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100+ Free Tennessee Comprehensive Assessment Program (TCAP) Geometry End-of-Course Assessment Practice Questions

Prepare for the Tennessee Comprehensive Assessment Program (TCAP) High School Geometry End-of-Course Assessment exam with instant access — no signup required.

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Key Facts: Tennessee Comprehensive Assessment Program (TCAP) Geometry End-of-Course Assessment Exam

Tennessee Dept of Ed

Official test administrator for TCAP state assessment program

Tennessee Department of Education (TDOE)

Level 3 / Level 4

Performance levels denoting On Track or Mastered proficiency

TDOE Scoring Rubric

100 Practice Questions

Full-length question bank covering all high school geometry standards

OpenExamPrep Practice Bank

5 Content Strands

Covers G.CO, G.SRT, G.C, G.GPE, and G.GMD/G.MG standards

Tennessee Academic Standards

15% - 25% Final Grade

State EOC scores factor into final high school course grades

Tennessee Board of Education Policy

Free for Students

State-mandated assessment provided at no cost to TN public school students

TDOE Funding

Reference Sheet Provided

Students receive an official state formula reference sheet during testing

TDOE Assessment Guidelines

30 / 50 / 20 Ratio

Standardized difficulty split: 30% easy, 50% medium, 20% hard questions

OpenExamPrep Blueprint

Prepare for the TCAP Geometry EOC with 100 realistic practice questions covering congruence proofs, dilations, right triangle trigonometry, circle arc and secant theorems, coordinate circle equations, and volume density modeling.

Sample Tennessee Comprehensive Assessment Program (TCAP) Geometry End-of-Course Assessment Practice Questions

Try these sample questions to test your Tennessee Comprehensive Assessment Program (TCAP) Geometry End-of-Course Assessment 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 translated using the vector <-5, 2>. What are the coordinates of the image P'?
A.(-2, -2)
B.(8, -6)
C.(-2, 2)
D.(2, -6)
Explanation: To translate a point by a vector <a, b>, add component a to the x-coordinate and component b to the y-coordinate. Here, P' = (3 + (-5), -4 + 2) = (-2, -2).
2Point A(-4, 7) is reflected across the y-axis. What are the coordinates of image A'?
A.(-4, -7)
B.(4, 7)
C.(4, -7)
D.(7, -4)
Explanation: Reflecting a point (x, y) across the y-axis negates its x-coordinate while keeping its y-coordinate the same, yielding (-x, y). Therefore, A(-4, 7) reflects to A'(4, 7).
3Point B(2, -5) is rotated 180 degrees counterclockwise about the origin. What are the coordinates of B'?
A.(-5, 2)
B.(5, -2)
C.(-2, 5)
D.(2, 5)
Explanation: A 180-degree rotation counterclockwise about the origin transforms any point (x, y) into (-x, -y). Thus, point B(2, -5) rotates to B'(-2, 5).
4Triangle ABC has side lengths AB = 6, BC = 8, and AC = 10. If triangle ABC is congruent to triangle DEF, what is the length of segment EF?
A.6
B.10
C.14
D.8
Explanation: Corresponding sides of congruent triangles are equal in length (CPCTC). Based on the statement △ABC ≅ △DEF, segment EF corresponds to segment BC, so EF = BC = 8.
5In triangle PQR, PQ = PR. If the measure of angle P is 40 degrees, what is the measure of angle Q?
A.70°
B.40°
C.100°
D.140°
Explanation: Since PQ = PR, △PQR is an isosceles triangle with base angles ∠Q and ∠R. By the Isosceles Triangle Theorem, m∠Q = m∠R. The sum of angles in a triangle is 180°, so m∠Q = (180° - 40°) / 2 = 70°.
6Two parallel lines are cut by a transversal. If one angle measures 65 degrees, what is the measure of its consecutive interior angle?
A.65°
B.115°
C.125°
D.180°
Explanation: Consecutive interior angles (same-side interior angles) formed when parallel lines are cut by a transversal are supplementary (their sum is 180°). Therefore, 180° - 65° = 115°.
7Which triangle congruence postulate or theorem can be used to prove two right triangles are congruent if their hypotenuses and one pair of legs are congruent?
A.Side-Angle-Side (SAS)
B.Angle-Side-Angle (ASA)
C.Hypotenuse-Leg (HL)
D.Side-Side-Side (SSS)
Explanation: The Hypotenuse-Leg (HL) Congruence Theorem states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
8When constructing the perpendicular bisector of segment AB using a compass and straightedge, what must be true about the compass width setting?
A.It must be equal to the length of segment AB.
B.It must be less than half the length of segment AB.
C.It can be any width regardless of segment length.
D.It must be greater than half the length of segment AB.
Explanation: To construct a perpendicular bisector, arcs drawn from endpoints A and B must intersect both above and below segment AB. This requires the compass width setting to be greater than half the length of segment AB.
9Point M(3, 4) is rotated 90 degrees counterclockwise about the origin, and then translated by vector <2, -1>. What are the coordinates of the final image M''?
A.(-2, 2)
B.(-4, 3)
C.(6, 3)
D.(2, -2)
Explanation: First, a 90° counterclockwise rotation maps (x, y) to (-y, x), so M(3, 4) becomes M'(-4, 3). Next, translating by <2, -1> adds 2 to x and subtracts 1 from y: M'' = (-4 + 2, 3 - 1) = (-2, 2).
10Lines l and m are parallel. Line t is a transversal. Angle 1 and Angle 2 are alternate exterior angles. If m∠1 = (3x + 15)° and m∠2 = (5x - 25)°, what is the value of x?
A.15
B.20
C.25
D.30
Explanation: Alternate exterior angles formed by parallel lines cut by a transversal are equal in measure. Set 3x + 15 = 5x - 25, which gives 2x = 40, so x = 20.

