District Interim Practice Test

If point A is at (3,4) and I rotate 90 degrees counterclockwise around the origin, plot where A' would be.

If I reflect A (-5,4) vertically and then horizontally to end at A' (-2,-8), what would the vertical line of reflection equal?

(a)  

If I reflect A (-5,4) vertically and then horizontally to end at A' (-2,-8), what would the horizontal line of reflection equal?

(a)  

There is a triangle on the coordinate plane A (2,3), B (-1,4), C (0,2). If this triangle is translated following the rule (x,y) -> (x+2, y-1), what are the coordinates of the image (in A',B',C' order)

(a)  

True/False -Two triangles sharing two angles and one side are congruent?

• True

• False

True/False -Two triangles sharing three congruent angles can have a rigid transformation to prove its congruence.

• True

• False

Given that LM and PN are parallel and O is the midpoint of PM, mark all of the congruences on this image.

If my translation says (x,y)->(-x,y+2), then

• I would need to reflect over the x axis, then translate up 2

• I would need to reflect over the y axis, then translate down 2

• I would need to reflect over the x axis, then translate down 2

• I would need to reflect over the y axis, then translate up 2

Describe the series of transformations that can transform A to B and prove congruence.

Hint ( point to point, line to line, shape to shape)

Prove these triangles to be congruent:​

AB is congruent to AC - Reason: ​ (a)  

AD bisects BC - Reason: ​ (b)  

AD is congruent to DA - Reason: ​ (c)  

BD is congruent to DC - Reason ​ (d)  

ABD is congruent to ADC - Reason ​ (e)  

• Given
• Reflexive Property
• Definition of bisect
• SSS Postulate
• SAS Postulate
• Definition of midpoint