Geometry Winter Review 2014-2015
Student Packet
Name: __________________________________________________ Date:_______________________ MAFS.912.G-CO.4.12 1. Below is a stage in the construction of a line segment congruent to AB with point C as one of the endpoints
of the new line segment.
Which of the following sentences describes the next step in the construction? A. Set the compass point on point B and adjust the compass width to point C. B. Mark a point on ๐ด๐ตฬ ฬ ฬ ฬ and adjust the compass width to point C from the point. C. Mark a point on ๐ด๐ตฬ ฬ ฬ ฬ and make two arcs on ๐ด๐ตฬ ฬ ฬ ฬ centered at the point. D. Set the compass point on point A and adjust the compass width to point B.
MAFS.912.G-CO.1.2 2. Which of the following transformations does not preserve distance and angle measures?
A. translation B. reflection C. rotation D. horizontal stretch
MAFS.912.G-CO.2.6 3. Is triangle ๐๐๐ congruent to triangle ๐๐๐?
A. Yes. Triangle STU was rotated clockwise 270ยฐ about point T, translated 7 units to the right, and translated 6 units down to create triangle WXY.
B. Yes. Triangle STU was rotated clockwise 270ยฐ about point T, translated 4 units to the right, and translated 2 units down to create triangle WXY.
C. No. Triangle STU is not congruent to triangle WXY. D. Yes. Triangle STU was rotated clockwise 90ยฐ about point T, translated 7 units to the right, and translated 6 units
down to create triangle WXY.
Geometry Winter Review 2014-2015
Student Packet
MAFS.912.G-CO.4.12 4. Amy made a mistake in creating a copy of โ ๐ด๐ต๐ถ. What does she need to correct in the following
construction for copying โ ๐ด๐ต๐ถ with point ๐ธ as the vertex of the new angle?
A. The second arc should be centered at point J and pass through point A. B. The third arc should be centered at point K and pass through point E. C. The second arc should be centered at point H and pass through point A. D. The third arc should be centered at point K and intersect the second arc.
MAFS.912.G-CO.1.3 5. If โ ๐ป โ โ ๐พ, which of the following conditions must also be met to prove that โ๐บ๐ป๐ฝ โ โ๐ฟ๐ฝ๐พ by Angle-
Angle-Side rule?
A. I only B. I or IV only C. II only D. III or IV only
Geometry Winter Review 2014-2015
Student Packet
MAFS.912.G-CO.1.3 6. Which transformation carries the regular hexagon EFGHIJ onto itself?
A. a rotation of 60ยฐ about its center B. a rotation of 45ยฐ about its center C. a rotation of 90ยฐ about its center D. a rotation of 30ยฐ about its center
MAFS.912.G-CO.3.10 7. Given: โ๐ด๐ต๐ถ with exterior โ 4
Prove: ๐โ 4 = ๐โ 1 + ๐โ 2
Proof:
Which of the following reasons completes the proof?
A. ๐โ 4 + ๐โ 3 = ๐โ 1 + ๐โ 2 + ๐โ 4 B. ๐โ 1 + ๐โ 3 + ๐โ 4 = 180ยฐ C. ๐โ 1 + ๐โ 2 + ๐โ 4 = 180ยฐ D. ๐โ 4 + ๐โ 3 = ๐โ 1 + ๐โ 2 + ๐โ 3
Geometry Winter Review 2014-2015
Student Packet
MAFS.912.G-CO.2.7 8. Triangles ABC and DEF have two sets of sides of the same length and the included angles between those
sides have the same measure as shown below.
Which of the following point transformations is a result of a sequence of rigid motions that can be used to show that triangle ABC is congruent to triangle DEF by taking triangle ABC onto triangle DEF?
A. (๐ฅ, ๐ฆ) ๐ก๐ (โ๐ฆ + 7, โ๐ฅ) B. (๐ฅ, ๐ฆ) ๐ก๐ (โ๐ฆ, โ๐ฅ + 7) C. (๐ฅ, ๐ฆ) ๐ก๐ (โ๐ฅ, โ๐ฆ + 7) D. (๐ฅ, ๐ฆ) ๐ก๐ (โ๐ฅ + 7, โ๐ฆ)
MAFS.912.G-CO.4.12 9. What is the first step in the construction of an angle bisector using only a compass and straightedge?
