) Side Splitter Theorem

3) The three methods to proving triangles similar: AA, SAS, and SSS Similarity

4) Creating appropriate proportions based on the corresponding sides of similar triangles

5) Using students' knowledge of parallel lines creating congruent corresponding angles, students will solve for the given variable and plug back in to solve for what the question is asking for.

6) Students will use the property of the midsegment theorem to solve for the perimeter of a given shape

7) Students will prove triangles similar using AA similarity

8) Students will prove that the cross multiplication (product of the means = product of the extremes) is a result from CSSTP (Corresponding Sides of Similar Triangles are Proportional)

------------------------------------------------------------------------------------------------------------------

13) Similar Figures with Area and Perimeter in Geometry Common Core

Students will be able to apply their knowledge to the properties of similar figures using the following facts:

• Ratio of corresponding PERIMETERS = Ratio of the corresponding SIDES
• Ratio of the corresponding AREAS = (Ratio of the corresponding SIDES)^2
• To find the scale factor (#) of enlargement or reduction, set up a ratio of corresponding sides.

Graphic organizer on first page. 9 questions total.

This resource includes questions pertaining to

1) Scale factors (grow or shrink) of one triangle to another

2) Ratios of the areas of two similar triangles

3) Ratios of the perimeters of two similar triangles

4) Ratios of the altitudes & medians of two similar triangles

5) Finding side lengths by setting up a proportion of corresponding sides

6) Solving a quadratic equation for a variable of congruent angle measures in two similar triangles

7) True or False questions about the properties of similar figures

------------------------------------------------------------------------------------------------------------------

Each station takes roughly 15-20 minutes.

NO PREP NEEDED. Answer key and DETAILED SOLUTIONS provided for all!

SUGGESTION:
Use pocket folders for each station.

Put the answer key in left-hand pocket.

Leave copies of the station activity in the right hand pocket.
When students are working in their stations, they can check their work with the answer key. I do this in my classroom and it is extremely effective.

Please leave feedback.