AASA Grade 8 Geometry Practice — Sports Academy Games

What the test measures

Geometry skills

Understand congruence and similarity
Understand and apply the Pythagorean Theorem
Solve problems involving angle relationships and transformations

Standards basis

Arizona 2016 Mathematics Standards — Arizona

How the AASA reports it

AASA is Arizona’s statewide achievement test for Grades 3-8, and its math item specifications are aligned to Arizona’s 2016 Mathematics Standards rather than a national framework like SBAC or SAT. The public AASA page does not show a fixed common-core-style domain blueprint; instead, the official math coverage is embedded in grade-level item specifications and scoring guides.

Blueprint & weighting

AASA uses the Independent / state-specific framework (by grade domains structure).

Official sources

Arizona Department of Education AASA
Arizona Department of Education Mathematics Standards

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

Two legs of a right triangle measure $6$ and $8$ . What is the hypotenuse?

$\sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10$ .

Practice playeasy

In $\triangle XYZ$ , $\angle X$ and $\angle Z$ are congruent. The measure of $\angle Y$ is $52.6^{\circ}$ . What is the measure of $\angle X$ ?

The two congruent angles share the remainder equally: $\dfrac{180^{\circ} - 52.6^{\circ}}{2} = 63.7^{\circ}$ .

Practice playeasy

What is the sum of the interior angles of a pentagon?

A pentagon has $5$ sides: $(5-2) \times 180 = 540°$ .

Practice playeasy

If a right triangle has a hypotenuse of $30$ yards and one leg of $18$ yards, what is the other leg?

Let the missing leg be $x$ . Then $x^{2} + 18^{2} = 30^{2}$ , so $x^{2} = 30^{2} - 18^{2} = 900 - 324 = 576$ and $x = \sqrt{576} = 24$ .

Practice playeasy

A right triangle has legs $20$ and $21$ . What is the hypotenuse?

$20^{2} + 21^{2} = 400 + 441 = 841$ , so the hypotenuse is $\sqrt{841} = 29\textsf{.}$

Practice playeasy

Jordan walks $8$ blocks east and then $15$ blocks north. How many blocks from the starting point is Jordan, measured in a straight line?

The walk forms the legs of a right triangle: $\sqrt{8^{2} + 15^{2}} = \sqrt{64 + 225} = \sqrt{289} = 17$ blocks.

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