Download Geometry Midterm Review Fall 2015 new format

Geometry Review for 2015 Fall Semester Exam
Name:_____________________________________________
Hr:____
Read each question carefully.
1)
Randy is proving that in parallelograms opposite angles arecongruent. He is using the fact that when a
transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are
congruent. Which pair of statements establishes that there is a pair of opposite congruent angles in
the parallelogram?
A) Angles 3 and 6 are congruent.
Angles 5 and 6 are congruent.
B) Angles 1 and 6 are congruent.
Angles 5 and 7 are congruent.
C) Angles 2 and 5 are congruent.
Angles 5 and 7 are congruent.
D) Angles 1 and 6 are congruent.
Angles 6 and 3 are congruent.
2)
What are two undefined terms that are useful for defining asegment?
A)
angle, line
B)
line, point
C)
point, ray
D)
ray, distance
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3)
If Figure 1 is reflected across the y-axis and rotated 90° counterclockwise around point C, which
statement is true?
A)
The area increases by a factor of 2.
B)
The area decreases by a factor of 2 .
C)
The area stays the same.
D)
The area increases by 2 the length of the base times the
height.
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1
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4)
5)
What is demonstrated by the construction?
A)
a line through R parallel to line l
B)
a line through R congruent to line l
C)
a line through R perpendicular to line l
D)
a line through R bisecting line l
Which best completes the definition below?
Parallel lines: two or more lines on a plane that
A)
have one point of intersection
B)
have no points of intersection
C)
are horizontal
D)
are vertical
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6)
Which figure shows the shape below rotated 90° clockwise about the origin?
A)
Figure 1
B)
Figure 2
C)
Figure 3
D)
Figure 4
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7)
Which of the following could be proven?
A)
∠ADE ≅ ∠EDC
B)
∠EDC ≅ ∠FDB
C)
m∠EDF = 90°
D)
∠ADE ≅ ∠BDF
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8)
What is demonstrated by this construction?
A)
parallel lines
B)
perpendicular lines
C)
perpendicular bisector
D)
angle bisector
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9)
The vertices of a regular hexagon inscribed in a circle are numbered 1 through 6 in order. Point 1 is
selected as a vertex for an equilateral triangle to be inscribed into the circle. Which point will make
another vertex of the triangle?
A)
a point of intersection of the circle and the perpendicular bisector of the segment with
endpoints 2 and 3
B)
a point of intersection of the circle and the perpendicular bisector of the segment with
endpoints 3 and 4
C)
point 5
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10)
What is demonstrated by this construction?
A)
intersecting lines
B)
congruent angles
C)
angle bisector
D)
complementary
angles
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11)
A series of rigid motions superimposed Quadrilateral 1 onto Quadrilateral 2. The side lengths of
Quadrilateral 1 listed clockwiseare 7, 7, 8, and 9. Which is a possible list of the side lengths of
Quadrilateral 2, in clockwise order?
A) 7, 8, 7, 9
B) 7, 9, 7, 8
C) 8, 7, 9, 7
D) 8, 7, 7, 9
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12)
13)
Which triangle was constructed congruent to the given triangle?
A)
Triangle 1
B)
Triangle 2
C)
Triangle 3
D)
Triangle 4
What is described below?
All the points on a line located between points A and B, including points A and B.
A)
ray AB
B)
segment AB
C)
a line that is parallel to line AB
D)
a line that intersects line AB
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14)
Which of the following could be proven?
A)
B)
C)
D)
∠1 ≅ ∠2
m∠5 + m∠2 = m∠7
∠3 ≅ ∠4
m∠4 + m∠1 = m∠5 + m∠6
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15)
Which transformation maps the solid figure onto the dashed figure?
A)
reflection across the x-axis
B)
reflection across the y-axis
C)
translation to the left
D)
rotation about the origin
16)
A)
B)
C)
D)
61°
60°
59°
58°
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17) Which transformation maps the solid figure onto the dashedfigure?
A)
reflection across the x-axis
B)
reflection across the y-axis
C)
rotation about the origin
D)
translation down
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18) Based on the side length relationships of triangles ABC and XYZ,which statement is true?
AB = XY
AC = ZY
BC = ZX
A) The information provided is not sufficient to decide whether the triangles are congruent.
B)
The triangles are congruent.
C)
The triangles are not congruent.
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19) The following is known about triangles ABC and DEF:
AB = DE
BC = EF
CA = FD
After a series of rigid transformations is applied to triangle DEF, the image of side DE coincides with
side AB of triangle ABC. If D'E'F', the image of triangle DEF, does NOT coincide with triangle ABC,
which of the following statements is true?
A) A reflection of the triangle D'E'F' across line AB must coincide with triangle ABC.
B) A reflection of the triangle D'E'F' across the perpendicular bisector of segment AB must
coincide with triangle ABC.
C) Two reflections may be necessary to have the image of triangle D'E'F' coincide with triangle
ABC.
20) Which best completes the explanation of the SAS criterion for triangle congruence?
If two pairs of corresponding sides and the of pair corresponding included angles are
congruent, ...
A) then the triangles are congruent regardless of whether other pairs
of corresponding parts are congruent.
B)
then one triangle can be made to coincide with the other by applying a dilation.
C)
then there are two more pairs of congruent corresponding angles, and the remaining pair of
sides are also congruent.
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21) If triangle ABC is rotated 90° clockwise about point B, what are the new coordinates of point A?
A) (-3, 3)
B) (3, 3)
C) (3, -3)
D) (-3, -3)
22) The following is known about triangles ABC and DEF:
∠A ≅ ∠D
AB = DE
CA = FD
After a series of rigid transformations is applied to triangle ABC, the image of angle A coincides
with angle D. Which of the following about B'C', the image of segment BC, is true?
A)
Segment B'C' must coincide with EF.
B)
Segment B'C' may or may not coincide with EF. B'C' = EF.
C)
Segment B'C' may or may not coincide with EF. B'C' may or may not be equal to EF.
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23) If triangle ABC is rotated 90° clockwise about point C, what are the new coordinates of point A?
A) (4, 4)
B) (5, 4)
C) (4, 3)
D) (3, 4)
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24) The expressions for two angles from two different triangles aregiven. For which value of x could
the two triangles be congruent?
Triangle 1 angle measures: (x+10)°,(x + 20)
Triangle 2 angle measures: (2x 10)°,(2x - 30)°
A)
20
B)
30
C)
40
D)
50
25) If triangle ABC is rotated 90° clockwise about point A, what are the new coordinates of point B?
A) (-5, -1)
B) (-1, 5)
C) (-5, 1)
D) (1, -5)
26) Which rigid motion could be used to show that triangle ABC is congruent to triangle DEC?
A)
a rotation
B)
a translation
C)
a reflection
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