Geometry S1 Unit 1

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Hug HS Math Department: Lesson based on units

Proctor Hug HS Geometry S1 Unit #1

List of Teachers

Evan Brandt

Arthur Pacheco

Carol Mischel

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Per . 1-1: Basic Terms

1-10: Use the figure at the right to name examples of each term.

1. Three points

2. Two lines

3. Three Rays

4. Three segments

5. Point that is not on

6. Line that does not contain point E

7. Ray with point A as the endpoint

8. Segment with point E and F as its endpoints

9. Three collinear points

10. Three noncollinear points

11-15: Draw and label a figure for each situation.

11. plane XYZ

12. lines l and m intersecting at point T

13. and so that point B is the only point common to both rays

14.

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The picture to the right is an example of the most common type of roof;

a gabled roof. It has two surfaces that meet at the top. The roof

and walls of the building are models of planes.

16. Name a point that is coplanar with points C and D.

17. Name a point that is noncoplanar with points R, S, and T.

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1-2: Segment Addition Postulate/Midpoints/Segment Bisectors

C is between A and E. For each problem, draw a picture representing the three points and the information given. Solve for indicated.

3) If AC = 24 in. and CE = 13 in., AE = _____. 4) If CE = 7in. and AE = 23 in., AC = _____.

Find QR in the following problems. R is between Q and S.

5) If RS = 44.6 and SQ = 68.4, find QR. 6) If RS = 33.5 and RQ = 80, find SQ.

Refer to the figure and the given information to find each measure.

7) Given : AC = 39 m

x = ________

AB = _______

BC = _______

8) Given the figure and DG = 60 ft.

D O G

4x- 3 2x + 21

C

.

A 2x-8 B x+17

x = _______

DO = ______

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#9 – 13. Q is the midpoint of R is the midpoint of

9) Find PS if PQ = 8 inches. 10) Find QR if PQ = 8 inches.

11) Find PS if RS = 2.5 cm. 12) Find x if PQ = 3x – 4 and QS = 29.

13) Find a if RS = 2a + 8 and QS = 28.

14) Solve for y in the diagram if D is the midpoint of and

/

/

//15) Given JB is the segment bisector of AD, AD = 24, AZ = 2x + 4. Find the value of x.

/

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1-3: Translations

Apply the given translations:

1. (x,y)  (x + 5, y + 1) 2. (x,y)  (x – 1, y + 2) 3. (x,y)  (x, y – 3)

4. (x,y)  (x + 5, y + 2) 5. (x,y)  (x + 4, y – 4) 6. (x,y)  (x + 2, y + 3)

Write a rule to describe each translation.

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Write a rule to describe each translation.

9. 10.

11. What are coordinates for the image of quadrilateral ABCD after the translation of ?

A.

B.

C.

D.

Review:

12. Why doesn’t a line have a midpoint? 13. Explain what it means to bisect a line segment.

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1-4: Reflections Reflect the following:

1. Across the x axis 2. Across the y axis 3. Across the x axis

4. Across the y axis 5. Across x = 2 6. Across y = -1

7,8: Use the grid to find your answers

7. Find the coordinates of the image of the point

when it is reflected across the

line .

A. C.

B. D.

8. Find the coordinates of the image of the point

when it is reflected across the

line .

A. C.

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Review

Fill in the blank with the word that best matched the picture shown.

9.________________________ 10. _________________________

Word Bank Point Line Plane Line Segment Ray Collinear Coplanar Midpoint Endpoints Bisect 11. _________________________ //// /// //

12. B ________________ AC

/// //

13. A and C are _______________ /

14. _________________________ ///////

15. A, B, and C are ____________.

///////

16. A, B and C are ____________. / 17. _______________________ /////// / / /

18. B is the _____________ of AC

/

19. Complete the following statements.

a) MR = 24, HR = ______ b) TR = 16, AT = ______

//20. Given JB is the segment bisector of AD,

AD = 48, AZ = 2x + 4, find x.

/.

/

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1-5: Rotations

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Use the grid below to help you answer the following questions: 13. Describe the transformation .

A. A reflection across the y-axis

B. A reflection across the x-axis

C. A rotation with center of rotation

D. A rotation with center of rotation

14. What are the coordinates for the image of after a rotation clockwise about the origin and a translation of ?

A.

B.

C.

D.

15. The point is rotated counterclockwise about the origin, and then the image is

reflected across the line . What are the coordinates of the final image ?

A. C.

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Geometry Name: ________________________________ Per ____ Unit 1 Practice Test

1-3: Name each figure:

1. 2. 3.

Use the diagram to answer questions 4,5:

4. Name 3 Collinear points

5. Name 3 Non-Collinear points

6-8: Use the Segment Addition Postulate

6. What is the length of AC? 7. What is the length of BC?

8. Find x and all missing measures.

9. AB is 62mm long and M is the midpoint, determine the length of AM

10. Solve for y in the diagram if D bisects AH

Answers 1. 2. 3. 4. 5. 6. 7. 8.

x = _____

AB = _____

BC = _____

9.

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11-13: Match each transformation based on the pre-image and image:

11. A. Rotation

B. Reflection

12. C. Translation

13.

14-16: Apply the given Transformation and list your new coordinates.

14. Reflect across the x axis 15. (x,y)(x + 3, y – 2) 16. Rotate 90ᵒ clockwise

17. Write a rule for the following translation:

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18. What are the coordinates for the image of

after a rotation

clockwise about the origin and a translation of

?

A.

B.

C.

D.

20.

Which composition of transformations maps

into the first quadrant?

A.

Reflection across the line

and then a translation of

.

B.

Translation of

and

then a reflection in the line

.

C.

Clockwise rotation about the origin

by

and then reflection across

the

y

-axis.

D.

Counterclockwise rotation about

the origin by

and then a

translation of

.

19.

The point

is rotated

counterclockwise about the origin, and then the image is

reflected across the line

. What are the coordinates of the final image

?

A.

C.

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Figure

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References

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Related subjects : final image Across the Line