100+ Free DC CAPE 2.0 Geometry Practice Questions

Prepare for the District of Columbia Comprehensive Assessments of Progress in Education (DC CAPE) 2.0 Mathematics — Geometry exam with instant access — no signup required.

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Key Facts: DC CAPE 2.0 Geometry Exam

Geometry

Official DC CAPE 2.0 tested grade/course (OSSE FAQ Q4)

osse.dc.gov CAPE 2.0 FAQ

Free

No student exam fee for standard school administration

OSSE Assessments policy

SY 2026–27

First DC CAPE 2.0 administration (spring 2027)

OSSE CAPE 2.0 page / FAQ

OSSE

State education agency administering DC CAPE 2.0

osse.dc.gov

Pearson

Administration platforms ADAM / TestNav; science content vendor

OSSE CAPE 2.0 FAQ Q3

CCSS Math

Content standards alignment

OSSE CAPE 2.0 FAQ Q5

4 levels

Performance levels; Level 3 = met expectations

OSSE CAPE 2.0 page

Untimed

Official tests designed as untimed with estimated session lengths

OSSE System Overview Feb 2026

DC CAPE 2.0 Geometry is DC's free OSSE CAPE 2.0 statewide mathematics summative for Geometry (first admin spring 2027); practice here is English MCQ study only.

Sample DC CAPE 2.0 Geometry Practice Questions

Try these sample questions to test your DC CAPE 2.0 Geometry exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Point P(−3, 4) is reflected across the y-axis. What are the coordinates of its image?

A.(3, −4)

B.(−4, 3)

C.(−3, −4)

D.(3, 4)

Explanation: Reflection across the y-axis maps (x, y) to (−x, y). Therefore P(−3, 4) maps to (3, 4).

2Point A(2, 5) is rotated 90° counterclockwise about the origin. What are the coordinates of A′?

A.(−2, −5)

B.(5, −2)

C.(−5, −2)

D.(−5, 2)

Explanation: A 90° counterclockwise rotation about the origin maps (x, y) to (−y, x). So (2, 5) maps to (−5, 2).

3Point A(1, 7) is translated by the vector ⟨4, −3⟩. What are the coordinates of the image of A?

A.(4, −3)

B.(5, 4)

C.(5, 10)

D.(−3, 10)

Explanation: Translation by ⟨4, −3⟩ adds 4 to x and subtracts 3 from y: (1 + 4, 7 − 3) = (5, 4).

4Which transformation always preserves both distance and orientation?

A.Reflection

B.Dilation with scale factor 2

C.Translation

D.Glide reflection

Explanation: Translations are orientation-preserving isometries. Reflections and glide reflections reverse orientation, and a dilation with scale factor 2 changes distances.

5In △ABC, AB = AC and ∠A = 50°. What is the measure of ∠B?

A.80°

B.65°

C.50°

D.130°

Explanation: △ABC is isosceles with AB = AC, so base angles ∠B and ∠C are congruent. Then 2∠B + 50° = 180°, so 2∠B = 130° and ∠B = 65°.

6Two lines intersect and form four angles. If one angle measures 73°, what is the measure of an adjacent angle?

A.107°

B.73°

C.36.5°

D.146°

Explanation: Adjacent angles formed by two intersecting lines form a linear pair and are supplementary: 180° − 73° = 107°.

7Which set of conditions is sufficient to prove two triangles congruent?

A.SSS

B.AAA

C.SSA (in general)

D.Three pairs of proportional sides with scale factor 2

Explanation: SSS (three pairs of congruent corresponding sides) is a valid triangle congruence criterion. AAA proves similarity only, SSA is not a general congruence theorem, and proportional sides with scale factor 2 give similarity, not congruence.

8Line m ∥ line n, and transversal t intersects both. An interior angle on one side of t measures 112°. What is the measure of the consecutive (same-side) interior angle?

A.22°

B.68°

C.248°

D.112°

Explanation: Consecutive (same-side) interior angles formed by a transversal with parallel lines are supplementary: 180° − 112° = 68°.

9△DEF ≅ △XYZ by SAS with correspondence D↔X, E↔Y, F↔Z. Which three parts must be the SAS triple?

A.DF ≅ XZ and ∠D ≅ ∠X only

B.All three angles of each triangle

C.DE ≅ YZ and EF ≅ XY

D.DE ≅ XY, ∠E ≅ ∠Y, EF ≅ YZ

Explanation: SAS requires two sides and the included angle. Under D↔X, E↔Y, F↔Z, the included angle at E pairs with the included angle at Y, so DE ≅ XY, ∠E ≅ ∠Y, and EF ≅ YZ.

10△PQR has sides PQ = 8, QR = 10, and PR = 12. △STU has sides ST = 8, TU = 10, and SU = 12. Which congruence criterion applies?

A.SAS

B.ASA

C.SSS

D.HL

Explanation: All three pairs of corresponding sides are congruent, so SSS applies. No angles are given for SAS or ASA, and HL requires right triangles with a congruent hypotenuse and leg.

About the DC CAPE 2.0 Geometry Exam

District of Columbia Comprehensive Assessments of Progress in Education (DC CAPE) 2.0 Mathematics — Geometry is the District of Columbia's grade/course-level DC CAPE 2.0 statewide summative assessment administered by OSSE beginning SY 2026–27 (first operational window spring 2027). ELA and mathematics content is provided through the Smarter Balanced Assessment Consortium against the Common Core State Standards (CCSS), with grades 3–8 using Smarter Balanced summative adjusted blueprints and high school courses using DC end-of-course blueprints. Students test on Pearson TestNav (ADAM management). Official forms mix selected-response, technology-enabled, and constructed-response/performance tasks. OpenExamPrep free practice is an English-language four-option MCQ study adaptation aligned to public OSSE/Smarter Balanced/NGSS frameworks—not official secure items, not a full TE/CR/PT simulation, and not a substitute for classroom instruction or the official assessment.

