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  • Question 47 (Fill-In-The-Blank Worth 4 points) (8.02 MC)  Look at the circle on the coordinate plane. Dora wrote the equation of the circle…

Question 47 (Fill-In-The-Blank Worth 4 points) (8.02 MC)  Look at the circle on the coordinate plane. Dora wrote the equation of the circle…

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Question 47 (Fill-In-The-Blank Worth 4 points)

(8.02 MC) <object:standard:ma.912.g.6.6 ma.912.g.6.7=””>

Look at the circle on the coordinate plane.

A circle is made on a grid with center at (1, 3) and radius equal to 4 units.

Dora wrote the equation of the circle in the center radius form as (x – p)+ (y – q)= 16.

The value of p + q is _____.

Answer for Blank 1: [removed]

 


 

Question 48 (Multiple Choice Worth 4 points)

(09.02 MC) <object:standard:ma.912.d.6.4>

Read the statements shown below. 

If a closed figure has three line segments joined end to end, it is a triangle. 
If all the three angles of a triangle are congruent, it is an equilateral triangle. 
Morgan constructed a triangle with all three sides congruent in the geometry class. 

Based on the given statements, which is a valid argument?

[removed] It cannot be concluded that Morgan drew an equilateral triangle.

[removed] It can be concluded that Morgan drew a closed figure having three congruent line segments joined end to end.

[removed] It cannot be concluded that Morgan drew a closed figure having three line segments joined end to end.

[removed] It can be concluded that Morgan drew a rectangle.

 


 

Question 49 (Fill-In-The-Blank Worth 4 points)

(3.02 LC) <object:standard:ma.912.g.4.4>
Look at the congruent triangles ABC and PQR. 

Two triangles ABC and PQR. Measure of angle BAC is equal to measure of angle PQR=45°. Measure of angle ABC is equal to measure of angle RPQ. AB=5, AC=4, RQ=4. 

What is the length of QP?

Answer for Blank 1: [removed]

 


 

Question 50 (Fill-In-The-Blank Worth 4 points)

(07.01 MC) <object:standard:ma.912.g.2.5 ma.912.g.2.7=””>

If the dimensions of a rectangle become one-fifth of the original dimensions, then area of the new rectangle will be _______of the area of the original rectangle. 

Enter your answer in numerical form, using the / for the fraction bar if needed.

Answer for Blank 1: [removed]

 


 

Question 51 (Multiple Choice Worth 4 points)

(8.01, 8.04 HC) <object:standard:ma.912.g.6.5 ma.912.g.6.2=”” ma.912.g.6.4=””>

The figure below shows a circular prop with two triangles labeled ABC and AOC made on it. The center of the prop is labeled O. 

A circle is drawn with an inscribed triangle ABC. Angle ABC measures 45 degrees. O is the center of the circle. Triangle AOC has AC equal to 2 feet. 

What is the area of the cloth required to make the circular prop?

[removed] 12.56 ft2

[removed] 3.14 ft2

[removed] 6.28 ft2

[removed] 10.32 ft2

 


 

Question 52 (Multiple Choice Worth 4 points)

(9.01 MC) <object:standard:ma.912.d.6.2 ma.912.d.6.3=””>

Read the proposition and the implication shown below. 

“If the shelf door is open, the money is stolen.” 

Which statement is a contrapositive to the proposition and logically equivalent to it?

[removed] If the money is not stolen, the shelf door will be closed.

[removed] If the shelf door is open, the money has not been stolen.

[removed] If the money has been stolen, the shelf door will be open.

[removed] If the shelf door is not open, the money has not been stolen.

 


 

Question 53 (Multiple Choice Worth 4 points)

(07.01 MC) MA.912.G.2.5/ MA.912.G.2.7

Harry folds his origami paper along the dotted lines shown below so that the triangular flaps overlap exactly on the square.

The origami paper is shown as a square with a triangle on each of the four sides. The length of the side of the square is equal to 4 multiplied by the square root of 2 inches. The folded origami paper shows a square with each side equal to 4 multiplied by the square root of 2 inches and the diagonals of the square are drawn.

