ISASP Grades 6-8 Geometry. Practice it free.

Students analyze geometric shapes, relationships, and measurement properties. This Grades 6-8 reporting domain maps to 11 practice skills and 8 representative questions from the playable bank.

Grades 6-811 mapped skills

What the test measures

Geometry skills

Solve real-world and mathematical problems involving area, surface area, and volume
Draw, construct, and describe geometrical figures and describe the relationships between them
Understand congruence and similarity using physical models, transparencies, or geometry software
Understand and apply the Pythagorean Theorem

Standards basis

Iowa Academic Standards / Iowa Core Mathematics — Iowa

How the ISASP reports it

ISASP is Iowa’s statewide assessment program administered by the state Department of Education and aligned to Iowa Academic Standards / Iowa Core rather than a multi-state blueprint like SBAC or ACT. The public materials accessible here establish the tested grades and that mathematics results are reported statewide, but I could not locate an official public math blueprint PDF on the Iowa DOE site in the available sources.

Blueprint & weighting

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

Official sources

Iowa Department of Education — Required Student Assessments
Iowa Department of Education — About the Iowa Department of Education
Iowa Academic Standards for Mathematics (April 2024) — full standards PDF, confirms K-8 domains/clusters and HS conceptual-category clusters are CCSS-M verbatim

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

Find the area of a trapezoid with bases $b_1 = 5$ and $b_2 = 6$ and height $h = 4$ .

Trapezoid area $= \dfrac{1}{2}(b_1 + b_2) \cdot h = \dfrac{1}{2}(5 + 6) \cdot 4 = \dfrac{1}{2}(11) \cdot 4 = 22$ .

Practice playeasy

What is the distance from $(1, 2)$ to $(4, 6)$ ?

$\Delta x = 3$ , $\Delta y = 4$ . $\sqrt{3^2 + 4^2} = \sqrt{9 + 16} = \sqrt{25} = 5$ .

Practice playeasy

Similar triangles $GHI$ and $JKL$ have perimeters $16$ and $48\textsf{.}$ Side $GH$ corresponds to side $JK\textsf{,}$ and $GH = 5\textsf{.}$ What is the length of $JK\textsf{?}$

The scale factor from $\triangle GHI$ to $\triangle JKL$ is $\dfrac{48}{16} = 3\textsf{.}$ Corresponding sides scale by $3\textsf{,}$ so $JK = 5 \cdot 3 = 15\textsf{.}$

Practice playeasy

In $\triangle PQR$ , $\angle P$ and $\angle Q$ are congruent. The measure of $\angle R$ is $118.6^{\circ}$ . What is the measure of $\angle Q$ ?

Let each congruent angle measure $x^{\circ}$ . Then $2x + 118.6 = 180$ , so $x = \dfrac{180 - 118.6}{2} = 30.7^{\circ}$ .

Practice playeasy

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

A octagon has $8$ sides: $(8-2) \times 180 = 1080°$ .

Practice playmedium

The shorter leg of a right triangle is $11$ centimeters and the longer leg is $60$ centimeters. What is the length of the hypotenuse?

The legs are $11$ and $60$ . By the Pythagorean theorem, $11^{2} + 60^{2} = 121 + 3{,}600 = 3{,}721$ , so the hypotenuse is $\sqrt{3{,}721} = 61$ .

Practice playeasy

The hypotenuse of a right triangle is $25$ , and one leg is $7$ . Find the other leg.

$25^{2} - 7^{2} = 625 - 49 = 576$ , so the other leg is $\sqrt{576} = 24\textsf{.}$

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.

Keep practicing

Turn geometry into game time.

The ISASP placement starts with this test's real coverage map and finds the right difficulty.

Blaster GatePlay →

Blitz TanksPlay →

Blossom LeapPlay →

Bullseye BlitzPlay →

Related Common Core standards

6.G.A.1 8.G.B.8 8.G.A.5 8.G.B.7

Geometry in other ISASP grades

High School

The same skills on other tests

AK STAR CMAS DC CAPE Georgia Milestones

Source and test overview

All ISASP prep Official test source

Reporting categories

More Grades 6-8 domains

Ratios and Proportional RelationshipsStudents use ratio reasoning to solve problems and make connections to proportionality.8 QsPractice →The Number SystemStudents apply number-system concepts, including fractions, decimals, integers, rational numbers, and exponents.8 QsPractice →Expressions and EquationsStudents work with algebraic expressions, equations, and inequalities.8 QsPractice →Statistics and ProbabilityStudents investigate data distributions and elementary probability.8 QsPractice →

Geometry skills

Solve real-world and mathematical problems involving area, surface area, and volume

Draw, construct, and describe geometrical figures and describe the relationships between them

Understand congruence and similarity using physical models, transparencies, or geometry software

Understand and apply the Pythagorean Theorem

Topics mapped to this domain

Area formulas (triangle, parallelogram, trapezoid)

Distance formula

Effect of scale factor on similar figures

Isosceles triangle angles

Polygon angle formulas

Finding a missing side with the Pythagorean theorem

Pythagorean theorem

Pythagorean theorem in context (SAT/ACT)

Rectangle diagonal from area (ACT)

Triangle angle sum

Triangle inequality

8 free questions · 0/0 correct

Turn geometry into game time.

More Grades 6-8 domains