In each diagram, line g is parallel to line k , and line t intersects line g and k. Based on the diagrams, which statement about x is true?

The value of x is 136, because the labeled angles in each diagram are congruent.

The value of x is 180, because the labeled angles in each diagram are supplementary and the sum of the measures of supplementary angles is 180 degrees.

The value of x is 90, because the labeled angles in each diagram are complementary and the sum of the measures of complementary angles is 90 degrees.

The value of x is 44, because the sum of the measures of the labeled angles in each diagram is 180 degrees.

Trapezoid KLMN is reflected over the x-axis to form trapezoid WXYZ . Which statement is true?

The side lengths of trapezoid KLMN are congruent to the corresponding side lengths of trapezoid WXYZ .

The area of trapezoid KLMN is greater than the area of trapezoid WXYZ.

The angle measures of trapezoid KLMN are less than the corresponding angle measures of trapezoid WXYZ .

The sum of the angle measures of trapezoid KLMN is twice the sum of the angle measures of trapezoid WXYZ .

Triangle XYZ is rotated 90° clockwise about the origin to form triangle X'Y'Z'. Which statement is true?

The area of triangle XYZ is equal to the area of triangle X'Y'Z'.

The sum of the angle measures of triangle XYZ is 90° less than the sum of the angle measures of triangle X'Y'Z'.

The angle measures of triangle XYZ are less than the corresponding angle measures of triangle X'Y'Z'.

Triangle XYZ is not congruent to triangle X'Y'Z' .

A rectangle is graphed on a coordinate grid. Which transformation will result in a rectangle that is NOT congruent to the original rectangle?

A dilation by a scale factor of 3

A rotation of 180° counterclockwise

A translation 90 units to the right

A transformation is applied to a figure to create a new figure on a coordinate grid. Which transformation does NOT preserve congruence?

A dilation by a scale factor of 1.5

A rotation of 270° counterclockwise

A figure was transformed on a coordinate grid using the rule $$\left(x,y\right)\rightarrow\left(-x,-y\right)$$ . Which of the following describes this transformation?

A 180° clockwise rotation about the origin

A 90° clockwise rotation about the origin

Four triangles are shown. One side of each triangle lies on a ray, and the triangles are not drawn to scale. Based on these triangles, which statement about x is true?

$$x=160$$ , because $$180+\left(130+30\right)=20\ $$ and $$180-20=160$$

$$x=20$$ , because $$130+30=160$$ and $$180-160=20$$

$$x=80$$ , because $$180-130=50$$ and $$50+30=80$$

$$x=340$$ ,because $$130+30=160$$ and $$160+180=340$$

Geometry 2-D Shapes Review

Authored by SIRVERA COX

Mathematics

8th Grade

TEKS covered

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25 questions

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MULTIPLE CHOICE QUESTION

2 mins • 4 pts

Quadrilateral KLMN is similar to quadrilateral TUVW. Side lengths are given in centimeters. Which proportion must be true?

Tags

TEKS.MATH.8.3A

MULTIPLE CHOICE QUESTION

2 mins • 4 pts

Triangle ABC and triangle DEF are similar. Which proportion must be true?

Tags

TEKS.MATH.8.3A

MULTIPLE CHOICE QUESTION

2 mins • 4 pts

Quadrilateral PQRS is dilated with the origin as the center of dilation to create quadrilateral P'Q'R'S'. The coordinates of each vertex are integers. Which statement is true?

Quadrilateral P'Q'R'S is congruent to quadrilateral PQRS.

Quadrilateral P'Q'R'S is similar to quadrilateral PQRS.

Tags

TEKS.MATH.8.3B

MULTIPLE CHOICE QUESTION

2 mins • 4 pts

Pentagon NQRTW was dilated with the origin as the center to create pentagon N'Q'R'T'W'. Vertex R' is located at (6,2). Which rule best describes the dilation?

Tags

TEKS.MATH.8.3C

MULTIPLE CHOICE QUESTION

2 mins • 4 pts

A rectangle is graphed on a coordinate plane. The table shows the original vertices and the new vertices after a scale factor with center of dilation at (0,0) is applied. What rule is applied to the original rectangle to create the new rectangle?

Tags

TEKS.MATH.8.3C

LABELLING QUESTION

2 mins • 4 pts

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation? Move the correct answer to each box in the table. Not all answers will be used.

Tags

TEKS.MATH.8.3C

MULTIPLE CHOICE QUESTION

2 mins • 4 pts

Tags

TEKS.MATH.8.3C

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Geometry 2-D Shapes Review

Quadrilateral KLMN is similar to quadrilateral TUVW. Side lengths are given in centimeters. Which proportion must be true?

Triangle ABC and triangle DEF are similar. Which proportion must be true?

Quadrilateral PQRS is dilated with the origin as the center of dilation to create quadrilateral P'Q'R'S'. The coordinates of each vertex are integers. Which statement is true?

Pentagon NQRTW was dilated with the origin as the center to create pentagon N'Q'R'T'W'. Vertex R' is located at (6,2). Which rule best describes the dilation?

A rectangle is graphed on a coordinate plane. The table shows the original vertices and the new vertices after a scale factor with center of dilation at (0,0) is applied. What rule is applied to the original rectangle to create the new rectangle?

The table describes two dilations with the center of dilation at the origin. Which rule describes each dilation? Move the correct answer to each box in the table. Not all answers will be used.

Triangle TRW is shown on the coordinate grid. Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation to create triangle T'R'W'. Which ordered pair best represents the location of point R' ?

In each diagram, line g is parallel to line k, and line t intersects line g and k. Based on the diagrams, which statement about x is true?

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