8th Grade PSSA Practice Test (2020 - Geo & Stats)

Quadrilateral ABCD and quadrilateral A'B'C'D' are shown on the coordinate grid.

Which sequence of transformations could be used to map quadrilateral ABCD onto quadrilateral A'B'C'D'?

• a reflection across the x-axis, followed by a dilation centered at the origin with a scale factor of 0.5

• a dilation centered at the origin with a scale factor of 0.5, followed by a reflection across the y-axis

• a translation 4 units to the right, followed by a dilation centered at the origin with a scale factor of 0.5

• a rotation of 180° about the point (0, –0.5), followed by a dilation centered at the origin with a scale factor of 0.5

Tags

CCSS.8.G.A.3

Triangle ABC has vertices located at A(1, –4), B(4, –5), and C(2, –1) on a coordinate grid. Triangle ABC undergoes a transformation, resulting in triangle DEF with vertices located at D(–1, –4), E(–4, –5), and F(–2, –1). Which pair of expressions describes a transformation of triangle ABC to triangle DEF and identifies the correct relationship between the two triangles?

• transformation: reflection across the y-axis

  relationship: similar and congruent

• transformation: reflection across the y-axis

  relationship: similar, but not congruent

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

A triangular sign was moved. The new location of the sign is represented by the shaded triangle.

Which transformations could have been used to move the sign to the new location?

• reflection across BC and reflection across AC

• reflection across BC and translation 4 units right

• translation 4 units right and translation 4 units down

• rotation 180 degrees clockwise about C and translation 4 units right

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which coordinate plane shows that the shaded polygon is the image of the unshaded polygon after a 90° counterclockwise rotation about the origin?

• 
• 
• 
• 

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In the figure shown, triangle PQR is transformed to create triangle P'Q'R'.

Point S will be transformed the same way as triangle PQR. Which sentence could describe how point S will be transformed?

• Point S will be translated to (6, 0) and then rotated to (0, 6).

• Point S will be translated to (6, 0) and then rotated to (0, -6).

• Point S will be translated to (4, 3) and then reflected to (-4, 3).

• Point S will be translated to (4, 3) and then reflected to (4, -3)

Tags

CCSS.8.G.A.3

The side lengths of triangle ABC are listed below.

• AB = 7 mm

• AC = 12 mm

• BC = 6 mm

Which statement about triangle ABC is true?

• Angle A is a right angle.

• Angle B is a right angle.

• Angle C is a right angle

• Triangle ABC is not a right triangle.

Tags

CCSS.HSG.CO.C.10

Point R is located at (1, 2) on a coordinate grid. Point S is located at (4, –5) on the same coordinate grid. What is the distance from point R to point S, rounded to the nearest tenth?

• 3.2 units

• 4.6 units

• 7.6 units

• 10.0 units

Tags

CCSS.HSG.GPE.B.7

Jen walks straight across a rectangular park to school each morning. The dimensions of the park are shown.

Which measurement is closest to the distance Jen walks to school each morning?

• 86 yards

• 120 yards

• 3,500 yards

• 7,400 yards

Tags

CCSS.8.G.B.8

The diagonal of Andre’s rectangular TV screen is 39 inches. The width of his TV screen is 34 inches. Which measurement is closest to the height of Andre’s TV screen?

• 8.5 inches

• 19.1 inches

• 36.5 inches

• 51.7 inches

Tags

CCSS.8.G.B.8

In the grid shown, rectangle ABCD represents the location of a pool at a city park.

Anna swims in a straight line from corner A to corner C of the swimming pool. What is the distance, in meters, Anna swims?

• $\sqrt{22}$

• 7

• $\sqrt{65}$

• 11

Tags

CCSS.HSG.GPE.B.7