Geometry

Question 0

Parallel lines

Answer 0

1) (alternate angles, ab//xy)
2) (corresponding angles, ab//xy)
3) (co-interior angles, ab//xy)

Question 1

Basic angle rules

Answer 1

1) (Angle sum of adjacent angles)
2) (vertically opposite angles)
3) (straight line)
4) (angles at a point)

Question 2

Triangles

Answer 2

1) (angle sum of a triangle)
2) (exterior angles of a triangle)
3) (isosceles)
- (base angles of isosceles triangles are equal)
- (opposite sides of isosceles triangles are equal)

Question 3

Quadrilaterals

Answer 3

1) (angle sum of a quad)
2) Parallelogram
- (opposite sides of a parallelogram are parallel)
- (opposite sides of a parallelogram are equal)
- (opposite angles of a parallelogram are equal)
- (diagonals of a parallelogram bisect each other)

Question 4

Polygons

Answer 4

1) interior angle sum of a polygon= (n-2)180
where n is the number of sides
2) exterior angle sum of a polygon = 360

Question 5

Congruent triangles conditions

Answer 5

Conditions

1) SSS
2) SAS
3) AAS
4) RHS

Question 6

Congruent triangle properties

Answer 6

1) (corresponding sides of congruent triangles are equal)

2) (corresponding angles of congruent triangles are equal)

Question 7

Similar triangle conditions

Answer 7

1) (corresponding sides in proportion)
2) (corresponding sides are in proportion about an equal included angle)
3) (equiangular)

Question 8

Similar triangle properties

Answer 8

1) (corresponding sides of similar triangles are in proportion)
2) (corresponding angles of similar triangles are equal)

Question 9

Congruent and similar triangle steps

Answer 9

*Preliminary Proof
*Main Proof
In

Question 10

Ratio of intercepts

Answer 10

a/b=x/y or a/x=b/y

Ratio of intercepts