Trapezoid PQRS is the image of a trapezoid ABCD after a sequence of translations. Hint: The shapes are congruent (identical).

Tell whether each statement is True or False.

All are true except d

Step-by-step explanation:

● a

Since both shapes are congruent, the sides AB and PQ are identical. They have the same length

● b

The same goes for these sides. They are indentical.

● c

The angles B and Q are indentical so they have the same size.

● d

The angles c and p aren't identical.

● e

Since both shapes are trapezoids

AD and BC are parallel and the same goes for PS and Qr

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)