Name: 
 

Geometry - DQA # 2; 2008 - 2009



Short Answer
 

 1 

Estimate the area of the circle. Each square represents 23 square kilometers.
mc001-1.jpg
 

 2 

Two similar right triangles are shown below. What is the value of x?
mc002-1.jpgmc002-2.jpg
 

 3 

In triangle ABC, mc003-1.jpg is a right angle and mc003-2.jpg 45°. Find BC. If you answer is not an integer, leave it in simplest radical form.
mc003-3.jpg
 

 4 

Eric uses a ruler to measure the distance between the point on the compass and the pencil point to be 5 inches. Estimate the circumference of the circle she drew.
mc004-1.jpg
 

 5 

In the following figure, mc005-1.jpg. If mc005-2.jpg, mc005-3.jpg, and mc005-4.jpg, what is the measure of mc005-5.jpg?
mc005-6.jpg
 
 
Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
 

 6 

mc006-1.jpg
 

 7 

Mr. Lopez bought a Persian Rug that was 7 yards long. It had an area of 294 square feet.  What was the width of the rug?                             mc007-1.jpg
 

 8 

mc008-1.jpg
mc008-2.jpg
 

 9 

What is the name of the segment inside the large triangle?
mc009-1.jpg
 

 10 

Logan wants to enlarge an mc010-1.jpg photograph (as shown below) by tripling the lengths of each side. What effect will that have on the area of the photograph?
mc010-2.jpg
 
 
Explain why the triangles are similar. Then find the value of x.
 

 11 

mc011-1.jpg
 

 12 

mc012-1.jpg
 

 13 

What is the most precise name for quadrilateral ABCD with vertices A(–5, 1), B(–3, 4), C(5, 4), and D(3, 1)?
 

 14 

A triangle has sides with lengths of 12 units, 8 units, and 12 units. If the dimensions of the triangle are scaled by mc014-1.jpg, what will the new perimeter be?
 

 15 

What is the measure of mc015-1.jpg in Trapezoid LMNO?
mc015-2.jpg
 

 16 

Students in a carpentry class have created two similar triangular supports for a dog house, shown in the picture below. What is the measure of mc016-1.jpg?
mc016-2.jpg
 

 17 

Iris is gluing ribbon around the outside of the frame shown. About how many inches of ribbon does she need? Use 3.14 for p.
mc017-1.jpg
 

 18 

Name a median for mc018-1.jpg
mc018-2.jpg
 

 19 

Find the length of mc019-1.jpg, given that mc019-2.jpg is a median of the triangle and AC = 48.
mc019-3.jpg
 
 
Find the area. The figure is not drawn to scale.
 

 20 

mc020-1.jpg
 

 21 

mc021-1.jpg bisects mc021-2.jpg mc021-3.jpg and mc021-4.jpg Solve for x and find mc021-5.jpg The diagram is not to scale.
mc021-6.jpg
 

 22 

In the figure below, Triangle ABC is similar to Triangle JKL. What is the length of mc022-1.jpg?
mc022-2.jpgmc022-3.jpg
 

 23 

Given mc023-1.jpg mc023-2.jpg and mc023-3.jpg, find the length of QS and TV.
 

 24 

The length of the hypotenuse of a 30°-60°-90° triangle is 4. Find the perimeter.
 

 25 

ABCD is a parallelogram. If mc025-1.jpg then mc025-2.jpg The diagram is not to scale.
mc025-3.jpg
 

 26 

LMNO is a parallelogram. If NM = x + 18 and OL = 3x + 4 find the value of x and then find NM and OL.
mc026-1.jpg
 
 
Find the area of the circle to the nearest tenth.
 

 27 

mc027-1.jpg
 

 28 

The area of a square garden is 200 m2. How long is the diagonal?
 



 
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