AnswersOC - LCISD - Geometry BCentroid and Orthocenter

Centroid and Orthocenter — Unit test Answers

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The function rule T–4, 6(x, y) could be used to describe which translation?

A
a parallelogram on a coordinate plane that is translated 4 units down and 6 units to the right
B
a trapezoid on a coordinate plane that is translated 4 units to the left and 6 units up
C
a rhombus on a coordinate plane that is translated 4 units down and 6 units to the left
D
a rectangle on a coordinate plane that is translated 4 units to the right and 6 units up
2
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The rule T1, -4 RO, 180°(x, y) is applied to rectangle KLMN.

Question illustration
A
1
B
2
C
3
D
4
3

Based on this information, which pair of lines, together, could be perpendicular to RS? Select two options.

A
Line E A
Option A
B
Line E R
Option B
C
Line E F
Option C
D
Line F G
Option D
E
Line F S
Option E
4

2 horizontal and parallel lines are intersected by 2 diagonal lines to form a triangle with exterior angles. The top angle of the triangle is (2 x + 10) degrees. The bottom right angle of the triangle is 79 degrees. The exterior angle to the bottom left angle is (6 x + 1) degrees.

Question illustration
A
x = 2.25
B
x = 11.25
C
x = 13
D
x = 22
5

Pentagon A B C D E is reflected across the line of reflection m to pentagon A prime B prime C prime D prime E prime. Pentagon A prime B prime C prime D prime E prime is rotated about point C prime 180 degrees clockwise.

Question illustration
A
90 degree rotation about point C prime composition reflected across line m
Option A
B
Reflected across line m composition 90 degree rotation about point C prime
Option B
C
180 degree rotation about point C prime composition reflected across line m
Option C
D
Reflected across line m composition 180 degree rotation about point C prime
Option D
6

Consider the diagram.

Question illustration
A
intersecting.
B
parallel.
C
perpendicular.
D
skew.
7

Consider the diagram.

Question illustration
A
corresponding angles theorem
B
alternate interior angles theorem
C
vertical angles theorem
D
alternate exterior angles theorem
8

All side lengths in quadrilateral PQRS measure 4 units. A transformation maps PQRS to P'Q'R'S'. All sides of P'Q'R'S' measure 1 unit.

A
Yes, the side lengths in the two figures are proportional.
B
Yes, one figure maps to the other.
C
No, the side lengths are not preserved.
D
No, the angles are not preserved.
9

Triangle A B C is shown with its exterior angles. Line C B extends through point D. Line B C extends to form exterior angle that is 135 degrees. Angle C A B is 75 degrees.

Question illustration
A
m∠ABC = 15°
B
m∠ABC = 45°
C
m∠ABC = 60°
D
m∠ABC = 75°
10

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula of y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).

Question illustration
A
(–1, –3)
B
(3, –1)
C
(1, 3)
D
(–3, 1)
11

On a coordinate plane, a triangle has points A (negative 5, 3), B (negative 2, 4), C (negative 2, 2).

Question illustration
A
(4, 2)
B
(2, 4)
C
(–4, –2)
D
(–2, –4)
12

A pipe cleaner lay across a wire shelf. The wires that make up the shelf are parallel, and the pipe cleaner is a transversal. The parallel wires are labeled a, b, and, c, and the angles are labeled with numbers.

Question illustration
A
They are same-side interior angles, so angle 3 measures 50°.
B
They are alternate interior angles, so angle 3 also measures 130°.
C
They are corresponding angles, so angle 3 also measures 130°.
D
They are alternate exterior angles, so angle 3 measures 50°.
13

On a coordinate plane, a square and a point are shown. The square has points R prime (negative 8, 1), S prime (negative 4, 1), T prime (negative 4, negative 3), and U prime (negative 8, negative 3). Point S is at (3, negative 5).

Question illustration
A
(–5, –3)
B
(3, –3)
C
(–1, –6)
D
(4, –9)
14

A line segment has endpoints at (–1, 4) and (4, 1). Which reflection will produce an image with endpoints at (–4, 1) and (–1, –4)?

A
a reflection of the line segment across the x-axis
B
a reflection of the line segment across the y-axis
C
a reflection of the line segment across the line y = x
D
a reflection of the line segment across the line y = –x
15

A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?

A
R0, 90°
B
R0, 180°
C
R0, 270°
D
R0, 360°
16

Triangle L N P has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N R, L P, and Q M. The length of line segment N S is 7 x minus 3 and the length of line segment S R is 5 x minus 3.

Question illustration
A
1 unit
B
2 units
C
4 units
D
6 units
17

A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. How much has the polygon rotated after 7 minutes?

A
14°
B
21°
C
35°
D
42°
18

The figure is an isosceles trapezoid.

Question illustration
A
0
B
1
C
2
D
3
19

Triangle A B C is shown. Lines are drawn from each point to the opposite side and intersect at point D. They form line segments A G, B E, and C F.

Question illustration
A
BE, CF, and AG are angle bisectors.
B
BE ⊥ AC, AG ⊥ BC, and CF ⊥ AB.
C
BE bisects AC, CF bisects AB, and AG bisects BC.
D
BE is a perpendicular bisector of AC, CF is a perpendicular bisector of AB, and AG is a perpendicular bisector of BC.
20

2 right triangles have identical angle measures but different side lengths. The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4.

Question illustration
A
dilation
B
reflection
C
rotation
D
translation

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