geometry

Question 29
 (Multiple Choice Worth 4 points)

(5.01 MC)  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)  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.   What is the height, in feet, of the portion AB of the lamp post?

[removed]  

[removed] 1

4 tan 60°

[removed]  

[removed] 14 cos 60°

  

Question 31
 (Multiple Choice Worth 4 points)

(4.04 MC)   Look at the figure. What is the length of segment KM?

[removed] 14.1 inches

[removed] 17.3 inches

[removed] 10 inches

[removed] 2

0

inches

  

Question 32
 (Multiple Choice Worth 4 points)

(3.02 LC) The figure below shows triangle MNO congruent to triangle PQR.  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) The picture shows a box sliding down a ramp.  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] [removed]   

Question 34
 (Multiple Choice Worth 4 points)

(5.05 HC) A quadrilateral KLMN is drawn on a coordinate grid as shown below. 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) 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)  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) Look at the figure.  What is the value of x?

[removed] 20

[removed] 70

[removed] 3

0

[removed] 90  

  

Question 38
 (Multiple Choice Worth 4 points)

(4.02 MC) The figure shows a triangular piece of cloth.  What is the length of the portion BC of the cloth?

[removed] 5

cos 38°

[removed] [removed] 

[removed] 5 sin 38°

  

Question 39
 (Multiple Choice Worth 4 points)

(5.02 MC)  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) Look at the triangle KLM with O as its circumcenter.  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) The picture shows a portion of an irrigation system for a farm. LM is the main water pipe.  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) The height of a cell phone tower, 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] [removed] 

[removed] 280 sin 50°

  

Question 43
 (Multiple Choice Worth 4 points)

(3.02 MC)  The two triangles shown below are congruent. What is the value of x?

[removed] 2[removed] 5[removed] 1[removed] 3  

Question 44
 (Multiple Choice Worth 4 points)

(3.04 LC) Look at the triangle shown below.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) Look at the planes ABCD and EFGH shown below.   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) 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.