• 42 questions

Geometry EOC Practice Test Tennessee

Geometry in the four reporting categories of Tennessee's end-of-course blueprint, probability included, with the working under every answer.

Point P(3, −2) is translated by the rule (x, y) → (x − 5, y + 4). What is the image of P?

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Exam mode: 42 questions, 120 minutes.

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Unofficial practice questions, not affiliated with the Tennessee Department of Education. Bank checked October 9, 2026.

The real test: TCAP Geometry EOC

Time limit
120 minutes
Items
46 to 56 in all. 37 to 42 are operational items, and the rest are field test items.
Subparts
Three: 35 minutes with no calculator, then 50 minutes and 35 minutes with a calculator.
Reporting categories
Congruence 27 to 35% of items; Similarity, Right Triangles, and Circles 25 to 30%; Algebraic Connections 22 to 28%; Statistics and Probability 15 to 18%.
Item kinds
Multiple choice with four options, multiple select and technology enhanced items. Each is worth one point, with no partial credit.
How it is given
Online.
Who takes it
Students enrolled in the Geometry course, in any grade.

Checked October 9, 2026 against the TCAP Assessment Blueprint for Geometry and the TCAP Mathematics End-of-Course Assessment Overview (June 2026), Tennessee Department of Education. Rules change, so confirm with the agency itself before your test.

The state's TCAP blueprints and overviews

Next step Review: Tennessee Algebra I EOCNext course: Algebra II

All 42 questions

Congruence 13

  • A transversal crosses two parallel lines. One of a pair of alternate interior angles measures (3x + 10)° and the other measures 70°. What is x? Tennessee Academic Standards for Mathematics, Geometry, standard G.CO.C.8
  • Figure F is mapped onto figure G by a reflection followed by a translation. What must be true? Tennessee Academic Standards for Mathematics, Geometry, standard G.CO.B.5
  • From each endpoint of a segment, a student draws arcs of the same radius above and below the segment, then joins the two points where the arcs cross. What has the student constructed? Tennessee Academic Standards for Mathematics, Geometry, standard G.CO.D.11
  • In an isosceles triangle, the vertex angle measures 40°. What is the measure of each base angle? Tennessee Academic Standards for Mathematics, Geometry, standard G.CO.C.9
  • In parallelogram PQRS, ∠P measures 65°. What is the measure of ∠Q? Tennessee Academic Standards for Mathematics, Geometry, standard G.CO.C.10
  • In triangle ABC, M is the midpoint of side AB and N is the midpoint of side AC. BC = 18. What is MN? Tennessee Academic Standards for Mathematics, Geometry, standard G.CO.C.9
Show all 42 questions (36 more)

Congruence, continued

  • In triangles ABC and DEF, AB = DE, ∠B ≅ ∠E and BC = EF. Which criterion proves the triangles congruent? Tennessee Academic Standards for Mathematics, Geometry, standard G.CO.B.7
  • Point P(3, −2) is translated by the rule (x, y) → (x − 5, y + 4). What is the image of P? Tennessee Academic Standards for Mathematics, Geometry, standard G.CO.A.1
  • Point Q(4, 1) is rotated 90° counterclockwise about the origin. What is the image of Q? Tennessee Academic Standards for Mathematics, Geometry, standard G.CO.A.4
  • Triangle ABC has vertex A(2, 5). The triangle is reflected across the x-axis. What are the coordinates of A′? Tennessee Academic Standards for Mathematics, Geometry, standard G.CO.A.3
  • What is the smallest rotation greater than 0° about its center that carries a regular hexagon onto itself? Tennessee Academic Standards for Mathematics, Geometry, standard G.CO.A.2
  • Which set of facts is not enough to prove that two triangles are congruent? Tennessee Academic Standards for Mathematics, Geometry, standard G.CO.B.7
  • Which transformation does not preserve distance? Tennessee Academic Standards for Mathematics, Geometry, standard G.CO.A.1

