Quiz about 11/20/24 Warm Up Exploring Similarity and Expressions

Question 1

Given two similar triangles, $$ riangle ABC \sim riangle DEF$$ , which of the following is NOT a correct similarity statement using symbols?

Accepted Answer

$$\angle A \sim \angle D$$

Answer

$$AB \sim DE$$

Answer

$$BC \sim EF$$

Answer

$$AC \sim DF$$

Question 2

A quadrilateral $$PQRS$$ is similar to quadrilateral $$WXYZ$$ . Which of the following is a correct similarity statement?

Accepted Answer

$$PQ \sim WX$$

Accepted Answer

$$PS \sim WZ$$

Answer

$$QR \sim YZ$$

Answer

$$RS \sim XY$$

Question 3

Given a triangle with vertices at $$(1, 2)$$ , $$(3, 4)$$ , and $$(5, 6)$$ , what are the coordinates of the image after a dilation with a scale factor of 2 centered at the origin?

Accepted Answer

$$(2, 4)$$ , $$(6, 8)$$ , $$(10, 12)$$

Answer

$$(0.5, 1)$$ , $$(1.5, 2)$$ , $$(2.5, 3)$$

Answer

$$(4, 8)$$ , $$(12, 16)$$ , $$(20, 24)$$

Answer

$$(1, 2)$$ , $$(3, 4)$$ , $$(5, 6)$$

Question 4

If a polygon with vertices at $$(2, 3)$$ , $$(4, 5)$$ , and $$(6, 7)$$ is dilated by a scale factor of $$\frac{1}{2}$$ centered at the origin, what are the coordinates of the image?

Accepted Answer

$$(1, 1.5)$$ , $$(2, 2.5)$$ , $$(3, 3.5)$$

Answer

$$(4, 6)$$ , $$(8, 10)$$ , $$(12, 14)$$

Answer

$$(0.5, 0.75)$$ , $$(1, 1.25)$$ , $$(1.5, 1.75)$$

Question 5

Evaluate the expression $$3x^2 - 2x + 5$$ for $$x = -2$$ .

Accepted Answer

21

Answer

15

Answer

25

Answer

29

Question 6

Simplify the expression $$4x - 3 + 2x + 5$$ .

Accepted Answer

$$6x + 2$$

Answer

$$6x + 8$$

Answer

$$2x + 2$$

Answer

$$2x + 8$$

Question 7

Which of the following represents the expression $$2(x + 3) - 4x$$ using algebra tiles?

Accepted Answer

Two negative $$x$$ tiles and six positive unit tile

Answer

Two positive $$x$$ tiles and three positive unit tiles

Answer

Two positive $$x$$ tiles and three negative unit tiles

Answer

Two negative $$x$$ tiles and three negative unit tiles

Question 8

Simplify the expression $$5x - 2(x - 3) + 4$$ .

Accepted Answer

$$3x + 10$$

Answer

$$3x + 4$$

Answer

$$7x + 10$$

Answer

$$7x + 4$$

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