Hug HS Math Department: Lesson based on units

**Proctor Hug HS Geometry S1 Unit #1**

## List of Teachers

## Evan Brandt

## Arthur Pacheco

## Carol Mischel

**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.

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.

**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 = ______

**#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.

/

**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.**

**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.

**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.

**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.

/.

/

**1-5: Rotations**

**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.

**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.

**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: