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geometry

Question 29 (Multiple Choice Worth 4 points)

(5.01 MC) <object:standard:ma.912.g.3.1>
 
Which statement best compares a square and a rhombus?

[removed] A rhombus has all angles equal to 90° but a square has opposite angles equal.

[removed] A rhombus has diagonals which are unequal but a square has diagonals which are equal.

[removed] A rhombus has equal diagonals but a square has unequal diagonals.

[removed] A rhombus has non perpendicular diagonals but a square has perpendicular diagonal.

 

 

Question 30 (Multiple Choice Worth 4 points)

(4.02 MC) <object:standard:ma.912.t.2.1>
 
A lamp post, CAB, bent at point A after a storm. The tip of the lamp post touched the ground at point C, as shown below. 
 
Triangle ABC has measure of angle C equal to 60 degrees, measure of angle ABC equal to 90 degrees, and length of BC equal to 14 feet.
 
What is the height, in feet, of the portion AB of the lamp post?

[removed] 14 by cos 60 degrees. 

[removed] 14 tan 60°

[removed] 14 by tan 60 degrees. 

[removed] 14 cos 60°

 

 

Question 31 (Multiple Choice Worth 4 points)

(4.04 MC) <object:standard:ma.912.g.5.3>
 
 
Look at the figure.
 
A right triangle KLM is shown.  A segment from K touches LM at point N and is at right angles with LM. KN measures 10 inches. Angle KML measures 30 degrees.
What is the length of segment KM?

[removed] 14.1 inches

[removed] 17.3 inches

[removed] 10 inches

[removed] 20 inches

 

 

Question 32 (Multiple Choice Worth 4 points)

(3.02 LC) <object:standard:ma.912.g.4.4>

The figure below shows triangle MNO congruent to triangle PQR.
 
Two triangles MNO and PQR are drawn. Measure of angle OMN is equal to the measure of angle RPQ, the measure of angle MONis equal to the measure of angle PRQ. The length of side MO is 3 cm, length of PR is 3 cm and the length of RQ is 4 cm
 
Which of the following is correct? 

[removed] The length of MN is equal to 3 cm.

[removed] The length of NO is equal to 3 cm.

[removed] The length of NO is equal to 4 cm.

[removed] The length of MN is equal to 4 cm.

 

 

Question 33 (Multiple Choice Worth 4 points)

(4.03 MC) <object:standard:ma.912.t.2.1>

The picture shows a box sliding down a ramp.
 
A right triangle ABC has measure of angle ABC equal to 90 degrees and measure of angle ACB equal to 68 degrees. The length of AB is 14 feet
 
What is the distance, in feet, that the box has to travel to move from point A to point C?

[removed] 14 sin 68°

[removed] 14 cosec 68°

[removed] 14 by sec 68 degrees

[removed] 14 by cot 68 degrees

 

 

Question 34 (Multiple Choice Worth 4 points)

(5.05 HC) <object:standard:ma.912.g.3.3>
A quadrilateral KLMN is drawn on a coordinate grid as shown below.
 
Quadrilateral KLMN is shown. The coordinates of the vertices are K(1, -3), L(1, 2), M(5, 2), and N(7, -3)

Troy will draw a quadrilateral PQRS similar to quadrilateral KLMN. The length of PQ should be 10 and P should be located at point (2, -5) . At which points will vertices Q and R be located?

[removed] Q(2, 5) and R(10, 5)

[removed] Q(11, 12) and R(15, 12)

[removed] Q(2, -5) and R(14, 5)

[removed] Q(5, 2) and R(5, -10)

 

 

Question 35 (Multiple Choice Worth 4 points)

(2.01 LC) <object:standard:ma.912.g.4.1>

Which statement is true for an equilateral triangle?

[removed] It has exactly two sides of the same length.

[removed] It has all angles measuring 60°.

[removed] It has one angle measuring 90°.

[removed] It has all three sides of different lengths.

 

 

Question 36 (Multiple Choice Worth 4 points)

(5.03 LC) <object:standard:ma.912.g.3.2>
 
Which statement is true about a rhombus and a rectangle?

[removed] Both have four right angles.

[removed] Both have exactly one pair of sides parallel.

[removed] Both have mutually bisecting diagonals.

[removed] Both have diagonals forming right angles.

 

 

Question 37 (Multiple Choice Worth 4 points)

(1.04 MC) <object:standard:ma.912.g.1.3>

Look at the figure.
 
EH and FG are parallel lines. A transversal AD intersects EH at B and FG at C. Angle EBD is 3x + 10 and angle DCG measures 80 degrees.
 
What is the value of x?

[removed] 20

[removed] 70

[removed] 30

[removed] 90 
 

 

 

Question 38 (Multiple Choice Worth 4 points)

(4.02 MC) <object:standard:ma.912.t.2.1>

The figure shows a triangular piece of cloth.
 
