Geometry EOC Packet 1 Congruence Similarity Constructions Part 1

1. Quadrilateral TWNB and RDHY are shown.

It is given that TWNB≅RDHY, NW=3x,  RD=5x-19.6, 

RY=2x+5.6,  HD=5x-14 , TW=3x-5.6,  and BN=x+4.8.

Part A. For what value of x are the triangles congruent?

• 6.1

• 5.6

• 7

• 8.4

Tags

CCSS.HSG.CO.B.7

1. Quadrilateral TWNB and RDHY are shown.

It is given that TWNB≅RDHY, NW=3x,  RD=5x-19.6, 

RY=2x+5.6,  HD=5x-14 , TW=3x-5.2,  and BN=x+4.8.

Part B. Determine the perimeter of quadrilateral 

TWNB

• 60.1

• 67.8

• 55.6

• 81

Tags

CCSS.HSG.CO.B.7

2. The diagram below models the layout at the county fair. Suppose the two triangles in the diagram are similar.

How far is the park entrance from the rides?

• 80 yards

• 100

• 112

• 125 yards

Tags

CCSS.HSG.SRT.A.2

2. The diagram below models the layout at the county fair. Suppose the two triangles in the diagram are similar.

How far are the rides from the refreshment area?

• 240

• 140

• 112

• 252

Tags

CCSS.HSG.SRT.A.2

3. Quadrilateral KLMN is rotated 180° counterclockwise about the origin to produce quadrilateral K'L'M'N'.

Write the algebraic rule for the rotation.

• (x,y)->(-x,-y)

• (x,y)->(y,x)

• (x,y)->(-y,x)

• (x,y)->(y,-x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

4. If a triangle is reflected across the x-axis and then rotated 90° counter-clockwise about the origin, which statement below is TRUE?

• The angles of the triangle increase in measures, but the side lengths remain the same.

• Both the angles and the side lengths of the triangle remain the same measures.

• Both the angles and the side lengths of the triangle increase in measures.

• The angles of the triangle remain the same, but the side lengths increase in measures.

Tags

CCSS.8.G.A.3

5. Triangles BHR and DNW are shown on the coordinate grid.

Complete the statements.

The sequence of transformations that maps 

HRB to Triangle DNW is a dilation of scale factor ___________ centered at the origin then a translation _____________________________________.

• scale factor: 3/4

  (x,y)->(x+9, y-2)

• scale factor: 3/4

  (x,y)->(x-2, y+9)

• scale factor: 5/4

  (x,y)->(x+9, y-2)

• scale factor: 5/4

  (x,y)->(x-2, y+9)

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

5. Triangles BHR and DNW are shown on the coordinate grid.

Because this sequence includes a dilation, the mapping will show that the sides of the triangles are __________ with the same scale factor as the dilation and the angles of the triangles are ____________.

• sides: congruent

  angles: congruent

• sides: similar

  angles: similar

• sides: congruent

  angles: similar

• sides: similar

  angles: congruent

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

6. Perform the following sequence of transformations on the triangle DEF on the coordinate plane.

Rotate 90˚ counterclockwise about the origin.

Then, translate horizontally 2 units to the left and vertically 3 units up.

• 
• 
• 
• 

Tags

CCSS.8.G.A.3