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Which rigid transformation would map ABC to ABF a rotation about point A?

Answer: The correct option C. The figure shows the a reflection across the line containing BA. Explanation: The rigid transforms means reflection, dilation and transformation.

Is there a rigid transformation that would map Δabc to Δdec?

Answer: Both ΔABC and ΔDEC​ are congruent, therefore there a rigid transformation that would map ΔABC to ΔDEC.

What are the rigid transformations that will map?

Reflections, translations, rotations, and combinations of these three transformations are “rigid transformations”. While the pre-image and the image under a rigid transformation will be congruent, they may not be facing in the same direction.

What are the rigid transformations that will map triangle ABC to triangle def?

Answer Expert Verified. Answer: Translate vertex A to vertex D, and then rotate △ABC around point A to align the sides and angles.

Is a reflection a rigid motion?

Rigid motions are also called isometries or congruence transformations. Translations, rotations, and reflections are rigid motions. Shape A undergoes a couple of transformations including translations and rotations.

What is the correct order to apply transformations?

Apply the transformations in this order:

  1. Start with parentheses (look for possible horizontal shift) (This could be a vertical shift if the power of x is not 1.)
  2. Deal with multiplication (stretch or compression)
  3. Deal with negation (reflection)
  4. Deal with addition/subtraction (vertical shift)

How do you describe an absolute value graph?

The general form of the absolute value function is: f(x) = a|x-h|+k. When “a” is negative, the V-shape graph opens downward and the vertex is the maximum. When “a” is positive, the V-shape graph opens upward and the vertex is a minimum.

How do you shift an absolute value graph?

Absolute Value Functions

  1. The absolute value parent function, written as f(x)=| x |, is defined as.
  2. To translate the absolute value function f(x)=| x | vertically, you can use the function.
  3. g(x)=f(x)+k.
  4. To translate the absolute value function f(x)=| x | horizontally, you can use the function.
  5. g(x)=f(x−h).

How do you solve problems with absolute value?

SOLVING EQUATIONS CONTAINING ABSOLUTE VALUE(S)

  1. Step 1: Isolate the absolute value expression.
  2. Step2: Set the quantity inside the absolute value notation equal to + and – the quantity on the other side of the equation.
  3. Step 3: Solve for the unknown in both equations.
  4. Step 4: Check your answer analytically or graphically.

How do you distribute absolute value?

Further, absolute value bars are NOT parentheses, so you can’t just willy-nilly distribute across them. The only thing left is do divide both sides by the coefficient outside. THEN you can drop the bars and make two equations. By the way: Capital Is don’t make good absolute value bars.

Do you treat absolute value signs like parentheses?

Sometimes parentheses are added to organize and group the same kinds of things. Absolute value signs make the final result of the operations between them positive. When deciding on the order of operations, treat absolute value bars like parentheses.

What is another way to define absolute value?

Also called numerical value. the magnitude of a quantity, irrespective of sign; the distance of a quantity from zero. The absolute value of a number is symbolized by two vertical lines, as |3| or |−3| is equal to 3.

What is the opposite of the absolute value of 3?

The opposite of a number (also known as the additive inverse) is the number that is the same distance from 0 on the number line. Example 1: The opposite of 3 is ________. Answer: − , since the distance from 0 to 3 on the number line is the same as the distance from 0 to −3.

What is the opposite absolute value of 8?

Note that the opposite of a positive integer is a negative integer, and the opposite of a negative integer is a positive integer. The absolute value of an integer is its distance from zero on a number line. For example, the absolute value of -8 is +8, because -8 is 8 units from zero on the number line.

Can 2 different numbers have the same absolute value?

Hence if domain is real number for each absolute value there are two different numbers one can have with same absolute value. However, if domain is Complex numbers, absolute value of a number a+bi is √a2+b2 and for each absolute value there could be infinite different numbers with same absolute value.