WorksheetsCongruent Triangles Coordinate Grid
Total questions: 20
Worksheet time: 20mins
Two triangles are shown on the coordinate grid. Which sequence of transformations shows that ΔABC≅ΔDEF
Reflect △ABC across the x-axis, then translate it right 1
Reflect △ABC across the y-axis, then translate it right 1
Reflect △ABC across the x-axis, then translate it left 1
Reflect △ABC across the y-axis, then translate it left 1
Two triangles are shown on the coordinate grid. Which sequence of transformations shows that \Delta ABC\cong\Delta DEF
Reflect △ABC across the x-axis, then translate it down 1
Reflect △ABC across the x-axis, then translate it up 1
Reflect △ABC across the y-axis, then translate it down 1
Reflect △ABC across the y-axis, then translate it up 1
Two triangles are shown on the coordinate grid. Which sequence of transformation shows that ΔABC≅ΔDEF ?
Reflect △ABC across the x-axis, then translate it down 2
Reflect △ABC across the y-axis, then translate it down 2
Reflect △ABC across the x-axis, then translate it up 2
Reflect △ABC across the y-axis, then translate it up 2
Triangle EGF will be rotated 90° counterclockwise around the origin and will then be reflected across the x-axis, producing an image triangle. Which additional transformation will map the image triangle back onto the original triangle?
Reflection across the line y = -x
Reflection across the line y = x
Rotation 270° counterclockwise around the origin
Rotation 90° counterclockwise around the origin
Based on the diagram below, find the length of TR.
(a)
Find the length of DF.
(a)
Solve for X
X = 77
X = 84
X = 66
X = 76
Triangles ABE, ADE, and CED are shown on the coordinate grid, and all the vertices have coordinates that are integers. Which statement is true?
No two triangles are congruent
Only ∆ABE and ∆ADE are congruent
Only ∆ABE and ∆CED are congruent
All three triangles are congruent
Which pair of triangles drawn on the grid above are apparently congruent?
Triangle ABC and Triangle GHK
Triangle ABC and Triangle DEF
Triangle GHK and Triangle DEF
None
What makes this true?
∠C≅∠F
∠B≅∠D
AC ≅ EF
What makes this true?
∠C≅∠F
AB ≅ DE
AC ≅ DF
What could be the final reason in the proof below?
SAS
ASA
CPCTC
HL
For the given picture, point C is the midpoint of AD and BE. Which postulate can be used to prove triangle BAC congruent to triangle DEC?
SSS
ASA
SAS
HL
In the diagram:
What value of x would prove the triangles are congruent by SAS?
0
40
90
10
A triangle drawn on a coordinate grid is dilated by a scale factor of 5 about the origin. Which statement regarding the original triangle and the resulting image is correct?
The two triangles are congruent, but not similar.
The two triangles are similar, but not congruent
The two triangles are similar and congruent
The two triangles are neither similar or congruent.
What is congruence?
Same, but different
Same size, same shape
Same size
None of these
Triangle RST and triangle R1S1T1 are congruent. Both triangles are graphed on the coordinate grid shown.
Which sequence of transformations could be used to show the congruence between the triangles?
a translation 3 units up and then a translation 5 units to the right
a translation 2 units to the right and then a reflection across the y-axis
a reflection across the y-axis and then a translation 1 unit to the right and 3 units up
a translation 1 unit to the right and 3 units up and then a reflection across the y-axis
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
transformation: reflection across the line y = x
relationship: similar and congruent
transformation: reflection cross the line y = x
relationship: similar, but not congruent
Triangle XYZ is congruent to triangle X'Y'Z'. Which transformation maps triangle XYZ onto triangle X'Y'Z' showing that the triangles are congruent?
reflection across the x-axis
reflection across the y-axis
clockwise rotation by 90° about the origin
counterclockwise rotation by 90° about the origin
A sequence of transformations is applied on triangle ABC to obtain a congruent triangle A'B'C'. Which of these sequences are correct?
Triangle ABC is rotated 180° clockwise.
Triangle ABC is reflected about the y-axis.
Triangle ABC is translated 6 units right and 2 units down.
Triangle ABC is reflected about the x-axis.
