NJSLA Grade 8 Geometry Practice — Sports Academy Games

What the test measures

Geometry skills

8.G.A.1 Verify experimentally the properties of rotations, reflections, and translations
8.G.A.2 Understand congruence and apply congruence criteria
8.G.A.3 Explain the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates
8.G.A.4 Understand similarity and use similarity to solve problems
8.G.B.5 Use informal arguments to establish facts about angle sum and exterior angle of triangles and about the angles created by parallel lines
8.G.B.6 Explain a proof of the Pythagorean theorem
8.G.B.7 Apply the Pythagorean theorem to determine unknown side lengths
8.G.B.8 Apply the Pythagorean theorem to find distances between points in a coordinate system
8.G.C.9 Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve problems

Standards basis

New Jersey Student Learning Standards for Mathematics (NJSLS-M), aligned to Common Core State Standards for Mathematics (CCSS-M) — New Jersey

How the NJSLA reports it

NJSLA math is built on the New Jersey Student Learning Standards for Mathematics, which closely follow the Common Core domain structure and progressions. The assessment is organized by grade-level and end-of-course reporting aligned to those standards rather than by a separate proprietary framework.

Blueprint & weighting

NJDOE publishes statewide assessment administration information and grade/course coverage, but no official public math-domain weighting blueprint was located in the retrieved primary materials.

Official sources

New Jersey Department of Education - Assessment
New Jersey Department of Education - 2023 NJSLS-Mathematics
NJDOE - Statewide Assessment Testing Schedule 2026-27

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

A rectangular prism has length $2$ , width $3$ , and height $4$ . What is its volume?

$V = 2 \times 3 \times 4 = 24$ .

Practice playeasy

What is the distance from $(0, 0)$ to $(5, 12)$ ?

$\sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13$ .

Practice playeasy

The hypotenuse of a right triangle measures $26$ meters, and one leg measures $24$ meters. What is the length of the second leg?

Let the missing leg be $x$ . Then $x^{2} + 24^{2} = 26^{2}$ , so $x^{2} = 26^{2} - 24^{2} = 676 - 576 = 100$ and $x = \sqrt{100} = 10$ .

Practice playeasy

A right triangle has legs $3$ and $4$ . What is the hypotenuse?

$3^{2} + 4^{2} = 9 + 16 = 25$ , so the hypotenuse is $\sqrt{25} = 5\textsf{.}$

Practice playeasy

A wheelchair ramp rises $5$ feet over a horizontal distance of $12$ feet. What is the length of the ramp?

The ramp is the hypotenuse of a right triangle with legs $5$ and $12$ : $\sqrt{5^{2} + 12^{2}} = \sqrt{25 + 144} = \sqrt{169} = 13$ feet.

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 $15$ : $\sqrt{8^2 + 15^2} = \sqrt{64 + 225} = \sqrt{289} = 17\text{ cm}\textsf{.}$