[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-477449-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-477449-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","staar-geometry-reference-materials-formula-charts","STAAR Geometry - Reference Materials - Formula Charts","","STAAR Geometry Reference Materials provides a compact formula chart for key geometry concepts used in academic readiness assessments. It includes circumference and area formulas for common shapes, surface area and volume relationships for prisms, pyramids, cylinders, cones, and spheres, plus core coordinate geometry tools such as the midpoint, distance, and line slope equations. The reference also summarizes right-triangle and trigonometric ratio relationships alongside essential coordinate geometry 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circumference and area formulas are included in the STAAR Geometry reference?","Question",{"text":62,"@type":63},"It lists circumference formulas using C = 2πr or C = πd, and area formulas for triangles, rectangles/parallelograms, rhombuses, trapezoids, regular polygons, and circles.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"Which solids’ surface area and volume formulas are provided?",{"text":67,"@type":63},"It provides surface area and volume charts for prisms, pyramids, cylinders, cones, and spheres, including lateral and total surface area where applicable.",{"name":69,"@type":60,"acceptedAnswer":70},"What coordinate geometry formulas appear in the reference?",{"text":71,"@type":63},"It includes the midpoint expression, the distance formula, and multiple line forms such as slope, slope-intercept, point-slope, and standard form equations, plus the right-triangle Pythagorean theorem.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},477449,1792855033,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & 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|\n\nCIRCUMFERENCE  \nCircle C = 2πr or C = π d  \n\n| \u003Cbr>AREA |  |  |  |  |\n| --- | --- | --- | --- | --- |\n| Triangle |  | A | = | ~~12~~ bh |\n| Rectangle or parallelogram |  | A | = | bh |\n| Rhombus |  | A | = | 1 dd\u003Cbr>2 1 2 |\n| Trapezoid |  | A | = | ~~12~~ (b1 + b2)h |\n| Regular polygon |  | A | = | ~~12~~ aP |\n| Circle |  | A | = | πr2 |\n| \u003Cbr>SURFACE AREA |  |  |  |  |\n|  | Lateral | Total |  |  |\n| Prism | S = Ph | S = Ph + 2B |  |  |\n| Pyramid | S = ~~12~~ Pl | S = ~~12~~ Pl + B |  |  |\n| Cylinder | S = 2πrh | S = 2πrh + 2πr2 |  |  |\n| Cone | S = πrl | S = πrl + πr2 |  |  |\n| Sphere |  | S = 4πr2 |  |  |\n| \u003Cbr>VOLUME |  |  |  |  |\n| Prism or cylinder | V |  | = | Bh |\n| Pyramid or cone | V |  | = | ~~13~~ Bh |\n| Sphere | V |  | = | 4 3 3 πr |\n\nSTAAR GEOMETRY  \nREFERENCE MATERIALS  \nCOORDINATE GEOMETRY  \nMidpoint ( ~~ ~~x~~1 ~~+2~~ ~~x~~2 ~~,~~ ~~y~~1 ~~+2~~ ~~y~~2 ~~ )  \n\n| Distance formula | d = |  (x2 − x1)2 + (y2 − y1)2 |\n| --- | --- | --- |\n| Slope of a line | m = y2 − y1 x − x\u003Cbr>2 1 |  |\n| Slope-intercept form of a linear equation | y = mx + b |  |\n| Point-slope form of a linear equation | y − y1 = m(x − x1) |  |\n| Standard form of a linear equation | Ax + By =C |  |\n| \u003Cbr>RIGHT TRIANGLES |  |  |\n| Pythagorean theorem | a2 + b2 = c 2 |  |\n\nTrigonometric ratios sin A = pyppoos~~t~~enulesge  \nadjacent leg cos A =  hypotenuse tanA = oppa~~dj~~aocseie~~t ~~l~~l~~eegg  \nB  \nA C  \n30° – 60° – 90° triangle  \nx 3  \n45° –45° – 90° triangle  \nx  \nSTAAR ALGEBRA II  \nREFERENCE MATERIALS  \n\n| | STARTM |\n| --- | --- |\n|  | State of Texas Assessments of Academic Readiness |\n\n\n| \u003Cbr>GENERAL FORMULAS |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n| Slope of a line |  | m |  | = | y2 − y1\u003Cbr>x2 − x1 |\n| Quadratic formula |  | x |  | = | − b  b 2 − 4 ac 2a\u003Cbr>|\n| \u003Cbr>FACTORING |  |  |  |  |  |\n| Difference of squares |  | a2 − b2 = (a − b)(a + b) |  |  |  |\n| Difference of cubes |  | a3 − b3 = (a − b)(a2 + ab + b2) |  |  |  |\n| Sum of cubes |  | a3 + b3 = (a + b)(a2 − ab + b2) |  |  |  |\n| \u003Cbr>LOGARITHMS |  |  |  |  |  |\n| Product |  | logb(xy) = logb x + logb y |  |  |  |\n| Quotient |  | logb ( ~~ ~~xy~~ ~~ ) = logb x − logb y |  |  |  |\n| Power |  | logb(x r) = r logb x |  |  |  |\n| \u003Cbr>CONIC SECTIONS |  |  |  |  |  |\n| General form | Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 |  |  |  |  |\n| Circle | (x − h)2 + (y − k)2 = r2 |  |  |  |  |\n| Parabola | (x − h)2 = 4p(y − k) |  | (y − k)2 = 4p(x − h) |  |  |\n| Ellipse | (x − h)2 (y − k)2\u003Cbr>~~ ~~ + ~~ ~~ = 1\u003Cbr>a2 b2 |  | (y − k)2 (x − h)2\u003Cbr>~~ ~~ + ~~ ~~ = 1\u003Cbr>a2 b2 |  |  |\n| Hyperbola | (x~~ ~~−a2h)2 − (y~~ ~~−b2~~ ~~k)2 = 1 |  | (y~~ ~~−a2~~ ~~k)2 − (x~~ ~~−b2~~ ~~h)2 = 1 |  |  |","cbCairwVbGPAqDux","https://ap.wps.com/l/cbCairwVbGPAqDux","pdf",232431,"English","# STAAR Geometry Reference Materials\n## Circumference and Area\n## Surface Area\n## Volume\n## Coordinate Geometry\n## Right Triangles and Trigonometric Ratios\n# STAAR Algebra II Reference Materials\n## General Formulas\n## Factoring\n## Logarithms\n## Conic Sections","[{\"question\":\"What circumference and area formulas are included in the STAAR Geometry reference?\",\"answer\":\"It lists circumference formulas using C = 2πr or C = πd, and area formulas for triangles, rectangles/parallelograms, rhombuses, trapezoids, regular polygons, and circles.\"},{\"question\":\"Which solids’ surface area and volume formulas are provided?\",\"answer\":\"It provides surface area and volume charts for prisms, pyramids, cylinders, cones, and spheres, including lateral and total surface area where applicable.\"},{\"question\":\"What coordinate geometry formulas appear in the reference?\",\"answer\":\"It includes the midpoint expression, the distance formula, and multiple line forms such as slope, slope-intercept, point-slope, and standard form equations, plus the right-triangle Pythagorean theorem.\"}]","STAAR Geometry - Reference Materials - Formula Charts | PDF",1790789757]