In below, is drawn such that , and .
Is similar to ? Explain why.
The student gave a complete and correct response.
In the diagram below of is a point on , and is a point on , such that .
If , and , what is the length of ?
The line is transformed by a dilation centered at the origin. Which linear equation could represent its image?
A line that passes through the points whose coordinates are and is dilated by a scale factor of 3 and centered at the origin. The image of the line
On the set of axes below, the endpoints of have coordinates and . If is dilated by a scale factor of 2 centered at , what are the coordinates of the endpoints of its image, ?
The image of after a dilation of scale factor centered at point is , as shown in the diagram below. Which statement is always true?
As shown in the diagram below, and intersect at , and . Given , which equation is true?
The area of is . A second triangle, , is formed by connecting the midpoints of each side of . What is the area of , in square centimeters?
Answer all 7 questions in this part. Each correct answer will receive 2 credits. Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs, charts, etc. Utilize the information provided for each question to determine your answer. Note that diagrams are not necessarily drawn to scale. For all questions in this part, a correct numerical answer with no work shown will receive only 1 credit. All answers should be written in pen, except for graphs and drawings, which should be done in pencil.
Triangle is the image of triangle after a dilation with a scale factor of and centered at point . Is triangle congruent to triangle ? Explain your answer.
Determine and state the area of triangle , whose vertices have coordinates , and .
A support wire reaches from the top of a pole to a clamp on the ground. The pole is perpendicular to the level ground and the clamp is 10 feet from the base of the pole. The support wire makes a angle with the ground. Find the length of the support wire to the nearest foot.
In the diagram below, circle has a radius of 10 .
If , find the area of shaded sector , in terms of .
On the set of axes below, .
Describe a sequence of rigid motions that maps onto .
In right triangle , altitude is drawn to hypotenuse , and .
Determine and state, to the nearest tenth, the length of .
Given circle with radius , use a compass and straightedge to construct an equilateral triangle inscribed in circle . [Leave all construction marks.]
In the diagram below, triangle has points and on sides and , respectively, such that , and .
What is the length of , to the nearest tenth?