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East Baton Rouge Assessment CCSS Math High School ID: 204679

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LA_EastBatonRouge CCSS Geometry Practice Test

Directions: Read the question. Fill in the bubble next to the corresponding question number on your answer sheet.

Sample Question Sample Answer Sheet

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1.

Grade: High School >> Congruence >> Congruence >> MA.912.HSGCO.B.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.

A

B

C

D

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LA_EastBatonRouge CCSS Geometry Practice Test | ID: 204679Generated: 4/2015

2.

Grade: High School >> Congruence >> Congruence >> MA.912.HSGCO.B.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

In this figure, a sequence of rigid motions maps triangle JKL onto triangle XYZ.

Which statement explains why the two triangles must be congruent?

A A rigid motion maps angles to congruent angles.

B A rigid motion maps line segments to congruent line segments.

C A rigid motion maps angles to angles with proportional measures.

D A rigid motion maps line segments to line segments with proportional lengths.



3.

Grade: High School >> Congruence >> Congruence >> MA.912.HSGCO.C.9 Prove theorems about lines and angles.

A

B

C

D



4.

Grade: High School >> Congruence >> Congruence >> MA.912.HSGCO.C.10 Prove theorems about triangles.

A

B

C

D



5.

Grade: High School >> Congruence >> Congruence >> MA.912.HSGCO.C.10 Prove theorems about triangles.

A

B

C

D



6.

Grade: High School >> Congruence >> Congruence >> MA.912.HSGCO.A.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

Point P is located on circle O as shown in this figure.

Point Q is also located on circle O. Which statement must be true?

A PQ = OQ

B PO ≥ OQ

C PO + OQ = PQ

D PO + OQ ≥ PQ



7.

Grade: High School >> Congruence >> Congruence >> MA.912.HSGCO.A.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.

Look at this regular polygon.

When the regular polygon is rotated counterclockwise about its center point, C, which angle of rotation carries the regular polygon onto itself?

A 60°

B 72°

C 90°

D 180°



8.

Grade: High School >> Congruence >> Congruence >> MA.912.HSGCO.A.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.

Trapezoids ABCD and A'B'C'D' are shown on this coordinate plane.

Which sequence of transformations can be used to map trapezoid ABCD onto trapezoid A'B'C'D'?

A reflection across the xaxis and translation one unit right and one unit down

B reflection across the xaxis and translation one unit left and one unit up

C rotation of 180° around the origin and translation one unit right and one unit down

D rotation of 90° around the origin and translation one unit left and one unit up



9.

Grade: High School >> Circles >> Circles >> MA.912.HSGC.A.2 Identify and describe relationships among inscribed angles, radii, and chords.

This circle has a center at point X. Points D, E, and F are on the circle.

What is ?

A 51°

B 102°

C 204°

D 258°



10.

Grade: High School >> Expressing Geometric Properties with Equations >> Expressing Geometric Properties with Equations >> MA.912.HSGGPE.B.7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.

Rectangle JKLM is shown on a coordinate plane.

What is the area, in square units, of the rectangle?

A 47

B 75

C 115

D 119



11.

Grade: High School >> Geometric Measurement and Dimension >> Geometric Measurement and Dimension >> MA.912.HSGGMD.A.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

Look at this figure.

What is the approximate volume of the shaded portion of the cone, in cubic meters?

A

B

C

D



12.

Grade: High School >> Geometric Measurement and Dimension >> Geometric Measurement and Dimension >> MA.912.HSGGMD.A.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

A

B

C

D



13.

Grade: High School >> Geometric Measurement and Dimension >> Geometric Measurement and Dimension >> MA.912.HSGGMD.B.4 Identify the shapes of twodimensional crosssections of threedimensional objects, and identify threedimensional objects generated by rotations of twodimensional objects.

Triangle OPQ is revolved 360 degrees about the yaxis to generate a threedimensional figure.

Which best describes the shape of the figure?

A a rectangular solid from which a pyramid is removed

B a rectangular solid from which a cone is removed

C a cylinder from which a pyramid is removed

D a cylinder from which a cone is removed



14.

Grade: High School >> Modeling with Geometry >> Modeling with Geometry >> MA.912.HSGMG.A.2 Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).

A large crowd of people has gathered in a roughly circular area at an outdoor rally. A helicopter hovers 400 feet above the center of the crowd. The distance from the helicopter to the edge of the crowd is 500 feet.

One method of estimating the number of people in a crowd is to use a population density of 1 person for every 4.5 square feet. Based on the information, which is the best estimate of the number of people at the rally?

A 7,000

B 63,000

C 140,000

D 1,300,000



15.

Grade: High School >> Similarity, Right Triangles, and Trigonometry >> Similarity, Right Triangles, and Trigonometry >> MA.912.HSGSRT.A.1.a A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.

A

B

C

D



16.

Grade: High School >> Similarity, Right Triangles, and Trigonometry >> Similarity, Right Triangles, and Trigonometry >> MA.912.HSGSRT.A.1.b The dilation of a line segment is longer or shorter in the ratio given by the scale factor.

A

B

C

D



17.

Grade: High School >> Similarity, Right Triangles, and Trigonometry >> Similarity, Right Triangles, and Trigonometry >> MA.912.HSGSRT.A.2 Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

A

B

C

D



18.

Grade: High School >> Congruence >> Congruence >> MA.912.HSGCO.A.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.

