Step 1: Choose ONE of the following triangles complete the table below: 1. Obtuse Scalene Triangle Translation to prove SSS Congruence or 2. Isosceles Right Triangle Reflection to prove ASA Congruence or 3. Equilateral Equiangular Triangle Rotation to prove SAS Congruence Original Coordinate Point Transformation Rule Image Coordinate Points A( B( A'( Step 2: Graph both triangles below and Label the coordinate points Step 3: Show Congruency ***Only complete the work for the type of triangle you chose in step 1*** •If you chose Obtuse Scalene Triangle Translation to prove SSS Congruence, You must show all work with the distance formula and each corresponding pair of sides to receive full credit. • If you chose Isosceles Right Triangle Reflection to prove ASA Congruence,. You can use the distance formula to show congruency for the sides. To show an angle is congruent to a corresponding angle, use your compass and straightedge. (Hint: Remember when you learned how to copy an angle?) You must show all work with the distance formula for the corresponding pair of sides and your work for the corresponding angles to receive full credit. USE THE DISTANCE FORMULA to find the lengths of the sides: Video : bit.ly/Distanceformula d = /(22 - z1)° + (4½- )

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Step 1: Choose ONE of the following triangles complete the
table below:
1. Obtuse Scalene Triangle Translation to prove
SSS Congruence
or
2. Isosceles Right Triangle Reflection to prove ASA
Congruence
or
3. Equilateral Equiangular Triangle Rotation to prove
SAS Congruence
Original Coordinate Point Transformation Rule Image Coordinate Points
A(
B(
A'(
Step 2: Graph both triangles below and Label the coordinate
points
Step 3: Show Congruency
***Only complete the work for the type of triangle
you chose in step 1***
.If you chose Obtuse Scalene Triangle Translation to prove
SSS Congruence, You must show all work with the
distance formula and each corresponding pair of sides to
receive full credit.
•If you chose Isosceles Right Triangle Reflection to prove
ASA Congruence,. You can use the distance formula to
show congruency for the sides. To show an angle is
congruent to a corresponding angle, use your compass and
straightedge. (Hint: Remember when you learned how to
copy an angle?) You must show all work with the distance
formula for the corresponding pair of sides and your work
for the corresponding angles to receive full credit.
USE THE DISTANCE FORMULA to find the lengths of
the sides: Video : bit.ly/Distanceformula
d = V(22 - z1)° + (%2 – 4)*
USE THE SLOPE formula for angles Video :
rise
m
bit.ly/Slopeformula
run
Measurement from PrelmaanlCoaenondlinamanenpamant feam Image
Transcribed Image Text:Step 1: Choose ONE of the following triangles complete the table below: 1. Obtuse Scalene Triangle Translation to prove SSS Congruence or 2. Isosceles Right Triangle Reflection to prove ASA Congruence or 3. Equilateral Equiangular Triangle Rotation to prove SAS Congruence Original Coordinate Point Transformation Rule Image Coordinate Points A( B( A'( Step 2: Graph both triangles below and Label the coordinate points Step 3: Show Congruency ***Only complete the work for the type of triangle you chose in step 1*** .If you chose Obtuse Scalene Triangle Translation to prove SSS Congruence, You must show all work with the distance formula and each corresponding pair of sides to receive full credit. •If you chose Isosceles Right Triangle Reflection to prove ASA Congruence,. You can use the distance formula to show congruency for the sides. To show an angle is congruent to a corresponding angle, use your compass and straightedge. (Hint: Remember when you learned how to copy an angle?) You must show all work with the distance formula for the corresponding pair of sides and your work for the corresponding angles to receive full credit. USE THE DISTANCE FORMULA to find the lengths of the sides: Video : bit.ly/Distanceformula d = V(22 - z1)° + (%2 – 4)* USE THE SLOPE formula for angles Video : rise m bit.ly/Slopeformula run Measurement from PrelmaanlCoaenondlinamanenpamant feam Image
for the corresponding angles to receive full credit.
USE THE DISTANCE FORMULA to find the lengths of
the sides: Video : bit.ly/Distanceformula
d = V(22 - 21)° + (½ – y1 )²
USE THE SLOPE formula for angles Video:
rise
bit.ly/Slopeformula
run
Measurement from Pre-Image Corresponding measurement from Image
•If you chose Equilateral Equiangular Triangle Rotation
to prove SAS Congruence, use the coordinates of your
rotation to show that the two triangles are congruent by the
SAS postulate. You can use the distance formula to show
congruency for the sides, use your compass and
straightedge. (Hint: Remember when you learned how to
copy an angle?) You must show all work with the distance
formula for the corresponding pair of sides and your work
for the corresponding angles to receive full credit.
Step 4: Reflections:
***Only answer the group of questions for the
type of triangle you chose in step 1***
Group 1 -Obtuse Scalene Triangle Translation to prove SSS
Congruence
1. Describe the translation you performed on the original
triangle. Use details and coordinates to explain how the
figure was transformed, including the translation rule you
applied to your triangle.
2. What other properties exist in your triangle? Discuss at
least two theorems you learned about in this module that
apply to your triangle. Make sure to show evidence by
discussing your triangle's measurements.
3. Did your triangle undergo rigid motion? Explain why.
Group2- Isosceles Right Triangle Reflection to prove ASA
Congruence
Transcribed Image Text:for the corresponding angles to receive full credit. USE THE DISTANCE FORMULA to find the lengths of the sides: Video : bit.ly/Distanceformula d = V(22 - 21)° + (½ – y1 )² USE THE SLOPE formula for angles Video: rise bit.ly/Slopeformula run Measurement from Pre-Image Corresponding measurement from Image •If you chose Equilateral Equiangular Triangle Rotation to prove SAS Congruence, use the coordinates of your rotation to show that the two triangles are congruent by the SAS postulate. You can use the distance formula to show congruency for the sides, use your compass and straightedge. (Hint: Remember when you learned how to copy an angle?) You must show all work with the distance formula for the corresponding pair of sides and your work for the corresponding angles to receive full credit. Step 4: Reflections: ***Only answer the group of questions for the type of triangle you chose in step 1*** Group 1 -Obtuse Scalene Triangle Translation to prove SSS Congruence 1. Describe the translation you performed on the original triangle. Use details and coordinates to explain how the figure was transformed, including the translation rule you applied to your triangle. 2. What other properties exist in your triangle? Discuss at least two theorems you learned about in this module that apply to your triangle. Make sure to show evidence by discussing your triangle's measurements. 3. Did your triangle undergo rigid motion? Explain why. Group2- Isosceles Right Triangle Reflection to prove ASA Congruence
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