Transformations of Figures, Angles, Pythagorean Theorem, Composite Figures

Side A of the triangle is a utility pole. Henry would like to know how long the guide wire, C, should be. The telephone pole is perpendicular to the ground. Henry knows that A = 20 ft and B = 15 ft. The length of the guide wire should be....? 

• 13 ft
• 25 ft
• 20 ft
• 15 ft

Tags

CCSS.8.G.B.8

A 13 foot ladder is leaning against a wall. If the point where the ladder meets the wall is 12 feet above the ground, how far from the base of the wall is the ladder?

• 5 ft
• 313 ft
• 18 ft
• 17 ft

Tags

CCSS.8.G.B.8

A rectangular park, with dimensions of 1500 feet by 2000 feet, has a diagonal walking path that goes from the top northeast corner to the bottom southwest corner. How long is the walking path?

• 6250000 ft
• 1323 ft
• 2500 ft
• 1750000 ft

Tags

CCSS.8.G.B.8

Find the distance between the two points (-4, -5) and (1, -2)

• √18
• √34
• √40
• √54

Tags

CCSS.HSG.GPE.B.7

If triangle MTV is reflected across the y-axis, what are the resulting coordinates of point M?

• (-2, 5)
• (-5, 2)
• (5, -2)
• (-2, -5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If triangle AED is dilated to points A, C, and B, which statement is true?

• Triangle AED is similar to Triangle ACB
• Triangle AED is congruent to Triangle ACB
• The area of Triangle AED is half the area of Triangle ACB
• The perimeter of Triangle AED is 1/4 the area of Triangle ACB

Tags

CCSS.8.G.A.3

A 200 ft wire is attached from the top of a tower to a point on the ground 40 ft from the base of the tower. Find the height of the tower to the nearest foot.

• 158 ft
• 160 ft
• 196 ft
• 384 ft

Tags

CCSS.8.G.B.8

Casey is traveling from the grocery store to the bank. There are two possible routes she can take, marked yellow and green in the diagram. Which statement is true?

• The yellow path is 1 mile longer than the green path
• The yellow path and green path are the same distance
• The green path is 2 miles shorter than the yellow path
• The green path is half the distance of the shorter path

Tags

CCSS.HSG.CO.C.11

Casey travels from her house directly west to the bank and then directly north rom the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 23 miles
• 17 miles
• 289 miles
• 40 miles

Tags

CCSS.8.G.B.8

If triangle ABC is dilated by a scale factor of 2 with a dilation center of A, what will be the coordinates of point B'

• (0, 0)
• (0, 3)
• (0, 4)
• (0, 6)

Tags

CCSS.8.G.A.3