A

B

C

D



19.

Grade: High School >> Geometric Measurement and Dimension >> Geometric Measurement and Dimension >> MA.912.HSGGMD.B.4 Identify the shapes of twodimensional crosssections of threedimensional objects, and identify threedimensional objects generated by rotations of twodimensional objects.

A

B

C

D



20.

Grade: High School >> Circles >> Circles >> MA.912.HSGC.A.2 Identify and describe relationships among inscribed angles, radii, and chords.

A

B

C

D



21.

Grade: High School >> Circles >> Circles >> MA.912.HSGC.B.5 Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.

A

B

C

D



22.

Grade: High School >> Circles >> Circles >> MA.912.HSGC.A.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

Quadrilateral JKLM is inscribed in a circle.

Which statements demonstrate that angles J and L are supplementary?

A

B

C

D



23.

Grade: High School >> Expressing Geometric Properties with Equations >> Expressing Geometric Properties with Equations >> MA.912.HSGGPE.A.1 Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.

A

B

C

D

24.

Grade: High School >> Expressing Geometric Properties with Equations >> Expressing Geometric Properties with Equations >> MA.912.HSGGPE.B.5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

A

B

C

D



25.

Grade: High School >> Expressing Geometric Properties with Equations >> Expressing Geometric Properties with Equations >> MA.912.HSGGPE.B.4 Use coordinates to prove simple geometric theorems algebraically.

A

B

C

D



26.

A

B

C



Grade: High School >> Expressing Geometric Properties with Equations >> Expressing Geometric Properties with Equations >> MA.912.HSGGPE.A.1 Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.

D



27.

Grade: High School >> Expressing Geometric Properties with Equations >> Expressing Geometric Properties with Equations >> MA.912.HSGGPE.B.6 Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

A

B

C

D

28.


A

B

C

D



29.


A

B

C

D



30.

A

B



Grade: High School >> Congruence >> Congruence >> MA.912.HSGCO.C.11 Prove theorems about parallelograms.

C

D

31.

Grade: High School >> Similarity, Right Triangles, and Trigonometry >> Similarity, Right Triangles, and Trigonometry >> MA.912.HSGSRT.C.7 Explain and use the relationship between the sine and cosine of complementary angles.

A

B

C

D



32.

Grade: High School >> Similarity, Right Triangles, and Trigonometry >> Similarity, Right Triangles, and Trigonometry >> MA.912.HSGSRT.C.7 Explain and use the relationship between the sine and cosine of complementary angles.

A

B

C

D



33.

Grade: High School >> Similarity, Right Triangles, and Trigonometry >> Similarity, Right Triangles, and Trigonometry >> MA.912.HSGSRT.C.8 Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

A 23

B 25

C 65

D 67



34.


Jordan is building a fence around his backyard. This diagram shows the dimensions of the yard.

How many total feet of fencing material will Jordan need to completely enclose his yard? Round your answer to the nearest foot.

A 198

B 206

C 214

D 319



35.


A

B

C

D



36.

Grade: High School >> Similarity, Right Triangles, and Trigonometry >> Similarity, Right Triangles, and Trigonometry >> MA.912.HSGSRT.C.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

A

B

C

D



37.

Grade: High School >> Similarity, Right Triangles, and Trigonometry >> Similarity, Right Triangles, and Trigonometry >> MA.912.HSGSRT.B.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

A

B

C

D



38.

Grade: High School >> Similarity, Right Triangles, and Trigonometry >> Similarity, Right Triangles, and Trigonometry >> MA.912.HSGSRT.B.5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

A

B

C

D



39.

Grade: High School >> Similarity, Right Triangles, and Trigonometry >> Similarity, Right Triangles, and Trigonometry >> MA.9SRT.C.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

A

B

C

D



40.

Grade: High School >> Similarity, Right Triangles, and Trigonometry >> Similarity, Right Triangles, and Trigonometry >> MA.912.HSGSRT.C.6 Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

A

B

C

D



41.

Grade: High School >> Similarity, Right Triangles, and Trigonometry >> Similarity, Right Triangles, and Trigonometry

A

B

C

D



>> MA.912.HSGSRT.A.2 Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

42.

Grade: High School >> Similarity, Right Triangles, and Trigonometry >> Similarity, Right Triangles, and Trigonometry >> MA.912.HSGSRT.A.2 Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

A

B

C

D



43.

Grade: High School >> Similarity, Right Triangles, and Trigonometry >> Similarity, Right Triangles, and Trigonometry >> MA.912.HSGSRT.A.3 Use the properties of similarity transformations to establish the AA criterion for two triangles to be similar.

A

B

C

D



44.

Grade: High School >> Similarity, Right Triangles, and Trigonometry >> Similarity, Right Triangles, and Trigonometry >> MA.912.HSGSRT.A.1.b The dilation of a line segment is longer or shorter in the ratio given by the scale factor.

A

B

C

D



For Questions 45 47:



45.

Grade: High School >> Similarity, Right Triangles, and Trigonometry >> Similarity, Right Triangles, and Trigonometry >> MA.912.HSGSRT.B.4 Prove theorems about triangles.

A

B

C

D

46.


A

B

C

D



47.


A

B

C

D



The following question is not about a passage.

48.

Grade: High School >> Modeling with Geometry >> Modeling with Geometry >> MA.912.HSGMG.A.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).

Part A:

Part B:



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