Geometry Rev #5

After a dilation $\overline{A'B'}$ is the image of  $\overline{AB}$ . If  $\overline{AB}=\ 6\ and\ \ \overline{A'B'}=\ 10\$  what is the scale factor of the dilation? 

•  $\frac{3}{5}$  

•  $\frac{5}{3}$  

• 2

•  $\frac{1}{2}$  

A rhombus has diagonals that are 10in and 24in. What is the perimeter of the rhombus

• 13 in

• 52 in

• 26 in

• 104 in

On the set of axes, rectangle ABCD has vertices A(6,2) B(6,10), C(10,10) and D(10, 2) and rectangle EFGH has vertices E(-1,3) F(-5,3) G(-5,5) and H(-1,5). Which sequence of transformations will map ABCD to EFGH?

• a dilation of ABCD by a scale factor of 2 centered at A

• a dilation of ABCD by a scale factor of $\frac{1}{2}$ centered at A

• a dilation of ABCD by a scale factor of 2 centered at the origin, followed by a rotation of $90\degree\ CCW$ centered at the origin.

• a dilation of ABCD by a scale factor of $\frac{1}{2}$ centered at the origin, followed by a rotation of $90\degree\ CCW$ centered at the origin.

What is an equation of the image of the line $y\ =\ \frac{3}{4}x+3$ after a dilation of a scale factor of  $\frac{2}{3}$  centered at the origin ?

•  $y\ =\ \frac{1}{2}x+\ 3$  

•  $y=\ \frac{1}{2}x\ +2$  

•  $y\ =\ \frac{3}{4}x\ +2$  

•  $y\ =\ \frac{3}{4}x+3$  

Tags

CCSS.8.G.A.3

The vertices of $\Delta DOG$  have coordinates D(-3, 2) O(0,0) and G(4,3). Under which transformation is the image  $\Delta D'O'G'$  not congruent to  $\Delta DOG$  ?

• a translation of 3 units left and 3 units down

• a counterclockwise rotation of  $180\degree$  around D. 

• a reflection over the y-axis

• a dilation with a scale factor of 3 centered at the origin

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Given right triangle ABC with a right angle at A, $m\angle B\ =\ 58\degree$ . Given right triangle PQR with a right angle at P,  $m\angle R\ =\ 32\degree$  . Which proportion  in relation to triangle ABC and PQR is not correct? 

•  $\frac{BC}{RQ}=\ \frac{RP}{AC}$  

•  $\frac{AB}{QP}=\ \frac{BC}{RQ}$  

•  $\frac{AB}{QP}=\frac{AC}{RP}$  

•  $\frac{BC}{AC}=\frac{RQ}{RP}$  

Which rotation about its center will map a regular octagon onto itself?

• 135

• 150

• 120

• 216

Tags

CCSS.HSG.CO.A.4

In the diagram, Which given information is sufficient to prove $\Delta ACB\cong\Delta ACD$  ?

•  $\overline{AB}\cong\overline{AD}$  

•  $\overline{AB}\cong\overline{AD}$  and  $\angle B\cong\angle D$  

•  $\overline{AC}$  bisects  $\angle BAD$  

•  $\overline{AC}$  bisects  $\angle BAD$  and  $\angle BCD$  

Tags

CCSS.HSG.SRT.B.5

Choose the correct scale factor:

• 2
• 3
• 1/3
• 1/2

Tags

CCSS.HSG.CO.A.2

State a sequence of rigid motions that would map Quad QRST onto Quad PLKJ.

• A reflection over the x-axis followed by a reflection over the y-axis

• A rotation 180 degrees followed by a translation 2 units to the right

• A reflection over the y-axis followed by a translation 7 units down

• A reflection over the x-axis followed by a translation 6 units to the right and 3 units down

Tags

CCSS.8.G.A.3