teacher period math / geometry / review for target test

STAR CITYMath / Geometry / Review for Target Test #2b

Name _________________________________

Teacher ____________________ Period _____

1. What is the equation of the line that goes through point F and is parallel to GH↔ below?

A. y = − 13 x + 7

B. y = 12 x + 2

C. y = 3x − 13

D. y = 2x − 7

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STAR CITY – Math – Geometry – Review for Target Test #2b

2. Which equation is parallel to the graph of theequation 4x + y = − 2 and passes through thepoint (5, 3)?

A. x − 4y = − 17

B. 4x + y = 17

C. x − 4y = − 7

D. 4x + y = 23

3. Which equation will graph a line that isperpendicular to y = 3

5 x − 7?

A. y = − 53 x + 7

B. y = − 35 x − 7

C. y = 35 x + 1

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D. y = 53 x − 7

4. Line FG has a slope of 3. Which is theequation of a line that is perpendicular to lineFG?

A. y = − 13 x + 2

B. y = − 3x − 5

C. y = 13 x − 5

D. y = 3x − 4

5. Russell and Cody are helping Coach Adamspaint yard lines on the football field for the fallseason. They start by painting the sideline.Then, they paint each yard line 10 yards apart,perpendicular to that sideline as shown below.

What is the measure of ∡ 1?

A. 45°

B. 60°

C. 90°

D. 180°

Use the figure below to answer question 6.

6. Which segment has a perpendicular bisectorequation of y = − 4x + 11 1

2 ?

A. AB

B. BF

C. AD

D. BG

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7. The coordinate plane below shows one sectionof fence on a farm. The farmer would like toadd a new partition fence along theperpendicular bisector of DE.

What is the equation of the perpendicularbisector of DE?

A. y = 45 x + 7

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B. y = − 54 x + 3

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C. y = 45 x

D. y = − 54 x + 3

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8. Based on the figure shown below, which oneof the following must be false?

A. m ∠ d = m ∠ b

B. m ∠ d = 90° − m ∠ c

C. m ∠ e = 90° − m ∠ d

D. m ∠ a = 180° − (m ∠ b + m ∠ e)

9. In the figure below, line SZ ⊥ line XG.

Which pair of angles are adjacent andcomplementary?

A. ∠ XKS and ∠ GKS

B. ∠ XKY and ∠ ZKY

C. ∠ YKS and ∠ ZKT

D. ∠ XKZ and ∠ GKS

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10. The figure below shows the intersection of twosets of railroad tracks.

What is m ∠ 1?

A. 37°

B. 53°

C. 127°

D. 143°


11. The parking lot at the grocery store looks likea series of parallel lines (a, b, c, d) intersectedby a transversal t. Which statement is trueabout angles 1 and 2?

A. They are alternate exterior angles.

B. They are alternate interior angles.

C. They are complementary.

D. They are supplementary.

Use the diagram below to answer question 12.

12. In the diagram above, l ∥ m. What is y?

A. 25°

B. 82°

C. 98°

D. 134°

13. If m||n, what is the value of x?

A. 40°

B. 60°

C. 80°

D. 100°

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14. Zane wants to cut a board 14 inches long. Hemarks a point along the edge of a board 14inches from the end. Which geometricproperty justifies this procedure?

A. For every pair of points there is a uniquepositive real number called the distancebetween them.

B. If a point is equidistant from theendpoints of a segment, it is on theperpendicular bisector of that segment.

C. Through any two points there is exactlyone line.

D. If two lines intersect, then they intersectin exactly one point.

15. The location of a fire is determined fromreports by forest workers located in twodifferent observation towers who give theirsight (compass bearing) to the fire. Whatgeometric property justifies this procedure?

A. Through any two points there is exactlyone line.

B. If two lines intersect, they intersect inexactly one point.

C. Congruent figures have the same size andshape.

D. Two rays with a common endpoint forman angle.

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16. Given: ΔXYZ and XZ ∥ YR

Prove: m ∠ 1 + m ∠ 2 + m ∠ 3 = 180°

What is the reason in Step 2?

A. Vertical angles are congruent.

B. Complementary angles are congruent.

C. Corresponding angles of parallel lines are congruent.

D. Alternate interior angles of parallel lines are congruent.

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17. Samantha has been given the followinginformation about the figure above.

• AN ≅ EL• ∡ GNA ≅ ∡ GEL• NA ⊥ AL• EL ⊥ AL

Which statement/reason pair would be used inproving that ΔNGA ≅ ΔEGL ?

A. ∡ NGA ≅ ∡ EGL , vertical angles

B. AG ≅ GL , definition of midpoint

C. NG ≅ EG, reflexive property

D. ∡ A and ∡ L are right angles,definition of perpendicular lines


18. Given a ⊥ b and a ⊥ c, which reason wouldnot be used to prove that b ∥ c?

A. ∡ 2 is a right angle by the definition ofperpendicular.

B. ∡ 4 is a right angle by the definition ofperpendicular.

C. ∡ 2 ≅ ∡ 4 because all right angles arecongruent.

D. b ∥ c by the definition of perpendicularlines.

Use the segments below to answer question 19.

