Geometry Quarter 1 Benchmark

A line contains two distinct points X and Y. Select each correct statement.

• There is only one line that passes through X and Y.

• The distance from X to Y is the same as Y to X.

• The line continues forever.

• There is a finite (countable) number of points on the line.

Tags

CCSS.HSG.CO.A.1

Lines m and n are parallel. Which of the following statements are true regarding lines m and n? Select two that apply:

• Lines m and n intersect at a single point

• Lines m and n never intersect

• Lines m and n have the same slope

• Lines m and n form four right angles

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

• 6, 44

• 5, 86

• 6, 88

• 5, 43

Points E, F and G are all on the same line, with F between E and G. EF = 3w + 15, FG = 6w+25 and EG =112, find the value of w and the values for EF and FG (Hint: Sketch a picture and label correctly)

• w = 8, EF = 73, FG = 39

• w = 8, EF = 72, FG = 40

• w = 8, EF = 39, FG = 73

• w = 6, EF = 33, FG = 79

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Name all angles which have smaller measurements than <GHF

• <AHB

• <BHC

• <DHF

• <CHD

Tags

CCSS.7.G.B.5

Mallory is investigating transformations in the coordinate plane. She makes the claims shown in the options below. Select each claim that is true for all points in the coordinate plane.

• A translation of 1 units right take the point (x,y) to (x+1,y)

• A reflection over the x-axis takes the point (x,y) to (-x,y)

• a reflection over the y-axis takes the point (x,y) to (-x,y)

• A rotation of 180 degrees clockwise about the origin takes the point (x,y) to (-y,x)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

Which shows a 270° rotation clockwise about the origin?

• 
• 
• 
• 

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

Right Triangle QRS is rotated by 90° clockwise about the origin (O) to create triangle Q’R’S’. Triangle Q’R’S’ is then rotated by 90° clockwise about the origin (O) to create Q”R”S”.

Based on the definition of rotation, Sam claims that the measure of angle SOS” is 90° since the angle of rotation is 90°.

Decide if Sam is correct. Write the correct measure of angle SOS”.

• Sam is correct. The triangle was rotated 90°

• Sam is incorrect. The triangle was rotated 180°

• Sam is incorrect. The triangle was rotated 360°

• Sam is incorrect. The triangle was rotated by some unknown angle.

Tags

CCSS.HSG.CO.A.4

CCSS.HSG.CO.B.6

Sarah claims she can map rectangle 1 to rectangle 2.

Select all the transformations or series of transformations that support her claim.

• a translation 7 units down followed by a 180° rotation about the point (0,3)

• a reflection over the line x = 1 followed by a reflection over the like y = 3

• a reflection over the line x=0 followed by a translation of 7 units down

• a translation of 7 units right and 7 units down

• a rotation of 180° about the point (0,3)

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

Describe the transformation that carries ΔXYZ to ΔX'Y'Z'

• A reflection across the y=x

• A reflection across the x-axis

• a rotation clockwise of 90°

• a rotation counterclockwise of 90°

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6