> 685y bjbj 4${{"""""$:"55""J:""V@S"L+7"`0x"Y"S"S55"" : 1st/3rd Quarter Geometry Key Concepts
By Jenny Paden, jenny.paden@fpsmail.org
Name, indentify, draw, and apply facts about points, lines, segments, rays, and planes. (11)
Use length and midpoints of a segment. (12)
Measure and construct angles and angle bisectors. (13)
Identify adjacent, vertical, complementary, and supplementary angles. (14)
Find measures of pairs of angles. (14)
Apply formulas for perimeter, area, and circumference. (15)
Use distance formula to find distance between two points. (16)
Use and apply the midpoint formula. (16)
Identify parallel, perpendicular, and skew lines. (31)
Identify the angles formed by two lines and a transversal. (32)
Prove and use theorems about the angles formed by parallel lines and a transversal. (32)
Prove and apply theorems about perpendicular lines including perpendicular bisector. (34)
Classify triangles by their angle measures and side lengths. (41)
Use triangle classification to find measures and side lengths. (41)
Find the measure of interior and exterior angles of triangles. Apply theorems about the interior and exterior angles of triangles. (42)
Use properties of congruent triangles (43)
Determine triangle congruence using SSS, SAS, AAS, ASA, and HL (43 and 44)
Use CPCTC to prove parts of triangles are congruent. (45)
Apply properties of isosceles and equilateral triangles. (48)
Review properties of equality and use them to write algebraic proofs. (2.5)
Identify geometric properties of equality. (25)
Write geometric proofs for triangle congruence. (Proofs)
Apply theorems about perpendicular bisectors and angle bisectors (51)
Apply properties of perpendicular and angle bisectors of triangles (52)
Apply properties of medians and altitudes of a triangle (53)
2nd/4th Quarter Geometry Key Concepts, by Jenny Padden
jenny.paden@fpsmail.org
Prove and use properties of triangle midsegments. (54)
Apply inequalities in one triangle. (55)
Apply inequalities in two triangles. (56)
Simplify radicals (Algebra Review)
Add, subtract, multiply, and divide radicals (Algebra Review)
Use the Pythagorean Theorem and its converse to solve problems. (57)
Use Pythagorean inequalities to classify triangles. (57)
Apply properties of Special Right Triangles (58)
Classify polygons based on their sides and angles. (61)
Find measures of interior and exterior angles of a polygon. (61)
Prove and apply properties of parallelograms. (62)
Prove that a given a quadrilateral is a parallelogram. (63)
Prove and apply properties of rectangles, rhombuses, and squares (64)
Use properties of kites and trapezoids to solve problems. (66)
Write and simplify ratios as well as use proportions to solve problems. (71)
Identify similar polygons and apply properties of similar polygons (72)
Prove certain triangles are similar by using AA, SSS, SAS (73)
Use properties of similar triangles to find segment lengths (74)
Use ratios to make indirect measurements (75)
Find sine, cosine, and tangent of an acute angle in a right triangle (82)
Use sine, cosine, and tangent of the side lengths of a triangle. (82)
Solve problems involving angles of elevation and angles of depression (84)
Identify tangent, secants, and chords (111)
Use properties of tangents to solve problems (111)
Apply properties of arcs and chords (112)
Find the measure of and inscribed angle. Use inscribed angles and their properties to solve problems. (114)
Angles relationships: Find the measures of angles formed by lines that intersect circles. (115)
Find the lengths of segments formed by lines that intersect circles. (116)
Write the equation of a circle. (117)
Find the area, perimeter, and circumference of a circle, trapezoid, parallelogram, rectangle, rhombus, and triangle. (Chpt. 9 and 15)
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