A. Mark a point in the angle's interior and draw an arc centered at the point, intersecting both the legs of the
angle. B. Place the compass needle on one of the legs of the angle and draw an arc intersecting the other leg. C. Mark a point outside the angle and draw an arc centered at the point, intersecting the vertex of the angle. D. Place the compass needle on the vertex of the angle and draw an arc across both legs of the angle.
MAFS.912.G-CO.2.7 10. A series of transformations were applied to triangle ๐ฝ๐พ๐ฟ to create triangle ๐๐๐.
If triangle JKL and triangle XYZ are congruent, which of the following transformations could have been applied to triangle JKL?
A. I and III only B. I, II, III, and IV C. I, II, and III only D. I and II only
Geometry Winter Review 2014-2015
Student Packet
MAFS.912.G-CO.3.9 11. Given: ๐ โฅ ๐ก and u is a transversal of s and t.
Prove: โ 1 โ โ 5, โ 2 โ โ 6, โ 3 โ โ 7, ๐๐๐ โ 4 โ โ 8
Proof:
Which of the following reasons completes the proof?
A. Two lines cut by a transversal which has a pair of congruent corresponding angles are parallel. B. Two lines cut by a transversal which has a pair of congruent exterior angles are parallel. C. Parallel angles postulate. D. Converse of the parallel angles postulate.
MAFS.912.G-CO.1.2 12. Which of the following transformations will produce a similar, but not congruent figure?
A. dilation B. reflection C. rotation D. translation
Geometry Winter Review 2014-2015
Student Packet
MAFS.912.G-CO.3.9 13. Given: โ 2 and โ 3 are a linear pair,
โ 3 and โ 4 are a linear pair Prove: โ 2 โ โ 4
Proof:
Which of the following reasons completes the proof?
A. Transitive property B. Linear pair postulate C. Congruent complements theorem D. Right angle congruence theorem
MAFS.912.G-CO.1.3 14. Which transformation carries the regular pentagon below onto itself?
A. a rotation of 36ยฐ about the origin B. a rotation of 45ยฐ about the origin C. a rotation of 115ยฐ about the origin D. a rotation of 72ยฐ about the origin
Geometry Winter Review 2014-2015
Student Packet
MAFS.912.G-CO.2.8
15. Triangle ๐๐๐ is rotated clockwise 90ยฐ to create triangle ๐๐๐.
Is triangle MNO congruent to triangle UVW?
A. Yes, the triangles are congruent by SSS.
B. There is not enough information to determine if the triangles are congruent.
C. No, the triangles are not congruent.
D. Yes, the triangles are congruent by AAA.
MAFS.912.G-CO.1.5
16. What are the coordinates of ๐ปโฒ if ๐ธโฒ๐นโฒ๐บโฒ๐ปโฒ is a reflection of ๐ธ๐น๐บ๐ป across the ๐ฆ โ ๐๐ฅ๐๐ ?
A. (-5,-5)
B. (-5,-1)
C. (3,1)
D. (5,1)
MAFS.912.G-CO.3.10
17. If โ๐๐๐ is an equilateral triangle and ๐โ ๐ = 34ยฐ, what is ๐โ ๐๐๐?
A. 26ยฐ
B. 19ยฐ
C. 46ยฐ
D. 86ยฐ
Geometry Winter Review 2014-2015
Student Packet
MAFS.912.G-CO.1.5
18. What is the rule for the transformation below?
A. (๐ฅโฒ , ๐ฆโฒ) = (โ๐ฅ โ 6 , โ๐ฆ + 1) B. (๐ฅโฒ , ๐ฆโฒ) = (๐ฅ โ 6 , โ๐ฆ + 1) C. (๐ฅโฒ , ๐ฆโฒ) = (๐ฅ โ 6 , ๐ฆ โ 1) D. (๐ฅโฒ , ๐ฆโฒ) = (๐ฅ โ 6 , ๐ฆ + 1)
MAFS.912.G-CO.1.5
19. Which of the following sequences of transformations will carry rectangle A onto rectangle B?
A. Rotate rectangle A 90ยฐ counterclockwise about the origin, reflect it over the y-axis, and translate it 1 unit up.
B. Translate rectangle A 7 units down, rotate it 180ยฐ about the point (2, -6), and translate it 8 units to the left.
C. Reflect rectangle A over the x-axis, translate it 2 units up, and reflect it over the y-axis.
D. Rotate rectangle A 90ยฐ clockwise about the origin, and translate it 2 units upand 6 units to the right.
Geometry Winter Review 2014-2015
Student Packet
MAFS.912.G-CO.2.8 20. Triangle ๐ฝ๐พ๐ฟ is translated to create triangle ๐ ๐๐.
