# Geometry - math word problems

1. Segments Which of the pairs of numbers on the number line encloses the longest segment: ?
2. Line Line p passing through A[-10, 6] and has direction vector v=(3, 2). Is point B[7, 30] on the line p?
3. Segment Calculate the length of the segment AB, if the coordinates of the end vertices are A[10, -4] and B[5, 5].
4. Rectangular trapezoid The rectangular trapezoid ABCD is: /AB/ = /BC/ = /AC/. The length of the median is 6 cm. Calculate the circumference and area of a trapezoid.
5. Linear independence Determine if vectors u=(-4; -5) and v=(20; 25) are linear Linear dependent.
6. Complete construction Construct triangle ABC if hypotenuse c = 7 cm and angle ABC = 30 degrees. / Use Thales' theorem - circle /. Measure and write down the length of legs.
7. Unit vector 2D Determine coordinates of unit vector to vector AB if A[-6; 8], B[-18; 10].
8. Diameter If the endpoints of a diameter of a circle are A(10, -1) and B (3, 10), what is the radius of the circle?
9. Euclid theorems Calculate the sides of a right triangle if leg a = 6 cm and a section of the hypotenuse, which is located adjacent the second leg b is 5cm.
10. Map 2 At what scale is made map if the distance 8.2 km corresponds on the map segment 5 cm long?
11. Airplane Aviator sees part of the earth's surface with an area of 200,000 square kilometers. How high he flies?
12. Vector sum The magnitude of the vector u is 12 and the magnitude of the vector v is 8. Angle between vectors is 61°. What is the magnitude of the vector u + v?
13. Construct 1 Construct a triangle ABC, a = 7 cm, b = 9 cm with right angle at C, construct the axis of all three sides. Measure the length of side c (and write).
14. Trapezoid IV In a trapezoid ABCD (AB||CD) is |AB| = 15cm |CD| = 7 cm, |AC| = 12 cm, AC is perpendicular to BC. What area has a trapezoid ABCD?
15. Vectors Vector a has coordinates (8; 10) and vector b has coordinates (0; 17). If the vector c = b - a, what is the magnitude of the vector c?
16. TV diagonal Diagonal TV is 0.56 m long, how big the television sreen is if the aspect ratio is 16:9? 4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall?
18. Square side Calculate length of side square ABCD with vertex A[0, 0] if diagonal BD lies on line p: -4x -5 =0. Nine meters height poplar tree has a shadow 16.2 meters long. How long shadow have at the same time Joe if he is 1,4m tall? The ratio of the similarity of the squares ABCD and KLMN is 2.5. Square KLMN area is greater than area of a square ABCD with side a: ?