Regents Review

Question 1

45-45-90 triangle

Answer 1

side opposite 45- x
side opposite 45- x
side opposite 90-x√2

Question 2

30-60-90 triangle

Answer 2

side opposite 30- x
side opposite 60- x√3
side opposite 90 (hypotenuse)- 2x

Question 3

angle of elevation

Answer 3

from horizontal line of sight up to an object

Question 4

angle of depression

Answer 4

from horizontal line of sight down to an object

Question 5

What theorems cannot be used to prove triangles congruent?

Answer 5

AAA, ASS

Question 6

What is preserved with a rigid transformation?

Answer 6

length and angle measure

Question 7

sum of any two sides of a triangle is (greater than, less than, equal to) the third side

Answer 7

greater than

Question 8

Parallelogram Theorems (name all 5)

Answer 8

opposite sides parallel
opposite sides congruent
opposite angles congruent
consecutive angles supplementary
diagonals bisect each other

Question 9

rectangle theorems

Answer 9

all parallelogram theorems + 4 right angles, diagonals are congruent

Question 10

Rhombus theorems

Answer 10

all parallelogram theorems plus 4 congruent sides, diagonals are perpendicular, diagonals bisect angles

Question 11

square theorems

Answer 11

all theorems of parallelograms, rectangles and rhombuses

Question 12

Intersecting chords rule

Answer 12

segment part x segment part = segment part x segment part

Question 13

secants and tangents congruency

Answer 13

whole x external = whole x external

The “outside parts” of two tangents originating at the same point - congruent