Geometry Concepts and Formulas

Geometry Concepts and Formulas

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial covers various geometry problems from the June 2022 Regents exam. It includes solving for the slant height of the Leaning Tower of Pisa using trigonometry, determining the measure of angle B with intercepted arcs, calculating the volume of a cone, explaining parallelogram congruence through reflection, and finding the volume of clay for hemispherical pendants. It also covers finding the center and radius of a circle, constructing parallel lines, determining angle theta using tangent inverse, proving triangle congruence, and calculating concrete bags for cylinders.

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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of the video tutorial?

Physics experiments

Algebraic equations

Geometry regions

Chemistry reactions

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is used to solve for the slant height of the Leaning Tower of Pisa?

Secant

Cosine

Tangent

Sine

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the measure of angle B in the given problem?

45 degrees

60 degrees

90 degrees

120 degrees

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the volume of a cone?

1/3 πr²h

1/2 πr²h

2/3 πr²h

πr²h

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property of rigid motions is used to prove congruence in parallelograms?

Preservation of distance and angles

Preservation of area

Preservation of volume

Preservation of mass

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the volume formula for a hemisphere?

2/3 πr³

4/3 πr³

1/2 πr³

3/4 πr³

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What technique is used to find the center and radius of a circle?

Factoring

Completing the square

Substitution

Elimination

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