Part A
A circle has a center at (2, –3) and has a radius of 7. What is the correct equation for this circle?
(x – 2)2 + (y + 3)2 = 49
(x + 2)2 + (y – 3)2 = 49
(x – 2)2 + (y + 3)2 = 7
(x + 2)2 + (y – 3)2 = 7
The measure of the sides of triangles are given below. Which of the following triangles is similar to a triangle with sides 2.4, 7, and 7.4?
3, 8.75, 9
4, 8.4, 9.2
6, 17.5, 18.5
12, 14, 14.8
Part B
If it was not given that line a is parallel to line b, which statement would prove the two lines are parallel?
m∠1 = m∠4
m∠6 = m∠7
m∠7 + m∠8 = 180°
m∠4 + m∠6 = 180°
What are the coordinates for Point B that will partition the line segment so the ratio of AB to BC is 4 to 1?
(1.5, 6.5)
(2.5, 3)
(4.4, 4.8)
(1.4, 6.4)
Graph and label ∆A″B″C″ after ∆A′B′C′ is reflected over the y-axis.
Part C
Name a single transformation that will map ∆ABC unto ∆A″B″C″.
Match the solid figure to the description of its formation.
A. a circle that moved vertically through space will form a
The figure shows parallelogram ABCD on a coordinate plane. Diagonals AC and BD intersect at point E.
Find the coordinates of point C in terms of f, g, and h.
Find the length of AB.
52
25
35
53
Use the diagram of the circle below, with center C, to answer the following questions.
If the measure of AD⏜ = 115°, find m∠ACD.
