University:
Winston-Salem Forsyth County Schools
Course:
AP Calculus AB
Academic year:

2014
Views:

110

Pages:

4
Author:

brbljanje92l

Title: Math 111 Heading: Review: Parallel Lines, Triangles, and Parallelograms Instructions: Find the missing values. Find the values of x for which l || m. Diagrams: A diagram showing parallel lines b, d, f, and h, with various angles labeled. A diagram showing parallel lines l and m, with several angles labeled. A diagram of a triangle EFG with angles labeled. A diagram of a parallelogram QRST with angles labeled. Mathematical expressions: Various equations involving angles, such as: m∠5 = 150°, m∠14 = 25° m∠2 = ? m∠4 = 8x + 12, m∠6 = x + 54 2x + 27 + 8x - 7 = 180 x² + 9x = 5x + 12 2x - 30 = x 4y + 45 + 5y = 180 x + 20 + 90 = 180 Heading: II. Triangle Sum, Midsegment, Parts of Triangles Instructions: Find the indicated values. Diagrams: A diagram of a triangle with angles labeled. A diagram of a triangle with midpoints labeled. A diagram of a triangle with an altitude labeled. A diagram of a triangle with a median labeled. A diagram of a triangle with a perpendicular bisector labeled. A diagram of a triangle with a centroid labeled. Mathematical expressions: Various equations involving angles, side lengths, and midsegments, such as: x + 50 + 110 = 180 2x + 110 = 180 2(3x + 2) = 7x - 11 10x - 7 = 5x + 3 4y - 1 = 2y + 5 12z + 6 = 90 (2/3)(24) = 16 Heading: III. Proportions and Triangle Similarity Instructions: Can the two triangles shown be proved similar? If so, state the similarity and which similarity postulate or theorem you would use. Find the value of x. Find the value of x and y. Heading: IV. Parallelograms Instructions: Find the requested measurements for parallelogram MNOP. Diagrams: A diagram of a triangle with a circumcenter labeled. Three diagrams showing pairs of triangles. A diagram of a parallelogram with side lengths and angles labeled. Mathematical expressions: Various equations involving side lengths, angles, and proportions, such as: MS = 14, GR = 6, PG = 16 6/12 = 1/2, 7/18 = 1/3, 15/6 = 5/2 4/48 = 2/3, 15/6 = 5/2 2x + 12 = 5x - 36 Headings: (#39-41) COLD is a Rectangle (#42-47) ABCD is a Rhombus (#48-50) ABCD is a Square Instructions: Find the indicated values. Diagrams: A diagram of a rectangle COLD with angles and side lengths labeled. A diagram of a rhombus ABCD with angles and side lengths labeled. A diagram of a square ABCD with angles and side lengths labeled. Mathematical expressions: Various equations involving angles, side lengths, and properties of quadrilaterals, such as: m∠OLD = 5(x + 3) m∠TCD = 72° DT = 2x + 6, TO = 9x - 8 m∠1 = 15°, m∠2 = 90°, m∠3 = 75° m∠DAB = 30°, m∠DBC = 75° AB = x + 15, CD = 4x + 3 m∠AEB = 90°, m∠ECB = 45°