Assessment

Question count not published by the exam provider

Time Limit

About 2 hours 30 minutes estimated total for most students (CAT ~1 hour + performance task ~1 hour 30 minutes); tests are untimed (OSSE DC CAPE 2.0 System Overview, Feb 2026).

Passing Score

DC CAPE 2.0 reports four performance levels for ELA, math, and science; Level 3 indicates the student met grade-level (or course-level) expectations (OSSE CAPE 2.0 page). After the first 2026–27 administration, OSSE will conduct a summer 2027 standard-setting event for high school ELA and math end-of-course assessments and redesigned science assessments before cut scores are finalized for those forms (OSSE CAPE 2.0 FAQ, Dec 2025).

Exam Fee

Free for District of Columbia public and public charter school students; DC CAPE 2.0 is the required statewide summative assessment administered through LEAs at no student exam fee (OSSE Assessments Participation & Performance Policy; OSSE CAPE 2.0 materials). (District of Columbia Office of the State Superintendent of Education (OSSE); ELA and math content from the Smarter Balanced Assessment Consortium; science content and ADAM/TestNav administration platforms via Pearson)

DC CAPE 2.0 Geometry Exam Content Outline

~45–50% of items (priority + supporting clusters; ~9–11 CAT items on adjusted blueprint)

Concepts and Procedures (Claim 1)

Grade- or course-level procedural fluency and conceptual understanding of major Common Core content clusters.

~25–35% of items (~5–7 items including PT components)

Problem Solving & Modeling/Data Analysis (Claims 2 & 4)

Apply mathematics to solve problems and model real-world situations; interpret data and quantitative relationships.

~20–30% of items (~4–6 items including PT components)

Communicating Reasoning (Claim 3)

Construct, evaluate, and critique mathematical arguments and explanations.

How to Pass the DC CAPE 2.0 Geometry Exam

What You Need to Know

Passing score: DC CAPE 2.0 reports four performance levels for ELA, math, and science; Level 3 indicates the student met grade-level (or course-level) expectations (OSSE CAPE 2.0 page). After the first 2026–27 administration, OSSE will conduct a summer 2027 standard-setting event for high school ELA and math end-of-course assessments and redesigned science assessments before cut scores are finalized for those forms (OSSE CAPE 2.0 FAQ, Dec 2025).
Assessment: Question count not published by the exam provider
Time limit: About 2 hours 30 minutes estimated total for most students (CAT ~1 hour + performance task ~1 hour 30 minutes); tests are untimed (OSSE DC CAPE 2.0 System Overview, Feb 2026).
Exam fee: Free for District of Columbia public and public charter school students; DC CAPE 2.0 is the required statewide summative assessment administered through LEAs at no student exam fee (OSSE Assessments Participation & Performance Policy; OSSE CAPE 2.0 materials).

Keys to Passing

Complete 500+ practice questions
Score 80%+ consistently before scheduling
Focus on highest-weighted sections
Use our AI tutor for tough concepts

DC CAPE 2.0 Geometry Study Tips from Top Performers

1Use OSSE-linked practice/sample resources and Smarter Balanced sample items so students learn digital tools and item interactions.

2Align review to grade-level Common Core (ELA/math) or NGSS (science) expectations named in OSSE CAPE 2.0 materials—not only generic worksheets.

3Review wrong answers by claim or science domain (reading/writing/research; concepts/procedures; life/physical/Earth) to target instruction.

4Use short, frequent practice sessions across the year rather than cramming only in the spring window.

5For performance-task and constructed-response skills, practice evidence selection, planning, modeling, and revision even when using MCQ study items.

Frequently Asked Questions

What is the DC CAPE 2.0 Geometry assessment?

DC CAPE 2.0 Geometry is part of the District of Columbia Comprehensive Assessments of Progress in Education (DC CAPE) 2.0 general statewide assessment system administered by OSSE beginning in school year 2026–27 (first spring 2027 administration). It measures student progress relative to DC educational standards (Common Core State Standards).

Is DC CAPE 2.0 free for students?

Yes. DC CAPE 2.0 is the District’s required statewide summative assessment for eligible public and public charter school students and is administered through LEAs without a student exam fee.

How long is the official test?

About 2 hours 30 minutes estimated total for most students (CAT ~1 hour + performance task ~1 hour 30 minutes); tests are untimed (OSSE DC CAPE 2.0 System Overview, Feb 2026).

What item types appear on the official assessment?

Official ELA/math forms include computer-adaptive selected-response and technology-enabled items plus performance tasks (including full-write tasks in ELA). OpenExamPrep provides English four-option MCQ study adaptations only—not an official-format simulation.

How are results reported?

Are these practice questions official OSSE or Smarter Balanced items?

No. These free practice questions are original study aids aligned to DC standards and publicly described CAPE 2.0 / Smarter Balanced / NGSS frameworks. They are not secure official items and do not replace OSSE/Pearson practice resources, classroom instruction, or the official spring assessment.

Does this bank replace constructed-response or performance tasks?

No. Official DC CAPE 2.0 includes performance tasks and (for science) constructed-response items. This bank adapts the underlying knowledge and judgment into multiple-choice study items only.

100+ Free DC CAPE 2.0 Geometry Practice Questions

DC CAPE 2.0 Mathematics — Geometry

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