Transformations
What type of transformation slides a figure without rotating or flipping it?
Translation
What does it mean for two figures to be congruent?
They have the same size and shape.
What are the three primary trigonometric ratios?
Sine, cosine, and tangent.
What is the name of a 3D figure with two parallel, congruent bases connected by rectangular faces?
A prism
What is the distance from the center of a circle to any point on the circle called?
Radius
What is the name of a transformation that flips a figure over a line?
Reflection
What does it mean for two figures to be similar?
They have the same shape but not necessarily the same size.
In a right triangle, what sides does sine compare?
Opposite side over hypotenuse.
What is the formula for the volume of a rectangular prism?
Volume = length × width × height OR V=Bh
What is a chord?
A segment with both endpoints on the circle.
What does a rotation transformation do to a figure?
Turns the figure around a fixed point by a certain angle.
Name three criterion for triangle congruence.
SSS (Side-Side-Side), SAS (Side-Angle-Side), and ASA (Angle-Side-Angle)
In right triangles, trig can only be used with what kind of angles?
Acute angles
What is the name of a solid with a circular base and a single vertex?
A cone
What is the name of a line that touches the circle at exactly one point?
Tangent
What is the difference between a dilation and other transformations like translation or rotation?
A dilation changes the size of the figure but not its shape.
What is the ratio of corresponding sides called in similar figures?
Scale factor
In a 30-60-90 Triangle, if the hypotenuse is 4 inches, what are the measurements of the legs?
The long leg measures 2* Sqrt(3) and the short leg measures 2
What is the formula for the surface area of a cylinder?
Surface area = 2πr² + 2πrh.
What is the formula for the circumference of a circle?
Circumference = 2πr
What properties are preserved under all rigid transformations (translations, rotations, reflections)?
Distance, angle measures, and shape (congruence).
How can you prove two triangles are similar using angles?
If two pairs of corresponding angles are congruent (AA similarity)
How do you find the angle measure if you know the lengths of two sides in a right triangle?
Use the inverse trigonometric functions (sin⁻¹, cos⁻¹, tan⁻¹).
How do you find the volume of a pyramid?
Volume = (1/3) × base area × height.
What is the measure of an inscribed angle in a circle compared to its intercepted arc?
The inscribed angle is half the measure of its intercepted arc.