Regents Geometry Review for Midterm

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

• 26

• 38

• 52

• 64

Tags

CCSS.HSG.CO.C.10

Which statement is not correct?

Tags

CCSS.HSG.CO.C.10

The diagram shows ABCD mapped onto WXYZ by a reflection over the y-axis. If $m\angle A\ =\ 57\degree$  ,  $m\angle B\ =\ 123\degree$  , and $m\angle Y\ =\ 70\degree\$   Find the  $m\angle Z$  

• 57

• 123

• 70 

• 110

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which sequence of transformations maps quadrilateral MATH to M"A"T"H"?

• rotation followed by a reflection

• translation followed by a reflection

• translation followed by a rotation

• reflection followed by a dilation

Tags

CCSS.8.G.A.3

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