Pre-Algebra Semester 1 Benchmark

The Venn Diaggram shows the relationship among several sets of numbers.

Indicated wheter each number in the table belongs in each of these sets: irrational numbers, rational numbers, and integers.

Select the correct answer in each row.

Between which two consecutive integers on the number line is

Select TWO locations on the number line to plot the points.

A student solved the equation x² = 132 to find the length of the diagonal of a square in centimeters. Which measurement is closest to x, the length of the diagonal of this square, in centimeters?

The area of a piece of land is 4,951,000 square meters. How is this number of square meters written in scientific notation?

Which list shows these numbers in order from least to greatest?

The table shows the diagonal lengths of TV screens at a store.

Which TV screen has the smallest diagonal length in feet?

The length of a rectangular frame is 15 inches, and the width of the frame is 8 inches. What is the length of a diagonal of this frame in inches?

Enter your answer in the box.

The diagram represents a ramp in the shape of a right triangle and the lengths of two of its sides in feet.

What is the length of the ramp in feet?

Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.

The coordinate grid shows XY .

Which measurement is closest to the length of XY in units?

Triangle ABC and triangle DEF are similar.

Which proportion must be true?

Triangle KLM and triangle PRS are similar right triangles.

Which proportion can be used to show that the slope of KM is equal to the slope of PS?

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′?

Polygon LMNPQR is shown on the coordinate grid and models the shape of a garden in a park. Polygon LMNPQR will be dilated with the origin as the center of dilation to create polygon L'M'N'P'Q'R'.

The vertex Q′ will be located at (21, 7).

Which rule best represents the dilation?

A triangle undergoes a single transformation. For each type of transformation, indicate which features of the trianlge remain the same.

Triangle XYZ is rotated 90° clockwise about the origin to form triangle X' Y′ Z′.

Which statement is true?

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

Which transformation applies to a triangle on a coordinate grid would preserve the congruence?

Select TWO correct answers.

Trapezoid WKRP was translated 4 units to the left and 5 units up on a coordinate grid to create trapezoid W'K'R'P'.

Which rule describes this transformation?

A figure was transformed on a coordinate grid using the rule (x, y) → (−x,−y).

Which of the following describes this transformation?

Trapezoid WKRP was translated 4 units to the left and 5 units up on a coordinate grid to create trapezoid W'K'R'P'.

Which rule describes this transformation?