If the dimensions of the origami paper are decreased by One-half, what will be the new area of the paper?

[removed] 32 square inches

[removed] 16 square inches

[removed] 8 square inches

[removed] 48 square inches

 


 

Question 54 (Multiple Choice Worth 4 points)

(06.01 HC) <object:standard:ma.912.g.2.1>

Paul made this cardboard cut-out below.

A triangle ABC is shown with a single hash mark on each side. BC forms the base of the triangle.

Paul wants to add a polygon to ABC to create rhombus ABDC that is not a square. Which statement about the polygon he adds must be true?

[removed] It has at most two angles congruent to the angles in ABC.

[removed] It has the same number of angles as a rhombus.

[removed] It is concave and regular.

[removed] It is regular and convex.

 


 

Question 55 (Multiple Choice Worth 4 points)

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

Isaac and Betty are describing two triangles.

Isaac says, ”My triangle has a 90° angle.”
Betty says, ”My triangle has two sides and two angles equal.”

Which triangles did Isaac and Betty describe?

[removed] Isaac described a right triangle, and Betty described an isosceles triangle.

[removed] Isaac described a right triangle, and Betty described a scalene triangle.

[removed] Isaac described an equiangular triangle, and Betty described an isosceles triangle.

[removed] Isaac described an equiangular triangle, and Betty described a scalene triangle.

 


 

Question 56 (Multiple Choice Worth 4 points)

(3.04 MC) <object:standard:ma.912.g.4.4>
A 6 foot tall student stands 10 feet away from the lens of a camera. The film of the camera is 2 inches away from the lens.

6 ft tall student is standing 10 feet away from the lens of a camera, behind the lens of the camera is shown the film of the camera, 2 inches away from the lens.

What is the height of the film?

[removed] 3.0 inches

[removed] 1.2 inches

[removed] 1.5 inches

[removed] 0.6 inches

 


 

Question 57 (Multiple Choice Worth 4 points)

(10.02 HC) <object:standard:ma.912.g.5.1>

Andrea drew the diagram shown below and described it as an equilateral triangle with a square inside it. Point D is the midpoint of segment AC. 

The figure shows a square EFGD inside a triangle ABC. Vertices E and F are on side AB, vertex G is on side BC, and vertex D is on side AC. Segment AD is 9, segment AE is 6 and segment FB is 6. 

The geometry teacher pointed out that the triangle cannot be equilateral since side AC is not equal to AB. 

Which statement best explains why the measurements are incorrect?

[removed] Segment AB is 6 + 9 + 6 = 21.

[removed] Segment AB is 6 + 3 + 6 = 15.

[removed] Segment AB ˜ 6 + 6.7 + 6 ˜ 18.7.

[removed] Segment AB ˜ 6 + 10.8 + 6 ˜ 22.8.

 


 

Question 58 (Multiple Choice Worth 4 points)

(4.03 MC) <object:standard:ma.912.t.2.1>
The figure shows a weather balloon at point P. 

A right triangle PQR is drawn with right angle at angle PRQ. Angle PQR is 32 degrees and QR is 5 miles in length. 
How high is the point P of the weather balloon from a point R on the ground?

[removed] 5 by sec 32 degrees miles

[removed] 5 by cot 32 degrees miles

[removed] 5 cosec 32° miles

[removed] 5 cot 32° miles

 


 

Question 59 (Multiple Choice Worth 4 points)

(10.04 HC) <object:standard:ma.912.g.3.4>

In a quadrilateral ABCD, the diagonals intersect at point T. The opposite sides are parallel. All sides are congruent. 

Based on the given conditions, which statement is presented first to show that segment AT is congruent to segment TC?

[removed] Angle CDB is congruent to angle BAC.

[removed] Angle CDB is congruent to angle ABD.

[removed] Side BC is congruent to diagonal AC.

[removed] Side AB is congruent to diagonal DB.

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