Download unit 4 CCSS

Geometry Unit #4
CCSS
BEGIN ON FEBRUARY 2, 2016 & END ON March 4, 2016
4 Quizzes, 1 Test, 1 Project
PROJECT ASSIGNED ON FEBRUARY 17 & COLLECTED ON MARCH 2
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*HSG-CO.C.11
Prove theorems about parallelograms. Theorems include: opposite sides
are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each
other, and conversely, rectangles are parallelograms with congruent diagonals.
*HSG-GPE.B.4
Use coordinates to prove simple geometric theorems algebraically. For
example, prove or disprove that a figure defined by four given points in the coordinate plane is
a rectangle.
*HSG-GPE.B.5
Prove the slope criteria for parallel and perpendicular lines and use them
to solve geometric problems.
*HSG-CO.9
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.
*HSG-GPE.B.7
Use coordinates to compute perimeters or polygons and areas of
triangles and rectangles, e.g. using the distance formula.
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VOCABULARY: QUADRILATERAL, POLYGON, SQUARE, RECTANGLE, RHOMBUS, KITE, TRAPEZOID,
ISOSCELES, REGULAR, IRREGULAR, BISECTOR, DIAGONAL, CONGRUENT, DISTANCE FORMULA,
MIDPOINT FORMULA, MIDPOINT, PARALELLOGRAM, POLYGON ANGLE SUM THEOREM,
CONSECUTIVE, OPPOSITE, MIDSEGMENT, BASE ANGLES, SLOPE FORMULA
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Geometry Unit #4
CCSS
Prior Knowledge:
Describe and justify hierarchical relationships
among quadrilaterals.
I can prove theorems about parallelograms.
Hint: use parallel lines and congruent triangles.
I can prove opposite sides are congruent.
I can prove opposite angles are congruent.
I can prove the diagonals of a parallelogram
bisect each other
I can prove rectangles are parallelograms with
congruent diagonals.
Geometry Unit #4
CCSS
I can use coordinates to prove simple geometric theorems algebraically.
I can prove or disprove that a figure defined
I can use the distance formula to show when
by four given points is a rectangle.
given a rectangle in the coordinate plane its
diagonals are congruent.
I can use slope for parallel and perpendicular lines to justify whether a shape is a special
quadrilateral.
I can use slope to show opposite sides are
I can use slope to show trapezoids have exactly
parallel in parallelograms.
one pair of opposite sides parallel.
Geometry Unit #4
CCSS