MO MAP Algebra I Geometry. Practice it free.

Applies geometric reasoning in coordinate and transformational settings and uses congruence and similarity arguments. This Algebra I reporting domain maps to 5 practice skills and 8 representative questions from the playable bank.

Algebra I5 mapped skills
What the test measures

Geometry skills

  1. Experiment with transformations in the plane

  2. Understand congruence in terms of rigid motions

  3. Prove geometric theorems and make geometric constructions

  4. Translate between geometric description and the equation of a conic section when appropriate

Standards basis

Missouri Learning Standards (Mathematics K-5 and Mathematics 6-12; revised standards approved April 19, 2016) — Missouri

How the MO MAP reports it

Missouri’s MAP math is built from the Missouri Learning Standards and the state’s item specifications, not from a separate national testing framework. The standards are closely CCSS-aligned in structure, with grade-level and course-level domains used as the native reporting/coverage structure.

Blueprint & weighting

Missouri publishes grade-level and EOC blueprints, but the accessible official pages in this pass did not expose the domain-by-domain percentage tables. The assessment page states that item specifications organize expectations by domains/strands and that blueprints are available for grade-level and EOC assessments.

Practice by skill

Topics mapped to this domain

Circle diameter endpoints to radius (SAT)

Grade 1010 questions

Circle equation translations (ACT/SAT/PSAT 8/9/10)

Grade 1010 questions

Conic sections

Grade 1120 questions

Equation of a circle

Grade 1020 questions

Algebra and polygon angle measures (ACT)

Grade 910 questions
Try it now

8 free questions · 0/0 correct

Practice playeasy

A circle in the coordinate plane has a diameter with endpoints (8,0)(8, 0) and (8,6).(8, 6)\textsf{.} What is the radius of the circle?

The endpoints share the same xx-coordinate, so the diameter is vertical with length ∣6−0∣=6.|6 - 0| = 6\textsf{.} The radius is half the diameter, so r=62=3.r = \dfrac{6}{2} = 3\textsf{.}

Practice playmedium

The equation x2+(y+2)2=16x^2 + (y + 2)^2 = 16 represents Circle A. Circle B is obtained by shifting Circle A down 55 units in the coordinate plane. Which of the following equations represents Circle B?

Circle A has center (0,−2)(0, -2) and radius 44. Shifting down 55 moves the center to (0,−7)(0, -7), so Circle B is x2+(y+7)2=16x^2 + (y + 7)^2 = 16.

Practice playeasy

The ellipse x225+y29=1\dfrac{x^{2}}{25} + \dfrac{y^{2}}{9} = 1 crosses the positive x-axis at one point. What is the x-coordinate of that point?

Set y=0y = 0: then x2=25x^{2} = 25, and the positive solution is x=5x = 5.

Practice playeasy

A circle in the coordinate plane has equation (x−1)2+(y−4)2=81.(x - 1)^{2} + (y - 4)^{2} = 81\textsf{.} What is the value of r2?r^{2}\textsf{?}

In standard form the right side equals r2,r^{2}\textsf{,} so r2=81.r^{2} = 81\textsf{.}

Practice playeasy

In △ABC\triangle ABC, m∠A=(x+8)°m\angle A=(x+8)°, m∠B=(2x+17)°m\angle B=(2x+17)°, and m∠C=(x+55)°m\angle C=(x+55)°. What is the value of xx?

The three interior angles sum to 180°180°: (x+8)+(2x+17)+(x+55)=180(x+8)+(2x+17)+(x+55)=180, so 4x+80=1804x+80=180 and x=25x=25.

Practice playeasy

A circle in the coordinate plane has a diameter with endpoints (−6,1)(-6, 1) and (12,1).(12, 1)\textsf{.} What is the radius of the circle?

The endpoints share the same yy-coordinate, so the diameter is horizontal with length ∣12−(−6)∣=18.|12 - (-6)| = 18\textsf{.} The radius is half the diameter, so r=182=9.r = \dfrac{18}{2} = 9\textsf{.}

Practice playeasy

The equation (x−2)2+(y+1)2=16(x - 2)^2 + (y + 1)^2 = 16 represents Circle A. Circle B is obtained by shifting Circle A down 33 units in the coordinate plane. Which of the following equations represents Circle B?

Circle A has center (2,−1)(2, -1) and radius 44. Shifting down 33 moves the center to (2,−4)(2, -4), so Circle B is (x−2)2+(y+4)2=16(x - 2)^2 + (y + 4)^2 = 16.

Practice playeasy

The hyperbola y225−x24=1\dfrac{y^{2}}{25} - \dfrac{x^{2}}{4} = 1 opens up and down. What is the y-coordinate of the vertex on the positive y-axis?

Set x=0x = 0: then y2=25y^{2} = 25, so the vertices are (0,±5)(0, \pm 5) and the positive y-coordinate is 55.

Keep practicing

Turn geometry into game time.

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

Batting Cage game coverBatting CagePlay →Blossom Leap game coverBlossom LeapPlay →Buzzer Beater game coverBuzzer BeaterPlay →Minecart Junction game coverMinecart JunctionPlay →
Related Common Core standards
HSG.GPE.A.1HSG.GPE.A.3
Geometry in other MO MAP grades
Grade 5Grade 6Grade 7Grade 8Algebra II
The same skills on other tests
ATLAS
Source and test overview
All MO MAP prepOfficial test source
Reporting categories

More Algebra I domains

Number and QuantityExtends the real number system and uses quantities and units in algebraic modeling.8 QsPractice →AlgebraCreates and solves equations and inequalities, works with polynomials, and reasons about structure in expressions.8 QsPractice →FunctionsInterprets, builds, and analyzes functions, especially linear, quadratic, and exponential models.8 QsPractice →Statistics and ProbabilitySummarizes, interprets, and uses data to make inferences and evaluate models.8 QsPractice →