Geometry and Trigonometry Concepts

Miss Ty reviews questions 1-6 from the January 2024 Geometry Regents exam. The video covers the use of the reference sheet, trigonometric relationships in right triangles, properties of similar triangles, identifying lines of symmetry, calculating area and determining the number of bundles needed, understanding slopes of perpendicular lines, and using trigonometry to find lengths in right triangles.

What is the only geometry-related information available on the 2024 reference sheet?

• Area of a triangle and circle

• Volume of a cube

• Surface area of a sphere

• Trigonometric identities

Which formula is NOT included in the 2024 reference sheet?

• Area of a parallelogram

• Pythagorean theorem

• Circumference of a circle

• Sine rule

What is the equivalent expression for sin(30°) in a right triangle?

• tan(30°)

• sin(60°)

• cos(60°)

• cos(30°)

In a 30-60-90 triangle, what is the length of the hypotenuse if the side opposite 30° is 1?

• 2

• 1

• √3

• 3

If two triangles have two pairs of congruent angles, what can be concluded about the triangles?

• They are congruent

• They are isosceles

• They are similar

• They are identical

What is the length of KR if SK is 10, SP is 8, and PA is 6?

• 9.5

• 8.5

• 7.5

• 6.5

Which line of reflection will map a rectangle onto itself?

• x = 2

• y = x

• x = y

• y = 2

What is the equation of the line of symmetry for a rectangle that is 8 units in height?

• y = 1

• y = 2

• y = 3

• y = 4

How many square feet is the total area of two congruent rectangles with dimensions 40 by 16 ft?

• 3200

• 1280

• 640

• 2560

If each bundle of shingles covers 33 1/3 square feet, how many bundles are needed to cover 1280 square feet?

• 37

• 38

• 39

• 40