Geometry - Tamalpais Union High School District



Geometry 1-#8 Name: ____________________________

Ch. 1 Review Period: ____ Sept 9. 10 2014

|Vocabulary: Be able to define or describe each term. Which are the “building |Postulates: |

|blocks of geometry?” |The intersection of two lines is __________ |

|Point – |The intersection of two planes is ____________ |

|Line – |Through two points there is __________________. |

|Plane – |Through three non-collinear points there is ______________________. |

|Ray – |If point R is between points P and Q on a line, then |

|Segment – |_________________________________ |

|Collinear points – |If point S is in the interior of (PQR, then _________________________________ |

|Coplanar points – |* Draw figures for the last two postulates. |

|Congruent – | |

|Acute angle – | |

|Supplementary angles – | |

|Complementary angles – | |

|Obtuse angle – | |

|Right angle – | |

|Perpendicular Lines – | |

|Angle- | |

3. Lines, Segments, Rays, and Angles

|a) Name the line four different ways. |b) Draw [pic] |c) Draw [pic] |

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|d) Draw [pic] with a protractor such that [pic] |e) Draw three collinear points A, B, and C. |f) Name the plane two different ways. |

4. Circle the statements that are true and use correct notation for each diagram. Cross out the incorrect statements. Make sure you understand the difference between = & (, [pic]& [pic], and [pic] & [pic].

|a) |b) |

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|[pic], [pic], [pic], | |

| |[pic] [pic] [pic] [pic] |

|[pic]cm, [pic]cm | |

| |[pic] [pic] [pic] |

5. Use the figure to answer the questions.

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| |a) ____________ = 30° |

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| |b) __________ [pic] ____________ |

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| |c) [pic][pic]__ __ __ |

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| |d) [pic]_____° |

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| |e) [pic]_____° |

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| |f) __________ & ___________ are supplementary angles. |

6. Planes

|a) Name plane that represents the top of the box. |d) Name the intersection plane VUY , plane TUX, and plane | |

| |SVT. | |

|b) Name the intersection plane SVW and plane STX. | | |

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|c) Name another point on plane SWX. |e) Name the planes whose intersection is [pic]. | |

7. Point R is between T and V on [pic]. Sketch a figure for each problem.

|a) TR = 15 cm, TV = 47 cm. Find RV. |b) TR = [pic] in, RV = [pic] in. Find TV. (no calculators, show work with fractions) |

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8. Novato is between San Rafael and Ronhert Park along a straight highway. The distance from San Rafael to Rohnert Park is 50 miles. The distance from Novato to Rohnert Park is 2 miles more than 5 times the distance from San Rafael to Novato. Find the distance from Novato to Rohnert Park and from Novato to San Rafael. Show a diagram. Show work with an equation.

|Use the figure on the right to… |d) Name a supplement of (DOE. | |

|a) Name a right angle. | | |

| |e) Name two angles that are complementary. | |

|b) Name an acute angle. | | |

| |f) Name two segments that are perpendicular. | |

|c) Name an obtuse angle. | | |

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|Draw an angle that has a measure of 125° with a protractor. |Use a protractor to measure (1 and (2. |

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|Angle addition postulate |[pic] |

|a) [pic]______ |Find the value of x and [pic]. |

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|b) [pic] | |

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| translate the figure along the line. Use the appropriate prime notation to |reflect the figure over the line. Use the appropriate prime notation to label the |

|label the image. |image. |

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| rotate the figure around the point. Use the appropriate prime notation to |Name each type of transformation (choices: reflection, rotation, translation) |

|label the image. |a. |

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| |b. |

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|Transform the triangle from |If triangle ABC is rotated 180° about the origin which of the following are the |

|(x,y) to (x + 7, y) |coordinates of [pic]. |

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| |A (4,–3) B (–4,–3) C (–3,–4) D (3,–4) |

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|Reflect the triangle across the x-axis. |Describe in words the result of applying each rule. |

|Write the rule: (x,y) to ( , ) |(x,y) to [pic] |

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| |(x,y) to [pic] |

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| |(x,y) to [pic] |

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| |Write the rule for each description. |

| |translate 4 units up |

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| |reflect over y-axis |

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| |translate 2 units left |

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|The vertices of (ABC are A(3, –1) , B(3, 4), and C(0, 1). If (ABC is |Which expression describes the translation of a point from (5, –2) to (8,–6)? |

|translated 2 units down and 3 units to the right to create (DEF, what are the | |

|coordinates of the vertices of (DEF. |A 3 units left and 4 units up |

|A D(6,–3) E(6, 2) F(3,–1) |B 3 units right and 4 units up |

|B D(1,2) E(1, 7) F(–2,4) |C 3 units left and 4 units down |

|C D(6,–4) E(6, 1) F(3,0) |D 3 units right and 4 units down |

|D D(5,–3) E(5, 2) F(2,–1) | |

|Let point A be (2, - 4) and point B be (-8, 1). |(work space) |

|Find the slope of segment AB | |

|Find the distance from point A to point B | |

|Find the coordinates of the midpoint of AB | |

|Write the equation of the line that contains points A and B | |

|Write the equation of the line that is perpendicular to line AB and contains | |

|the point (1, 6) | |

Some final notes: Look at the answers below- remember to mark any questions that you can not correct on your own. We’ll go over those in class before the test on Th/Friday. For the test, you may use your green sheet of notes and a protractor, but nothing else. (no calculator, no old homeworks.) I will be collecting your binder and grading it while you are taking the test- I’ll be looking at all HW from Ch 1, as well as your 3 dividers (notes, quizzes/tests, homework/classwork.) You will get 5 points for having an organized binder in class on the test day, plus I’ll record your Ch 1 HW completion score.

ANSWERS:

1. * means “building block of Geometry”

*Point – no dimension, named with capital letter

*Line – extends infinitely in 2 directions, named with 2 capital letters with arrows above

*Plane – flat, extends infinitely in all directions, named with the word plane followed by 3 letters or a cursive capital letter

Ray – part of a line with an endpoint and extends infinitely in one direction- named with endpoint first

Segment – part of a line with two endpoints

Collinear points – points on the same line

Coplanar points –points in the same plane

Congruent – same size, same shape

Acute angle – angle measure less than 90 degrees

Supplementary angles – two angles whose measure sums to 180 P

Complementary angles – two angles whose measure sums to 90

Obtuse angle – angle measure more than 90, less than 180 degrees R P Q S

Right angle – angle that measures 90 degrees Q

Perpendicular Lines –two lines that intersect at a right angle

Angle- two rays that share a common endpoint R

1. point, line, one line, plane, RP plus PQ = RQ , measure of angle PQS plus measure of angle SQR = measure of angle PQR, see drawings

[pic] b. A B c. A B d. check with protractor e. A B C f. plane ABD, plane Q

2. correct: first, third, fourth b. correct: second, fifth, last

5. a. m ................
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