Is triangle JKL congruent to triangle RST?
A. Yes, the triangles are congruent by AAA. B. Yes, the triangles are congruent by SAS. C. There is not enough information to determine if the triangles are congruent. D. No, the triangles are not congruent.
MAFS.912.G-CO.3.9 21. In the picture below, two lines intersect at point F. Angle AFC is represented by (9x)ยฐ and angle AFB is
represented by (225 - 14x)ยฐ.
What is the measure of BFD?
A. 91ยฐ B. 90ยฐ C. 9ยฐ D. 81ยฐ
MAFS.912.G-CO.3.9
22. Lines f and g are parallel lines cut by the transversal d. If the measure of โ 2 is 51ยฐ, what is the measure of โ 8?
A. 129ยฐ B. 61ยฐ C. 51ยฐ D. 119ยฐ
Picture not drawn to scale
Picture not drawn to scale
Geometry Winter Review 2014-2015
Student Packet
MAFS.912.G-CO.1.1
23. Which of the following statements is the definition of parallel lines?
A. Two distinct coplanar lines that intersect at a 90ยฐangle.
B. Two distinct coplanar lines that do not intersect. C. Two rays with a common endpoint that point in opposite directions.
D. Two rays sharing a common endpoint.
MAFS.912.G-GPE.2.6
24. In the reflection of a polygon, which of the following characteristics of the polygon remain the same?
A. I and III
B. I and II
C. I, II, III D. II and III
MAFS.912.G-GPE.2.7 25. A triangle is shown on the coordinate plane below.
What is the perimeter of the triangle?
A. 10.63 units B. 25.63 units
C. 28 units
D. 56 units
Geometry Winter Review 2014-2015
Student Packet
MAFS.912.G-SRT.1.1 26. Which of the following represents a polygon that is two times the size of the original polygon?
A.
B.
C. D.
MAFS.912.G-CO.3.10
27. Given isosceles trapezoid ABCD with ๐ท๐นฬ ฬ ฬ ฬ โ ๐ถ๐ธฬ ฬ ฬ ฬ and โ ๐ต๐ด๐น โ โ ๐ถ๐ธ๐ต, determine the missing reason to prove โ๐ด๐น๐ท โ โ๐ถ๐ธ๐ต.
A. alternate exterior angles conjecture B. alternate interior angles conjecture C. vertical angle conjecture D. corresponding angles conjecture
Geometry Winter Review 2014-2015
Student Packet
MAFS.912.G-CO.3.10 28. Given: Point D is the midpoint of ๐ด๐ตฬ ฬ ฬ ฬ and point E is the midpoint of segment ๐ด๐ถฬ ฬ ฬ ฬ .
Prove: ๐ท๐ธฬ ฬ ฬ ฬ โฅ ๐ต๐ถฬ ฬ ฬ ฬ Proof:
Which of the following reasons complete the proof?
A. Angle-Angle similarity postulate B. Triangle Midsegment Theorem C. Side-Angle-Side similarity theorem D. Side-Side-Side similarity theorem
MAFS.912.G-SRT.1.1 29. If the scale factor of a dilation is less than one and greater than zero, what happens to the resulting image?
A. The resulting image will be a rotation of the original image. B. The resulting image will be an enlargement of the original image. C. The resulting image will be a reduction of the original image. D. The resulting image will be a translation of the original image.
Geometry Winter Review 2014-2015
Student Packet
MAFS.912.G-CO.3.10
30. Complete this proof of the isosceles triangle theorem.
Given: โ๐ด๐ต๐ถ is isosceles
Construct: ray BD bisecting โ ๐ด๐ต๐ถ
Prove: โ ๐ถ๐ด๐ต โ โ ๐ต๐ถ๐ด
A. SSS congruence
B. SAS congruence
C. AAS congruence
D. SSA congruence
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