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- 1. Multiple Choice
The two triangles are similar. Identify the scale factor of the dilation from the larger triangle to the smaller triangle.
0.40
0.60
2.5
250
- 2. Multiple Choice
Figure A and figure B are similar. Which sequence of transformations maps figure A to figure B?
(x,y) > (2x, 2y) followed by (x, y) > (-x, y)
(x, y) > (2x, 2y) followed by (x, y) > (x, -y)
(x, y) > (1/2 x, 1/2 y) followed by (x, y) > (-x, y)
(x, y) > ( 1/2 x, 1/2 y) followed by (x, y) > (x, -y)
- 3. Multiple Choice
In the triangle, m<1 = 42° and m<4 = 81°. What is m<2?
39
42°
99°
123°
- 4. Multiple Choice
Davina uses the diagram to demonstrate the Pythagorean Theorem. How are the squares related to the sides of the triangle?
The area of each square is equal to the square of the length of the side to which it is adjacent.
The area of each square is equal to the length of the side to which it is adjacent.
The sum of the areas of the squares is equal to the square of the perimeter of the triangle.
The perimeter of each square is twice the length of the side of the triangle squared.
- 5. Multiple Choice
State the converse of the Pythagorean Theorem.
The sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.
If the sum of the squares of the lengths of the legs of a triangle is equal to the square of the length of the hypotenuse, then the triangle is a right triangle.
If the sum of the squares of the two shortest sides of a triangle is greater than the square of the length of the third side, then the triangle is an acute triangle.
If the sum of the squares of the two shortest sides of a triangle is less than the square of the length of the third side, then the triangle is an obtuse triangle.
- 6. Multiple Choice
A square has a perimeter of 20 inches. What is the distance from one corner of the square to the opposite corner? Which sketch draws the square and correctly solves for the distance from one corner to the opposite corner? (Hint: find c!)
- 7. Multiple Choice
Firefighters just arrived at the Farquand building with a rescue truck. Mr. Farquand is stuck on a window ledge 44 feet directly above the top of the truck. The base of the ladder is a horizontal distance of 33 feet away from the building. Using the Pythagorean Theorem, determine how long the ladder must extend to reach Mr. Farquand. (Hint: find c!)
55 feet
44 feet
3, 025 feet
77 feet
- 8. Multiple Choice
Every morning, Cho rides his bicycle from his house to the park and then back to his house. He takes the same route in both directions. His route is shown on the coordinate plane, where each unit represents 1 mile. How far does Cho ride every morning? Round your answer to the nearest tenth of a mile. (Hint: from Oak street to his house, that is c!)
5.0 miles
5.4 miles
10.4 miles
20.8 miles
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