Find the value of D.

(a)  

In the diagram below, triangle ABC is isosceles and angle ABC is 90°.

a. Find the bearing from B to A, using 3 figures in your answer.

b. Find the bearing from B to C.

(hint you don't need a compass)

(a)  

Give the reason for the following statement a = e

(a)  

A map has a scale of 1:500 000.

a. On the map, a footpath is 9 cm long. What is the length, in meters, of the footpath in real life?

b. In real life a road is 18 km long. What is the length, in meters, of the road on the map?

(a)  

Find the sizes of the angles marked a and b. Give reasons for your answers.

(a)  

a. Calculate the value of angle a.

b. Fill in the blank:

The sum of the two opposite __________ angles are equal to the ___________angle.

(a)  

Look at the diagram. Say whether the angles marked with these letters are corresponding angles, alternate angles, vertical angles, supplementary or neither of these.

a. f and d

b. c and a

c. d and h

d. g and f

e. b and e

Find the missing endpoint of a segment if the midpoint is at (2, -5) and the other endpoint is at (12, -5).

(a)  

What is the midpoint between (3, -1) and (7, -5)

(a)  

A perpendicular bisector is a line segment at the _________ at a _________ angle.

Word bank: supplementary, corresponding, alternate, angle, midpoint, 90 degree, 60, degree, 30 degrees

(a)  

Convert these distances into kilometres.

a. 45 miles

b. 205 miles

(a)  

Convert these distances into miles.

a. 112 km

b. 208 km

(a)  

Find angle x. (show your work)

(a)