Download Essential Questions - Kingsley Area Schools

Essential Questions - Geometry
Chapter 1 – Tools of Geometry
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How do you make conclusions based on patterns you observe?
What are the foundation blocks of Geometry?
How do you find the measures of segments using algebra?
What are the types of angles and their relationships?
5. What are perimeter, circumference and area and how do you calculate them?
Chapter 2 Geometry
Reasoning and Proof
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How do you use special statements in geometry to draw conclusions?
How do you use deductive reasoning to draw conclusions?
What is the Vertical Angle Theorem?
What are the Properties of Congruence?
Chapter 3 Geometry
Parallel and Perpendicular Lines
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What are the types of angles created by parallel lines?
How do you prove two lines parallel?
What are the types of triangles?
What is the polygon angle sum theorem?
How are the slopes of parallel and perpendicular lines related?
Coordinate Geometry
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How do you prove slopes are parallel?
How do you find the distance between two points?
How do you find the midpoint between two points?
How do you find an equation for a circle?
Chapter 5 Geometry
Relationships Within Triangles
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What is a midsegment and its relationships within a triangle?
How do you apply the perpendicular bisector and angle bisector theorems to a problem?
What is the difference between inscribing or circumscribing a shape?
What is a median? What is formed when all three are constructed?
What is an altitude? What is formed when all three are constructed?
What is an inverse? What is a contrapositive?
What is the triangle inequality?
Chapter 6 Geometry Essential Questions
Quadrilaterals
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How do you classify/name quadrilaterals?
What are the important properties related to parallelograms?
What are the important properties related to trapezoids?
What are the important properties related to kites?
How do you solve problems algebraically using the properties of
quadrilaterals?
Chapter 7 Geometry Essential Questions
Similarity
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How do you set-up and solve a proportion?
What does it mean to be similar?
What are the three ways to prove triangles similar?
How can you use the side-splitter theorem to write a proportion?
How can you use the angle-bisector theorem to write a proportion?
Chapter 4 Geometry Essential Questions
Congruent Triangles
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What are the corresponding parts of congruent figures?
What are the 5 ways to prove two triangles congruent?
How can you write a two-column proof to show two triangles congruent?
What are the properties of isosceles and equilateral triangles?
Chapter 8 Geometry Essential Questions
Right Triangles and Trigonometry
1. How do you use the Pythagorean Theorem to find missing lengths on a right
triangle?
2. What are the specific properties for 30-60-90 and 45-45-90 triangles?
3. How do you use SIN, COS, TAN to find missing values in a right triangle?
4. How do you use vectors to indicate direction and magnitude?
Chapter 9 Geometry Essential Questions
Transformations
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What are the 4 types of isometries?
What is orientation?
What is the difference between rotational and reflection symmetry?
How do you perform a size change (dilation)?
What are a pre-image and an image and how to you label each?
What is a tessellation?
Chapter 10 Geometry Essential Questions
Area
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How do you calculate the area of various 2-D shapes?
How are the perimeter and area of similar figures related?
How can you use trigonometry to find area?
How do you calculate geometric probability?
How do you calculate length of arcs and area of sectors?
Chapter 11 Geometry Essential Questions
Surface Area and Volume
1. How do you calculate Surface Area and Volume of various prisms, cones,
cylinders and spheres?
2. How do you recognize and draw different 3-D shapes?
3. How are the area and volume of similar solids related?
Chapter 12 Geometry Essential Questions
Circles
1. What is the difference between tangent, chord and secant lines?
2. How do you calculate arc measures related to inscribed angles?
3. How do you calculate segment lengths related to chords, secants and
tangents?