ACAP 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 9 practice skills and 8 representative questions from the playable bank.

Grade 89 mapped skills

What the test measures

Geometry skills

Understand congruence and similarity using physical models, transparencies, or geometry software
Understand and apply the Pythagorean Theorem
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres

Standards basis

Alabama Course of Study: Mathematics — Alabama

How the ACAP reports it

Alabama’s ACAP Summative is a state assessment tied to Alabama’s own K-12 mathematics standards and reporting structure rather than a national consortium blueprint. The publicly accessible assessment page does not expose a separate ACAP math blueprint in the fetched content, so the safest official coverage basis is Alabama’s mathematics standards organization into grade-level domains.

Blueprint & weighting

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

Official sources

Alabama Department of Education - Assessment
Alabama Office of Mathematics Improvement

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

A cylinder has radius $2$ and height $4$ . Using $\pi = 3$ , what is its volume?

$V = \pi r^2 h = 3 \times 4 \times 4 = 48$ .

Practice playeasy

What is the length of the vertical segment from $(5, -3)$ to $(5, 9)$ ?

Both points have $x = 5$ , so the length is $|9 - (-3)| = 12$ .

Practice playmedium

In $\triangle LMN$ , $\angle L$ and $\angle N$ are congruent. Each of these angles measures $38.2^{\circ}$ . What is the measure of $\angle M$ ?

Together the congruent angles measure $2 \times 38.2^{\circ} = 76.4^{\circ}$ , so $\angle M = 180^{\circ} - 76.4^{\circ} = 103.6^{\circ}$ .

Practice playeasy

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

The interior angle sum of a quadrilateral is $360°$ .

Practice playeasy

A right triangle has leg lengths $16$ ft and $30$ ft. Find the length of the hypotenuse.

The legs are $16$ and $30$ . By the Pythagorean theorem, $16^{2} + 30^{2} = 256 + 900 = 1{,}156$ , so the hypotenuse is $\sqrt{1{,}156} = 34$ .

Practice playeasy

In a right triangle, the legs have lengths $9$ and $12$ . What is the length of the hypotenuse?

$9^{2} + 12^{2} = 81 + 144 = 225$ , so the hypotenuse is $\sqrt{225} = 15\textsf{.}$

Practice playeasy

A kite string is $25$ meters long and is staked $7$ meters from a point on the ground directly below the kite. How high is the kite?

The string is the hypotenuse: $25^{2} - 7^{2} = 625 - 49 = 576$ , so the height is $\sqrt{576} = 24$ meters.

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