Symmetry and Geometry
A slanted line of symmetry.
What is an oblique line of symmetry.
5x - 2 = 7x
x = -1
𝜋
4
When two triangles have corresponding angles and sides.
Similar triangles
An object that has no symmetry.
Asymmetrical
0.5(x - 3) = x + 8
x = -19
A circle has a diameter of 22 cm, what is its area?
121𝜋 cm2
What type of polynomial is x3 - x + 2?
A trinomial
An equilateral triangle has a side-length of 22.1 cm. What is the perimeter?
66.3 cm
If the circumference of a circle is 24𝜋 cm, then what is the radius?
12 cm
Solve:
2x + 3 = 2x - 5
No solution
A line that intersects with a circle at exactly one point, forming a right angle with the circle's radius.
What is a tangent line?
-5x2 - xy + 12x2 - (xy - 5) =
7x2 -2xy + 5
What is 24 when written as a product of prime numbers?
23 x 3
How many lines of symmetry does a regular heptagon have?
7 lines of symmetry
4 less than twice a number is equal to one more than triple that number. What is the number?
x = -5
How can you know if two inscribed angles are congruent?
If they are subtended by the same arc.
A rectangle has an area of (12xy2 + 27y) cm2 and a length of 3y cm. What is the width?
(4xy + 9) cm
What is the sum of the numbers √25, -√36, and ∛27?
2
A cube with a side-length of 10 cm and an open top will have a surface area of...
500 cm2
An unknown number is squared and then decreased by 10. The result is equal to 6. What is the number?
x = -4 or x = 4
A line segment that divides a chord into two equal halves and forms a right angle at the point of intersection.
What is a perpendicular bisector?
A rectangular prism has a length of (x - 1) cm, a width of (x - 2) cm, and a height of 5x cm. What is the volume of the solid?
(5x3 - 15x2 + 10x) cm3
How many rational numbers are there between 0.888... and 8/9?
0; they are the same numbers!