Similarity, Right Triangles, and Circles 12

  • A circle has a radius of 6. What is the area of a sector with a central angle of 60°? Tennessee Academic Standards for Mathematics, Geometry, standard G.C.A.1
  • A dilation centered at the origin with scale factor 1/2 maps point A(6, −8) to A′. What are the coordinates of A′? Tennessee Academic Standards for Mathematics, Geometry, standard G.SRT.A.1
  • A ladder 10 feet long leans against a wall. Its base is 6 feet from the wall. How high up the wall does the ladder reach? Tennessee Academic Standards for Mathematics, Geometry, standard G.SRT.C.5
  • A triangle with sides 4, 6 and 8 is dilated by a scale factor of 2.5. What is the perimeter of the image? Tennessee Academic Standards for Mathematics, Geometry, standard G.SRT.A.1
  • In a 30°-60°-90° triangle the hypotenuse is 12. How long is the side opposite the 30° angle? Tennessee Academic Standards for Mathematics, Geometry, standard G.SRT.C.5
  • In right triangle ABC the right angle is at C. AC = 5, BC = 12 and AB = 13. What is sin A? Tennessee Academic Standards for Mathematics, Geometry, standard G.SRT.C.4
  • In triangle ABC, a = 8, b = 5 and the angle between those two sides, C, measures 60°. What is c? Tennessee Academic Standards for Mathematics, Geometry, standard G.SRT.C.5
  • In triangle ABC, a line parallel to side BC crosses AB at D and AC at E. AD = 4, DB = 6 and AE = 6. What is EC? Tennessee Academic Standards for Mathematics, Geometry, standard G.SRT.B.3
  • The legs of a 45°-45°-90° triangle are each 7 units long. How long is the hypotenuse? Tennessee Academic Standards for Mathematics, Geometry, standard G.SRT.C.5
  • Sin 35° is about 0.574. Which of these is also about 0.574? Tennessee Academic Standards for Mathematics, Geometry, standard G.SRT.C.4
  • Triangle ABC is similar to triangle DEF. AB = 8, BC = 12 and DE = 10. What is EF? Tennessee Academic Standards for Mathematics, Geometry, standard G.SRT.B.3
  • Which sequence of transformations maps a figure onto a figure that is similar to it but not congruent? Tennessee Academic Standards for Mathematics, Geometry, standard G.SRT.A.2

Algebraic Connections 10

  • A circle has its center at (1, 2) and passes through the point (4, 6). What is its circumference? Tennessee Academic Standards for Mathematics, Geometry, standard G.GPE.A.1
  • A cone has radius 6 and height 8. What is its volume? Tennessee Academic Standards for Mathematics, Geometry, standard G.GMD.A.2
  • A grain silo is modeled as a cylinder with radius 3 meters and height 10 meters. About how much grain does it hold? Use 3.14 for π. Tennessee Academic Standards for Mathematics, Geometry, standard G.MG.A.1
  • A pyramid and a prism have the same base area and the same height. How do their volumes compare? Tennessee Academic Standards for Mathematics, Geometry, standard G.GMD.A.1
  • A rectangular patio measures 12 feet by 9 feet. What is its area in square yards? Tennessee Academic Standards for Mathematics, Geometry, standard G.N.Q.A.1
  • A triangle has vertices (0, 0), (8, 0) and (8, 6). What is its perimeter? Tennessee Academic Standards for Mathematics, Geometry, standard G.GPE.A.3
  • The endpoints of a segment are (−2, 3) and (6, 9). What is its midpoint? Tennessee Academic Standards for Mathematics, Geometry, standard G.GPE.A.1
  • How far apart are the points (−2, 1) and (4, 9)? Tennessee Academic Standards for Mathematics, Geometry, standard G.GPE.A.3
  • Line m has the equation y = 2x − 3. What is the slope of a line perpendicular to m? Tennessee Academic Standards for Mathematics, Geometry, standard G.GPE.A.2
  • Which line is parallel to the line through (0, 1) and (4, 7)? Tennessee Academic Standards for Mathematics, Geometry, standard G.GPE.A.2