About the Tennessee Comprehensive Assessment Program (TCAP) Geometry End-of-Course Assessment Exam

The Tennessee Comprehensive Assessment Program (TCAP) Geometry End-of-Course Assessment evaluates high school student mastery of the Tennessee Academic Standards for High School Geometry. Administered by the TDOE, the assessment tests spatial reasoning, geometric proof, right triangle trigonometry, coordinate geometry, circle theorems, and 3D measurement. Please note: This 100-question practice bank is an English-language multiple-choice question (MCQ) study adaptation created by OpenExamPrep to help high school students practice core Tennessee Academic Standards.

Assessment

100 multiple-choice practice questions (English-language MCQ study adaptation for TCAP Geometry EOC) covering Congruence, Proof, and Constructions (25%), Similarity, Right Triangles, and Trigonometry (25%), Circles (20%), Expressing Geometric Properties with Equations (15%), and Geometric Measurement and Dimension (15%).

Time Limit

Untimed state subparts (approx. 40–50 min per subpart)

Passing Score

Performance Level 3 (On Track) or Level 4 (Mastered)

Exam Fee

Free for Tennessee public school students. (Tennessee Department of Education (TDOE))

Tennessee Comprehensive Assessment Program (TCAP) Geometry End-of-Course Assessment Exam Content Outline

25%

Congruence, Proof, and Constructions

Rigid transformations (translations, reflections, rotations), triangle congruence postulates, formal geometric proofs, line and angle theorems, and compass/straightedge constructions.

25%

Similarity, Right Triangles, and Trigonometry

Dilations, scale factors, triangle similarity proofs, right triangle geometric mean, Pythagorean theorem, special right triangles, sine, cosine, tangent ratios, complementary angles, and Law of Sines/Cosines.

20%

Circles

Central and inscribed angles, arc lengths, sector areas, tangent-radius perpendicularity, secant-tangent segment length theorems, cyclic quadrilaterals, and radian conversions.

15%

Expressing Geometric Properties with Equations

Standard circle equations, completing the square, coordinate geometry proofs, parallel and perpendicular line slopes, midpoint/distance formulas, and segment partitioning.

15%

Geometric Measurement and Dimension

Volume and surface area formulas for 3D solids, 2D cross-sections, 3D solids of rotation, geometric modeling, and real-world mass/volume density calculations.

How to Pass the Tennessee Comprehensive Assessment Program (TCAP) Geometry End-of-Course Assessment Exam

What You Need to Know

  • Passing score: Performance Level 3 (On Track) or Level 4 (Mastered)
  • Assessment: 100 multiple-choice practice questions (English-language MCQ study adaptation for TCAP Geometry EOC) covering Congruence, Proof, and Constructions (25%), Similarity, Right Triangles, and Trigonometry (25%), Circles (20%), Expressing Geometric Properties with Equations (15%), and Geometric Measurement and Dimension (15%).
  • Time limit: Untimed state subparts (approx. 40–50 min per subpart)
  • Exam fee: Free for Tennessee public school students.

Keys to Passing

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

Tennessee Comprehensive Assessment Program (TCAP) Geometry End-of-Course Assessment Study Tips from Top Performers

1Memorize key trigonometric identities and complementary angle rules, such as sin(θ) = cos(90° - θ).
2Master completing the square to quickly transform general second-degree equations into standard circle form (x - h)² + (y - k)² = r².
3Always draw clear diagrams for multi-step circle theorem problems to visualize inscribed angles, secants, and tangents.
4Understand the difference between linear scale factor k, area scale factor k², and volume scale factor k³ when scaling figures.
5Practice two-column and flow-chart proof structures, ensuring every statement is supported by a valid postulate, definition, or theorem.
6Verify coordinate geometry calculations using slope properties: parallel lines have equal slopes and perpendicular lines have negative reciprocal slopes.

Frequently Asked Questions

What is the format of the TCAP Geometry End-of-Course assessment?

The official TCAP Geometry EOC is administered in multiple subparts and includes multiple-choice, select-all-that-apply, and technology-enhanced items. This practice bank adapts the standard content into a 100-question multiple-choice practice tool covering all Tennessee Academic Standards.

Are calculators permitted on the TCAP Geometry EOC test?

TCAP Geometry EOC features both calculator-prohibited and calculator-permitted subparts. Scientific or graphing calculators are permitted on designated calculator subparts.

What performance levels are used for scoring TCAP EOC exams in Tennessee?

Student performance is classified into four levels: Below Expectations (Level 1), Approaching Expectations (Level 2), On Track (Level 3), and Mastered (Level 4). Level 3 and Level 4 represent state proficiency.

How much does the TCAP Geometry EOC count toward a student's final grade?

In Tennessee public schools, state law requires EOC assessment scores to account for a percentage (typically 15% to 25%, as determined by the local school board) of the student's final grade in the course.

What reference materials are provided during the TCAP Geometry EOC?

Students are provided with an official TDOE Geometry Reference Sheet containing standard formulas for volume, surface area, trigonometry, and coordinate geometry during the exam.

Is this 100-question practice bank officially published by the Tennessee Department of Education?

No. This practice bank is an independent study adaptation created by OpenExamPrep, designed specifically to align with the Tennessee Academic Standards for High School Geometry.