S1 Geometry

Question 1

Area of a triangle

Answer 1

base x height/2

Question 2

Area of parallelogram

Answer 2

base x height

Question 3

Area of trapezium

Answer 3

(upper base + lower base) x height/2

Question 4

Length of a segment on cartesian coordinates with endpoints (a, b) and (a, c)

Answer 4

|c-b|
(the larger number minus the smaller number)

Question 5

Reasons for congruent triangles

Answer 5

SSS, SAS, ASA, AAS, RHS

Question 6

Reasons for similar triangles

Answer 6

AAA/AA, 3 sides proportional, ratio of 2 sides inc. angle

Question 7

Which reason for congruence/similarity is only applicable for right triangles?

Answer 7

RHS
“ASS” configuration but is only a reason when the triangles are right.

Question 8

Properties of congruent triangles

Answer 8

1. corresponding sides are equal in length. (corr. sides, congruent ∆s)
2. corresponding angles are equal in size. (corr. <s, congruent ∆s)

Question 9

Properties of similar triangles

Answer 9

1. corresponding sides have equal ratio. (corr. sides, ~∆s)
2. corresponding angles are equal in size. (corr. <s, ~∆s)

Question 10

Reasons for parallel lines

Answer 10

1. corresponding angles are equal. (corr. <s equal)
2. alternate interior angles are equal. (alt. <s equal)
3. interior angles add up to 180º. (int. <s supp.)

Question 11

Properties of parallel lines AB//CD

Answer 11

1. corresponding angles are equal. (corr. <s, AB//CD)
2. alternate interior angles are equal. (alt. <s, AB//CD)
3. interior angles add up to 180º. (int. <s, AB//CD)