Statistics and Probability 7

  • A number cube with faces 1 to 6 is rolled once. What is the probability of rolling an even number or a number greater than 4? Tennessee Academic Standards for Mathematics, Geometry, standard G.S.CP.B.3
  • A school has 40 ninth graders, of whom 10 walk to school, and 60 tenth graders, of whom 30 walk. A student who walks is picked at random. What is the probability that the student is a tenth grader? Tennessee Academic Standards for Mathematics, Geometry, standard G.S.CP.B.2
  • A square board has sides of 10 inches. A circle of radius 2 inches is painted in its center. A point on the board is chosen at random. What is the probability that the point is inside the circle? Tennessee Academic Standards for Mathematics, Geometry, standard G.S.CP.C.4
  • In a class, set A is the students who play a sport and set B is the students who play an instrument. Which notation names the students who do both? Tennessee Academic Standards for Mathematics, Geometry, standard G.S.CP.A.1
  • In a survey of 80 students, 50 have a pet. Of those 50, 20 also have a sibling. A student who has a pet is picked at random. What is the probability that the student has a sibling? Tennessee Academic Standards for Mathematics, Geometry, standard G.S.CP.B.2
  • Of 30 students, 18 take art, 12 take music and 5 take both. How many take neither art nor music? Tennessee Academic Standards for Mathematics, Geometry, standard G.S.CP.A.1
  • P(A) = 0.5, P(B) = 0.4 and P(A and B) = 0.2. What is P(A or B)? Tennessee Academic Standards for Mathematics, Geometry, standard G.S.CP.B.3

How this list was compiled: Outline: the TCAP Assessment Blueprint, Math, Geometry, of the Tennessee Department of Education, https://www.tn.gov/content/dam/tn/education/blueprints/Math_Blueprints_Geometry.pdf, linked from Blueprints for 2026-27, https://www.tn.gov/education/districts/lea-operations/assessment/tcap-blueprints.html, and the TCAP Mathematics End-of-Course Assessment Overview (June 2026), https://www.tn.gov/content/dam/tn/education/testing/overviews/EOC_Math_Assessment_Overview.pdf, all read 2026-10-09. Each question names the Geometry standard it practices in the Tennessee Academic Standards for Mathematics, https://www.tn.gov/content/dam/tn/stateboardofeducation/documents/standards/math/TN_Revised_Standards_K-4th_year_math_6-9-2022.pdf, read 2026-10-09. The answers are geometry and arithmetic on the numbers in the question, worked out a second time. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from a TCAP test, a released item, a state practice test or another practice test.

How it works

Unofficial practice for the TCAP Geometry end-of-course test in Tennessee, also called TNReady. The 42 questions were written for this site from the state's Geometry standards; none is a released item. This site is not affiliated with the Tennessee Department of Education.

Read the full guide

What the Tennessee Geometry EOC covers

The state's blueprint names four reporting categories, and the questions keep their shares. Congruence is the largest: transformations, triangle congruence, theorems about angles and parallelograms, and constructions. Similarity, Right Triangles, and Circles covers dilations, similar triangles, trigonometric ratios, special right triangles and sectors. Algebraic Connections covers coordinate geometry, volume and units. Statistics and Probability covers set notation, conditional probability and the Addition Rule.

Standards and working

Under each answer is the Geometry standard it practices, such as G.SRT.C.5, and the working. Every result was recomputed. The item counts and times come from the blueprint and the state's end-of-course mathematics overview.

  • Probability is on this test: 15 to 18 percent of items, from Venn diagrams to geometric probability.

Questions and answers

How many questions are on the TN Geometry EOC?

The blueprint lists 37 to 42 operational items. Field test items bring the total to 46 to 56, given in three subparts over 120 minutes. This page has 42 questions, all multiple choice.

Is this a TCAP TNReady Geometry practice test?

It is unofficial practice for that test. The state's blueprint names it the TCAP Geometry end-of-course assessment, and the state's testing pages still carry TNReady in their web addresses.

Can you use a calculator on the Geometry EOC in Tennessee?

On two of the three subparts. Subpart 1 is 35 minutes with no calculator. Subparts 2 and 3, 50 and 35 minutes, are calculator subparts.

Where is the state's own TNReady Geometry practice test?

The Tennessee Department of Education keeps practice tests and item releases in its Assessment Development LiveBinder, reached through the TCAP Portal. The box under the questions links to the state's blueprint page. The questions here are different ones.

What kinds of questions are on the Geometry EOC?

Multiple choice with four options and one right answer, multiple select, and technology enhanced items. Every item is worth one point, with no partial credit.

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