Review—Semester Test (2)Geometry

Review of 1 st Semester

Midsegments

Triangle Inequality Theorem

Classifying Quadrilaterals

2 nd Semester VOCABULARY

Prism Center of RotationPyramid Reflections over y = x or y = -xCylinder Reflections over y = linesCone Reflections over x = linesSuface AreaVolumeSlant HeightFacesEdgesVerticesSimilarDilationEnlargementReductionScale FactorAA SimilaritySAS SimilaritySSS SimilarityRadiusDiameterChordTangentSecantMajor ArcMinor ArcSemicircleIntercepted ArcInscribed AngleInscribed QuadrilateralSectorPythagorean TheoremRight Triangle SimilarityTrigonometric RatiosSineCosineTangentOpposite SideAdjacent SideHypotenuseInverseSOH-CAH-TOATransformationsTranslationsReflectionsRotationsCoordinate NotationClockwiseCounterclockwise

SIMILARITY1. Match the following scale factors with type of change it will have on an image.

______r = .78

A. Enlargement ______r = 89

B. Reduction ______r = 125

C. Stays the Same ______r = 1212

______r = 5______r = 0

2. A scaled copy of a poster has a width of 30. If the ratio of width to length is 23 , what is the length of the scaled copy?

a) 20 b) 45 c) 5 d) 60

3. Two rectangles are scaled copies of each other. The ratio of the length of one rectangle to the length of the other is 35 . If the width of the smaller rectangle is 6, what is the width of the larger rectangle?

a) 15 b) 5 c) 12 d) 10

4. If one triangle has side lengths of 9, 12, and 6, and another triangle has side lengths of 2, 3, and 4, are they scaled copies of each other? Explain why or why not.

5. If one triangle has angle measures of 79o and 81o and another triangle has angle measures of 81o and 20o, are they scaled copies of each other? Explain why or why not.

6. A photograph is 7 in. long and 4.5 in. wide. A yearbook editor has the photo reduced to fit a space 1.8 in. wide. How long is the reduced photograph?

a) 31.5 in. b) 17.5 in c) 3.6 in. d) 2.8 in.

7. A locomotive is 58 ft. long and 11 ft. wide. A special effects designer makes a model that is 20 in. long. How wide should it be?

a) 107.3 in. b) 3.8 in. c) 5.5 in. d) 10 in.

8. A map of Yosemite National Park is drawn to a scale of 1 in. = 1.65 miles. On the map, Tioga Pass is 13.8 in. from Yosemite Falls. What is the actual distance?

a) 8.4 mi b) 22.8 mi c) 21.45 mi d) 27.6 mi

9. a) Find the scale factor from figure X to Y.

b) Find the scale factor from figure Y to X.

10. Solve each proportion below.

11. 12.

AREAS…SURFACE AREA…VOLUME

Write out the area formula for each of the following shapes. Then fill in some numbers for each shape and find the area of each using your numbers. DON”T FORGET LABELS!!

2. Tell how many faces, edges and vertices of each solid.

3. Find the area and circumference of the given circles.

Find the surface area and volume of each of the following solids.

4. 5.

6. 7.

CIRCLESFill in the blanks that all that apply.

1. Radii _______________________________

2. Diameter(s) ____________________________

3. Chord(s) ___________________________

4. Tangent(s) ___________________________

5. Secant(s) ___________________________

6. Minor Arc(s)__________________________

7. Semicircle(s) _________________________

8. What is the name of this circle?

9. How many total degrees are in a full revolution of a circle?

Find x.

10. 11. 12.

13. 14. 15.

16. The angle of the wedge in the circle is 45 degrees and the radius of the circle is 1

a. What fraction of the circle’s area is the wedge?

b. What is the area of the wedge?

17. Determine the measure of the central angle, in degrees, for each portion of the circle.

a. 1/3 of a circle b. 1/6 of a circle

18. Name the inscribed angle and intercepted arc.

19. Find the missing length. 20. Find the perimeter

RIGHT TRIANGLES

1. The Pythagorean Theorem is ______________________________.

2. The two types of special right triangles are ________________________ and ________________________.

3. The three basic trigonometric ratios are ______________, _______________, and ________________.

4. A. The sine of an angle is _________________ over ____________________.B. The cosine of an angle is _________________ over ___________________.C. The tangent of an angle is _________________ over __________________.

5. What is the rhyme to help you remember your trigonometry ratios? ________-________-________

Find the value of each variable.

6. 7. 8.

9. 10. 11.

Find the value of each variable. Round decimals to the nearest tenth.

12. 13. 14.

Find the value of each acute angle in the triangles. Round answers to the nearest tenth. 15. 16.

TRANSFORMATIONS