19. Which step is not used in constructing arectangle?

A. Construct a perpendicular line throughpoint A.

B. Construct a perpendicular line throughpoint B.

C. Label a point, C, on the perpendicular linethrough point A.

D. Draw an arc through AB from point C.

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STAR CITYOpen-Response / Geometry / Review for Target Test #2b

Name _________________________________

Teacher ____________________ Period _____

GEOMETRY OPEN-RESPONSE ITEM A

A. Human blood is often classified according to whether three antigens, A, B, and Rh, are present or absent.Blood type is stated first in terms of antigens A and B: blood containing only A is called type A, bloodcontaining only B is called type B, blood containing both A and B is called type AB, and blood containingneither A nor B is called type O. The presence or absence of Rh is indicated by adding the word positive(present) or negative (absent) or its corresponding symbol ( + or – ). The table below shows the eight bloodtypes that result and the percentage of people with each type in the U.S. population.

Blood Type Percentage ofPopulation

A positive 34 %

B positive 9 %

AB positive 3 %

O positive 38 %

A negative 6 %

B negative 2 %

AB negative 1 %

O negative 7 %

1. Complete the Venn diagram on the Student Answer Document. Label each region with its blood type(include positive or negative) and percent of the population.

2. Blood type O– is known as the Universal Donor, meaning that anyone can receive this blood type.What percent of the population can receive this blood type? Show or explain your work.

3. Blood type AB+ is known as the Universal Recipient, meaning that anyone can donate blood for aperson with this blood type. However, blood type AB– can only give blood to type AB. For whatpercent of the population can type AB– be a donor? Show or explain your work.

BE SURE TO LABEL YOUR RESPONSES (1), (2) AND (3).

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STAR CITYStudent Answer Document / Geometry / Review for Target Test#2b

Name _________________________________

Teacher ____________________ Period _____

9

A

GEOMETRY OPEN-RESPONSE ITEM A (LG.1.G.1C)

A. Human blood is often classified according to whether three antigens, A, B, and Rh, are present or absent. Blood type is statedfirst in terms of antigens A and B: blood containing only A is called type A, blood containing only B is called type B, bloodcontaining both A and B is called type AB, and blood containing neither A nor B is called type O. The presence or absence ofRh is indicated by adding the word positive (present) or negative (absent) or its corresponding symbol ( + or – ). The tablebelow shows the eight blood types that result and the percentage of people with each type in the U.S. population.

Blood Type Percentage ofPopulation

A positive 34 %

B positive 9 %

AB positive 3 %

O positive 38 %

A negative 6 %

B negative 2 %

AB negative 1 %

O negative 7 %

1. Complete the Venn diagram on the Student Answer Document. Label each region with its blood type (include positive ornegative) and percent of the population.

2. Blood type O– is known as the Universal Donor, meaning that anyone can receive this blood type. What percent of thepopulation can receive this blood type? Show or explain your work.

3. Blood type AB+ is known as the Universal Recipient, meaning that anyone can donate blood for a person with this bloodtype. However, blood type AB– can only give blood to type AB. For what percent of the population can type AB– be adonor? Show or explain your work.

BE SURE TO LABEL YOUR RESPONSES (1), (2) AND (3).

RUBRIC FOR GEOMETRY OPEN-RESPONSE ITEM A (LG.1.G.1C)

Score Description

4 The student earns 5 points. All explanations are clear and correct.

3 The student earns 4 – 4.5 points.

2 The student earns 3 – 3.5 points.

1 The student earns 0.5 – 2.5 points.ORThe student demonstrates minimal understanding of representing data in a Venn diagram.

0 No understanding. Work is either incorrect or irrelevant.

B Blank. - No response. - No attempt to answer item.

Solution and Scoring

Scoring:

Part 1: Score 3 points for completing the Venn diagram correctly and properly identifying each regionwith its type and percentage.

OR

Score 2 points for completing the Venn diagram with percentages, but the labels are missing orincomplete.

OR

Score 1 point for placing at least 5 of the percentages in the proper location with correct labels.

Part 2: Score 1 point for correctly calculating the percent of the population that receives blood type O–

with work shown.

OR

Score ½ point for calculating the percent of the population that receives blood type O– withcalculation error or no work shown.

Part 3: Score 1 point for correctly calculating the percent of the population that blood type AB– is adonor with work shown.

OR

Score ½ point for calculating the percent of the population that blood type AB– is a donor withcalculation error or no work shown.

Solution:

Part 1:

Part 2: 100 % of the population can receive blood type O–.

34% + 9% + 3% + 38% + 6% + 2% + 1% + 7% = 100%

Part 3: Type AB– can only give blood to those who have type AB+ or AB– blood, which is 4% of thepopulation.

3% + 1% = 4%

STAR CITYMath / Geometry / Review for Target Test #2bAnswer Key and Alignment

Answer Source SLE1. C AR CGT.5.G.22. D TLI CGT.5.G.23. A AR CGT.5.G.34. A AR CGT.5.G.35. C TLI LG.1.G.5b6. D TLI CGT.5.G.47. B TLI CGT.5.G.48. C AR LG.1.G.49. B AR LG.1.G.410. A AR LG.1.G.411. B AR LG.1.G.5a12. D AR LG.1.G.5a13. C AR LG.1.G.5a14. A TLI LG.1.G.615. B TLI LG.1.G.616. C AR LG.1.G.617. D TLI M.3.G.5a18. D TLI M.3.G.5a19. D TLI M.3.G.5b

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