Triangle ABC has angle ABC equal to 90 degrees and angle BAC equal to 38 degrees. Length of AC is 5 inches
 
What is the length of the portion BC of the cloth?

[removed] 5 cos 38°

[removed] cos 38 degrees by 5

[removed] sin 38 degrees by 5

[removed] 5 sin 38°

 

 

Question 39 (Multiple Choice Worth 4 points)

(5.02 MC) <object:standard:ma.912.g.3.1>
 
Which statement is true about a parallelogram and a kite?

[removed] A parallelogram and a kite have opposite pairs of sides parallel

[removed] A parallelogram has opposite sides congruent and a kite has adjacent sides congruent.

[removed] A parallelogram and a kite have adjacent sides that are congruent.

[removed] A parallelogram has exactly one pair of parallel opposite sides and a kite has no parallel sides.

 

 

Question 40 (Multiple Choice Worth 4 points)

(2.05 MC) <object:standard:ma.912.g.4.2>

Look at the triangle KLM with O as its circumcenter.
 
Triangle KLM is drawn. Two segments; ON that is perpendicular to KM and bisects KM is drawn, and OP that is perpendicular to KL and bisects KL is drawn
 
Which line segment will pass through point O in the triangle KLM?

[removed] The perpendicular drawn from angle M on segment KL.

[removed] The line segment bisecting angle KML.

[removed] The line segment from angle K that is perpendicular to segment ML. 
 

[removed] The perpendicular bisector of segment ML.

 

 

Question 41 (Multiple Choice Worth 4 points)

(4.04 MC) <object:standard:ma.912.g.5.3>

The picture shows a portion of an irrigation system for a farm. LM is the main water pipe. 

Triangle KML has the measure of angle MKL equal to 90 degrees, angle KLM equal to 60 degrees, and length of KM equal to 11 feet
 
What is the length of the main water pipe LM?

[removed] 19.1 feet 
 
 

[removed] 12.7 feet

[removed] 5.5 feet

[removed] 6.4 feet

 

 

Question 42 (Multiple Choice Worth 4 points)

(4.03 MC) <object:standard:ma.912.t.2.1>

The height of a cell phone tower, AB, is 280 feet. 
 
Triangle ABC has measure of angle ABC equal to 90 degrees, measure of angle BAC is 50 degrees and length of AB is 280 feet
 
What is the distance, in feet, between the tip of the tower A and a point C on the ground?

[removed] 280 sec 50°

[removed] 280 by cosec 50 degrees

[removed] 280 by tan 50 degrees

[removed] 280 sin 50°

 

 

Question 43 (Multiple Choice Worth 4 points)

(3.02 MC) <object:standard:ma.912.g.4.4>
 
The two triangles shown below are congruent.

Two triangles ABC and MNO are shown. For triangle ABC, AC has length 2 cm, BC has length 3cm, AB has length equal to 2 multiplied by x minus 1 cm. For triangle MNO, MO has length 2 cm, NO has length 3 cm, MN has length x plus 2 cm. Measure of angle ACB is equal to measure of angle MON is equal to 30 degrees
 
What is the value of x?

[removed] 2

[removed] 5

[removed] 1

[removed] 3

 

 

Question 44 (Multiple Choice Worth 4 points)

(3.04 LC) <object:standard:ma.912.g.4.5>
Look at the triangle shown below.
A triangle PQR is shown.DE is a segment joining point D on the side PQ and point E on the side QR.DE is parallel to PR.PQ has length 18 cm, PR has length 6 cm, DE has length 4 cm
What is the length of the segment PD?

[removed] 10 cm

[removed] 4 cm

[removed] 6 cm

[removed] 12 cm

 

 

Question 45 (Multiple Choice Worth 4 points)

(1.01 HC) <object:standard:ma.912.g.8.1>

Look at the planes ABCD and EFGH shown below.
 
Two planes ABCD and EFGH are shown. They intersect in the middle. P is the midpoint of side EF and Q is the midpoint of side DC.
  
Which statement is true about the two planes?

[removed] There is only one segment labeled PQ along which they intersect.

[removed] They intersect at exactly two fixed points.

[removed] There are two segments along which they intersect.

[removed] They intersect at a single point.

 

 

Question 46 (Multiple Choice Worth 4 points)

(2.02 MC) <object:standard:ma.912.g.4.1>

As part of constructing an isosceles triangle, Gail drew a line segment and plotted one vertex of the triangle on the line segment. With this vertex as the center, Gail drew an arc to create a 180 degree angle. How can Gail ensure that the two other points she plots will be the remaining two vertices of an isosceles triangle?

[removed] Construct a perpendicular line and plot one point on the perpendicular line and the other inside the arc.

[removed] Plot both the points on the arc.

[removed] Plot both the points on the line segment.

[removed] Plot one point on the arc and the other beyond the arc.

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