Homework Help for Geometry

PLEASE ANSWER ASAP!!!!

Directions: Complete each problem below.

In each of the following problems draw a right triangle for each problem then substitute values and solve.

1. A suitcase measures 22 inches long and 16 inches high. What is the diagonal length of the suitcase to the nearest foot?

2. A right triangle has a hypotenuse of 25 and a leg of 7. What is the measure of the other leg?

3. Two joggers run 6 miles north then 9 miles west. What is the shortest distance to the nearest mile that they must travel to return to the starting point?

4. A 104-foot ladder is leaned against a wall. If the base of the ladder is 40 ft from the wall, how up the wall will the ladder reach?

5. To avoid the pong Fred must walk 10 meters south and 24 meters east> To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

6. A triangle has a width of 15 inches and a diagonal of 17 inches. Find the length of the rectangle in inches.

7. Slanted sides of a tent are 11 feet long each and the bottom of the tent is 12 feet across. What is the tallest point of the tent?

8. A 12-foot pole casts a shadow of 16 feet. What is the distance between the end of the shadow and the top of the pole?

9. Harold rides his bike 33 km south and then 56 km west. How far is the shortest distance from his starting point?

Please help

Directions: Complete each problem below.

Part A

Directions find the missing value in the following right triangles.

Note: Use your calculator and round all your answers to whole numbers.

1.a= 4     b=?     c=10

1. a=?     b=3     c=12

3.a=6      b=?     c=14

4.a=7      b=?     c=12

5.a=?      b=9     c=10

6.a=3      b=?     c=6

7.a=?      b=11   c=14

8.a=10    b=?     c=12

9.a=15    b=?     c=25

10.a=?    b=12   c=12

Directions: find the value of the hypotenuse for each of the following right triangles.

1. a = 5, b = 8
   2. a = 6, b = 7
   3. a = 4, b = 9
   4. a = 3, b = 12
   5. a = 11, b = 10
   6. a = 8, b = 7
   7. a = 9, b = 4
   8. a = 7, b = 11
   9. a = 13, b = 15
   10. a = 5, b = 6

Identify the figures below as symmetrical or asymmetrical.

1. 

2. 

3. 

4. 

5. 

6. 

7. 

8. 

9. 

10. 

11. 

12. 

5. Find the measure of each angle in the figure below.

Lines are named with the capital letter; angles are named with the lower case letter.

Angle a = ?

Angle b = ?

Angle c = ?

Angle d = ?

Angle e = ?

Angle f = ?

4.

Set 1 angle a = ?

Set 1 angle b = ?

Set 2 angle b = ?

Set 2 angle c = ?

3. angles a and b in both angles sets are ?

2.

set 1 angles a and c are ? set 2 angles b and d are ?

1. Find the distance and the midpoints between each of the following given
pairs of points.

a) (0, 5) and (0 -6)

b) (3, 0) and (-4, 0)

c) (5, 2) and (7, 6)

d) (-3, 4) and (1, -3)

e) (6, 4) and (2, 1)

f) (-2, -4) and (3, 8)

g) (0, 0) and (5, 10)

h) (2, 1) and (4, 0)

i) (6, 4) and (6, -2)
j) (-5, 2) and (7, -7)

Answer the following questions.

1. In your own words, describe the following:

a.) Cartesian Coordinate System

b.) The uses of the system

c.) Who developed the system?

d.) Historically, why is the system unique?

2. Use the list below to write the correct term for each definition on the line provided.

a.) the first number of an ordered pair

b.) the second number of an ordered pair

c.) any of four regions formed by the axes in a rectangular coordinate system

d.) the point at which two lines meet

e.) numbers that correspond to points on a graph in the form (x, y)

f.) the intersection of the x-axis and y-axis in a coordinate plane, described by (0,0)

g.) the horizontal and vertical number lines used in a rectangular graph or coordinate grid system as a fixed reference for determining the position of a point

h.) the vertical ( ) axis on a coordinate plane

i.) the horizontal ( ) axis on a coordinate plane

j.) a line on which numbers can be written or visualized

k.) the location of a single point on a rectangular coordinate system where the digits represent the position relative to the x-axis and y-axis Example: (x, y) or (3, 4)

l.) network of evenly spaced, parallel horizontal and vertical lines especially designed for locating points, displaying data, or drawing maps