Forward Grade 8 Geometry. Practice it free.

Understands congruence and similarity using physical models, transparencies, or geometry software and applies the Pythagorean Theorem. This Grade 8 reporting domain maps to 6 practice skills and 8 representative questions from the playable bank.

Grade 86 mapped skills

What the test measures

Geometry skills

Verify experimentally the properties of rotations, reflections, and translations
Understand congruence and similarity using models or geometry software
Use the Pythagorean Theorem to determine unknown side lengths in right triangles
Solve problems involving volume of cylinders, cones, and spheres
Apply the Pythagorean Theorem and distance formula to find distances on the coordinate plane

Standards basis

Wisconsin Standards for Mathematics — Wisconsin

How the Forward reports it

Wisconsin’s Forward Exam is a state assessment designed to measure students against the recently updated Wisconsin Academic Standards, rather than a separate national framework. The official Forward Exam page confirms the math assessment is administered in grades 3-8 and is aligned to the Wisconsin Academic Standards, but it does not publish a math-specific blueprint on the page itself.

Blueprint & weighting

Not published in the official Forward Exam page content available here. The page confirms alignment to Wisconsin Academic Standards and administration in grades 3-8, but no math blueprint percentages or reporting-category weights are provided on the page content retrieved.

Official sources

Wisconsin DPI Forward Exam
Wisconsin DPI Mathematics in Wisconsin

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

A cylinder has $r^2 = 9$ and height $3$ . Using $\pi = 3$ , what is its volume?

$V = \pi r^2 h = 3 \times 9 \times 3 = 81$ .

Practice playeasy

What is the distance from $(2, 3)$ to $(9, 3)$ ?

Both points have $y = 3$ , so the distance is $|9 - 2| = 7$ .

Practice playeasy

Find the hypotenuse of a right triangle whose legs are $21$ m and $28$ m.

The legs are $21$ and $28$ . By the Pythagorean theorem, $21^{2} + 28^{2} = 441 + 784 = 1{,}225$ , so the hypotenuse is $\sqrt{1{,}225} = 35$ .

Practice playeasy

A right triangle has one leg $5$ and hypotenuse $13$ . What is the other leg?

$13^{2} - 5^{2} = 169 - 25 = 144$ , so the other leg is $\sqrt{144} = 12\textsf{.}$

Practice playeasy

A $26$ -meter guy wire runs from the top of a pole to a stake $24$ meters from the pole's base. How tall is the pole?

The wire is the hypotenuse: $26^{2} - 24^{2} = 676 - 576 = 100$ , so the pole is $\sqrt{100} = 10$ meters tall.

Practice playhard

A rectangle has length $8$ centimeters and area $120$ square centimeters. What is the length of a diagonal of the rectangle, in centimeters?

Area $A = \ell w$ , so $120 = 8w$ and $w = 15$ . The diagonal is the hypotenuse of a right triangle with legs $8$ and $15$ : $\sqrt{8^2 + 15^2} = \sqrt{64 + 225} = \sqrt{289} = 17\text{ cm}\textsf{.}$