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Presentation transcript:

1) What is the volume of the cylinder. Use 3 1) What is the volume of the cylinder? Use 3.14 for π and round to the nearest whole number.

2) Find the volume of the cone. Use 3 2) Find the volume of the cone. Use 3.14 for π and round to the nearest cubic centimeter.

3) Alice is making a snowcone in the shape of a hemisphere for a friend. The radius of the circular base is 3.5 in. About how much ice will be needed to make the snowcone? Use 3.14 for π and round to the nearest tenth of an inch. Use the formula V = πr³ for the volume of a sphere.

4) The coordinates of the vertices of ΔQRS are Q(1,1), R(4,2) and S(2,5). The triangle is rotated 270° counterclockwise around the origin. What are the coordinates of the vertices of the rotated ΔQ'R'S'?

5) The coordinates of the vertices of ΔABC are A(1,3), B(4,4) and C(3,7). What are the coordinates of ΔA'B'C' of it is reflected across the x-axis?

6) The coordinates of the vertices of ΔKLM are K(4,-3), L(-1, -5) and M(-2, 2). The triangle is moved 5 spaces right and 4 spaces up. What are the coordinates of the vertices of the translated triangle, ΔK'L'M?'

7) The coordinates of the vertices of ΔEFG are E(-6, 6), F(-9, 4) and G(-4, -3). A dilation centered at the origin with a scale factor of ⅓ occurs. What are the coordinates of the vertices of the image of ΔE'F'G'?

8) The two triangles below are similar 8) The two triangles below are similar. The coordinates of the vertices of ΔABC are A(2,3), B(4,-1) and C(2,2). A pair of transformations results in ΔA''B''C'' with vertices at A''(9,-6), B''(-3,-12) and C''(6,-6). Which sequence of transformations maps ΔABC onto ΔA''B''C''? Assume that any dilations or rotations are centered about the origin.

9) The two triangles below are congruent 9) The two triangles below are congruent. Which sequence of transformations maps the white triangle onto the shaded triangle?

10) Find the value of the missing angles of the triangle.

11) Find the missing angle.

12) Lines x and y are parallel and are cut by the transversal b 12) Lines x and y are parallel and are cut by the transversal b. If the measure of angle 1 is 57°, find the measure of angle 6? 13) Using the figure in problem 12, which angles are not congruent? Explain a) angles 1 and 4 b) angles 1 and 8 c) angles 2 and 5 d) angles 2 and 6

14) Solve the system of equations. y = 3x – 1 y = -2x + 9

15) Solve the system of equations. x + y = 8 x + 3y = 14

17) Solve: 6(2x – 10) – 4x = 4