Milestone review Unit 1: Transformations and angle relationships Unit 3: Pythagorean theorem and volume

Identify the transformation:

Identify the transformation:

Identify the transformation:

Identify the transformation:

A triangle with points A(-3, 4), B(-7, 6) and C(-1, 9) is rotated 90˚counter-clockwise. Which quadrant contains the rotated figure?

Point W(-3, 8) is dilated using a scale factor of 3 Point W(-3, 8) is dilated using a scale factor of 3. What is the dilated point’s coordinates?

Given points A(22, -7) and A’(11, -3.5), determine the scale factor.

A triangle with points A(5, 9), B(2, 7), and C(1, 11) is reflected over the x-axis. What are the coordinates of the reflection?

Describe the movement of a figure if it is translated using the following rule: (x + 2, y – 5).

Name a pair of vertical angles:

alternate interior angles: Name a pair of alternate interior angles:

Name a pair of corresponding angles:

Find the missing angle measure:

Find x:

Find x:

Find the volume: Remember: 𝑽= 𝟏 𝟑 𝝅 𝒓 𝟐 𝒉 24 m

Find the volume: Remember: 𝑽=𝝅 𝒓 𝟐 𝒉

Find the volume: Remember: 𝑽= 𝟒 𝟑 𝝅 𝒓 𝟑

Which equation would you use to determine if a triangle with side lengths 5, 7, 8 is a right triangle? 𝟏𝟎+𝟏𝟒=𝟏𝟔 𝟖 𝟐 − 𝟕 𝟐 = 𝟔 𝟐 𝟖 𝟐 + 𝟔 𝟐 = 𝟕 𝟐 𝟓 𝟐 + 𝟕 𝟐 =𝟔𝟒

Daniel lost the key to his house Daniel lost the key to his house. There is a window 20 feet above the ground that he can climb through to get into the house. He has a 32 foot ladder. How far can he place the ladder from the house and still be able to reach the window? (Round to the nearest whole number) **Strategy – Draw a picture!

Find the length of the missing side. (Estimate to the nearest tenth.)

Find the length of the missing side.

Solve: 𝟓 𝒙 𝟐 =𝟕𝟐𝟎

Solve: 8 𝒙 𝟑 =𝟐𝟏𝟔

The volume of a cylinder is 𝟑𝟐𝟒𝝅 𝒇𝒕 𝟑 The volume of a cylinder is 𝟑𝟐𝟒𝝅 𝒇𝒕 𝟑 . If the height of the cylinder is 9 feet, what is its radius? Remember: 𝑽=𝝅 𝒓 𝟐 𝒉

How is the volume of a cone related to the volume of a cylinder with the same height and diameter?

Determine the length of the line segment Determine the length of the line segment. Round your answer to the nearest tenth.

The vertices of 3 squares are joined to form a right triangle The vertices of 3 squares are joined to form a right triangle. What is the area of the largest square?

The volume of a cylinder is 𝟗𝟑 𝒊𝒏 𝟑 The volume of a cylinder is 𝟗𝟑 𝒊𝒏 𝟑 . What is the volume of a cone with the same height and radius?

Reflection Dilation Rotation Translation Q𝐼𝐼𝐼 (3) W’(-9, 24) 1 2 A’(5, -9), B’(2, -7), C’(1, -11) Right 2, down 5 1, 4; 2, 3; 6, 7; 5, 8 3, 6; 4, 5 1, 5; 3, 7; 2, 6; 4, 8 23˚ x = 13 x = 3 16. V = 1230.88 𝑚 3 V = 1177.5 𝑓𝑡 3 V = 57876.48 𝑐𝑚 3 D b = 25 c = 5.4 x = 16 cm x = 12 x = 3 r = 6 ft. The volume of the cone is 1 3 the volume of the cylinder. c = 5.8 A = 121 𝑐𝑚 2 V = 31 𝑖𝑛 3