practice
1. duplicate each angle using construction tools.
2. inscribe a hexagon inside a circle. explain your process.
3. construct a square inscribed in a circle. then, explain how you know the figure is a square, and how
you know it is inscribed.
4. construct the angle bisector of each given angle.
a.
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5. construct a 15° angle using only a compass and straightedge. summarize your steps.
6. inscribe an equilateral triangle inside a circle. explain your process.
stretch
structions you could use to construct an angle with a measure of 45° using
determine two different constructions you could use to constru
ishtedge summarize the processes and show both constructions.
only a compass and straightedge. summarize the processes

The triangles are similar. what is the value of x? enter your answer in the box. x = two right triangles. the larger right triangle is labeled x on the longer leg, 12 on the shorter leg and 20 on the hypotenuse. the smaller triangle is labeled 4 on the longer leg, 3 on the shorter leg, and 5 on the hypotenuse.

Consider the expression below. 9 + 4(x + 2) – 3.1 select the term that best describes "3" in the given expression. o a. coefficient variable exponent constant

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.