Triangles ABE, ADE, and CED are shown on the coordinate grid, and all the vertices have coordinates that are integers. Which statement is true?

All three triangles are congruent

Only ∆ABE and ∆ADE are congruent

Only ∆ABE and ∆CED are congruent

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 similar, but not congruent

The two triangles are congruent, but not similar.

The two triangles are similar and congruent

The two triangles are neither similar or congruent.

Triangle RST and triangle R 1 S 1 T 1 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 1 unit to the right and 3 units up and then a reflection across the y-axis

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

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?

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 reflected about the y-axis.

Triangle ABC is rotated 180° clockwise.

Triangle ABC is translated 6 units right and 2 units down.

Triangle ABC is reflected about the x-axis.

Congruent Triangles Coordinate Grid

Quiz

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

8.G.A.2, HSG.SRT.A.2, 8.G.A.3

+5

Standards-aligned

Anthony Clark

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

5.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Based on the diagram below, find the length of TR.

Tags

CCSS.HSG.SRT.A.2

6.

FILL IN THE BLANK QUESTION

1 min • 1 pt

Find the length of DF.

Tags

CCSS.HSG.SRT.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve for X

X = 77

X = 84

X = 66

X = 76

Tags

CCSS.HSG.SRT.A.2

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

15 questions

Multiplying powers

Quiz

•

8th - 11th Grade

15 questions

Inverse of functions

Quiz

•

7th - 8th Grade

18 questions

Percentage of Amount, Increase/Decrease and Change (Calc)

Quiz

•

7th - 10th Grade

20 questions

Linear Equations: Graphing from Standard Form and Slope Inte

Quiz

•

8th - 9th Grade

15 questions

Independent Tree Diagrams

Quiz

•

5th - 9th Grade

20 questions

Ujian Matematika Kelas 8

Quiz

•

8th Grade

20 questions

quiz 3

Quiz

•

7th Grade - University

18 questions

Pengetahuan Umum Matematik

Quiz

•

7th - 12th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

54 questions

Analyzing Line Graphs & Tables

Quiz

•

4th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

Discover more resources for Mathematics

14 questions

finding slope from a graph

Quiz

•

8th Grade

20 questions

Laws of Exponents

Quiz

•

8th Grade

12 questions

8th U5L9 Linear Models

Quiz

•

8th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

20 questions

Volume of cylinders, Cones and Spheres

Quiz

•

8th Grade

20 questions

One Step equations addition and subtraction

Quiz

•

5th - 8th Grade

20 questions

Mean, Median, Mode, and Range

Quiz

•

8th Grade

15 questions

Volume of a Cylinder

Quiz

•

8th Grade

Congruent Triangles Coordinate Grid

20 questions

Two triangles are shown on the coordinate grid. Which sequence of transformations shows that ΔABC≅ΔDEF

Two triangles are shown on the coordinate grid. Which sequence of transformations shows that \Delta ABC\cong\Delta DEF

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?

Based on the diagram below, find the length of TR.

Find the length of DF.

Solve for X

Triangles ABE, ADE, and CED are shown on the coordinate grid, and all the vertices have coordinates that are integers. Which statement is true?

Which pair of triangles drawn on the grid above are apparently congruent?

What makes this true?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics