Geometry 3/21 .5 DAY

Sector

100

• The area of a sector depends on these two key circle measurements.

• What are the radius and central angle?

200

• The formula for the area of a sector.

• What is A=θ/360 x (Area of the Circle)

300

• If a circle has a radius of 6 cm and a central angle of 120°, the area of the sector is this in terms of π.

• What is 12π cm²?

400

•  A pizza with a 14-inch diameter is sliced into 45° sections. The area of one slice is approximately this square inches.

• What is 10.75π in²?

500

• If a sector of a circle has an area of 75π cm² and a central angle of 150°, the radius of the circle is this.

• What is 10 cm?

ARCH

100

• The arc length of a circle depends on these two key measurements.

• What are the radius and central angle?

200

• The formula for arc length

• What is Arch = θ/360 x (Circumference of a circle)

300

• A circle has a radius of 10 cm and a central angle of 90°. The arc length is this in terms of pi.

• What is 5 pi?

400

• A Ferris wheel with a 25-foot radius rotates π/3 radians. The distance a seat moves along the edge is this.

• What is 25π/3?

500

•  If an arc in a circle has a length of 18π cm and the central angle is 120°, the radius of the circle is this.

• What is 27 cm?

Formulas

100

• "This formula gives the area of a circle when you know its radius."

• What is "A = πr²?"

200

"The formula for the circumference of a circle, representing its perimeter, is given by this expression."

• What is "C = 2πr?"

300

• "To calculate the volume of a sphere, you use this formula that involves the cube of the radius."

• What is "V = (4/3)πr³?"

400

• ($800) "A cube's total surface area is six times the area of one of its square faces. Express this formula."

• What is "SA = 6s²?"

500

• "For a cylinder, adding the area of its two circular bases to the lateral surface area gives you this formula for total surface area."

• What is "SA = 2πr² + 2πrh?"

Transformations

100

• "This transformation slides a figure without changing its shape or orientation."

• What is a translation?

200

• "A reflection over the x-axis will change the sign of this coordinate while keeping the other the same."

• What is the y-coordinate?

300

• "A 90-degree clockwise rotation around the origin transforms the point (x, y) into this new coordinate."

• What is (y, -x)?

400

• "A shape that can be folded along a line so that both halves match exactly has this type of symmetry."

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• What is line symmetry (or reflectional symmetry)?

500

• "A dilation with a scale factor greater than 1 does this to a figure, while a scale factor between 0 and 1 does the opposite."

• What is enlarges and reduces the figure, respectively?

Triangles

100

• ($200) "A triangle with all three sides of equal length is called this."

• What is an equilateral triangle?

200

• "The sum of the interior angles of any triangle always equals this number of degrees."

• What is 180°?

300

• "A right triangle with side lengths that follow the equation a²+b²=c²  adheres to this famous theorem."

• What is the Pythagorean Theorem?

400

• "A triangle where two sides are of equal length, making two angles congruent, is called this."

• What is an isosceles triangle?

500

"If a triangle has sides of length 7, 24, and 25, it is classified as this specific type of triangle."

What is a right triangle?

7²+24²  = 25² it satisfies the Pythagorean Theorem