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A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?

Using a ruler and a pair compasses only construct

i. triangle GBC with angle GBC 30 degrees. , |BC| = 9.5 , AND |BG| = 12 CM.

ii. L1 the locust of points 6cm from C

ii. L2 the perpendicular from C to BG

iii. Locate A and D point of intersection of L1 and GB,

iv. Measure |AD| and angle ACD


y is between x and z. t is between y and z. if xz= 82, yt=22, and xy=tz. what is tz?
In the diagram, points V, W, X, Y, and Z are collinear, VZ = 52, XZ = 20, and WX = XY = YZ. Find the indicated length.



WX =

VW =

WY =

VX =

WZ =

VY =

Suppose Q is the midpoint of segment PR. PQ = 2x + 1 and QR = 5x - 44. Find PQ.


A triangle has vertices A(-1, 2), B(4, -4), and C(1, 2). Show, using analytic geometry, that the centroid divides each median in the ratio 2:1
A circle is placed in a square with a side length of 8cm, as shown below. Find the area of the shaded region.
Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
Line can have different attributes, which one is not relevant

1.kind

2.negative

3.Quality

4.Direction

5.Length
How to find the area of a triangle, knowing the lengths of all its sides?
The bisector of the angle A at the base of the trapezoid ABCD is perpendicular to it's diagonal and crosses the side CD,at the point E and CE : ED=2:3,Find the ratio of BC:CK where k is the intersection point of the bisector with line BC.
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