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Ch.7 - Proof and Quadrilaterals

Click here for Parent Guide with Extra Practice for Chapter 7 - Proof and Quadrilaterals from CPM


Chapter

Objectives (5 Assessed)

Students will be able to…

Standard(s)

 Help/Examples

 Practice

7.1.3 Math Box

Understand that corresponding parts of congruent triangles are congruent

 

 

 

7.2.3 Math Box

Define seven specific quadrilaterals (identify auxiliary lines)


 

 

7.2.1

Identify properties of parallelograms and kites

(Reflexive and Symmetric Property)

G-CO.11, G-CO.12


 

7.2.2

Use congruent triangles to prove properties of rhombi and parallelograms  using a flowchart or two-column proof  (exponential warm-up)

G-CO.11, G-CO.12

Two-Column Geometry Triangle Proofs(CPCTC)

How to outline a flowchart proof

Flowchart Proofs

Flowchart Proof: Base angles of an isosceles are congruent

Prove that two triangles are similar by writing an algebraic proof

Please note you will be required to formally prove theorems using a flowchart or two-column proof.

Proof: Opposite angles of parallelogram congruent

Proof: Diagonals of a parallelogram bisect each other

 

7.2.3

Prove rectangles are also parallelograms

G-CO.11


 

7.2.4

Prove additional properties of quadrilaterals and isosceles triangles

 G-CO.11


 

7.2.6

Prove conjectures using similar triangles (including the midsegement theorem)

G-CO.11

Triangle Midsegment Theorem

 

7.3.1

Use the coordinate grid to define quadrilaterals

G-GPE.4, G-GPE.5, G-GPE.7 


 

7.3.2

Find the midpoint of a segment on a coordinate grid

G-GPE.4, G-GPE.7


 

7.3.4

Analyze quadrilaterals on a coordinate grid and identify them

G-GPE.4, G-GPE.6, 

G-GPE.7

Rectangle Proof on Coordinate Plane

 

7.1.4

Use understanding of reflection and congruence to learn about the central angle of a shape

 G-CO.12


 

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