Download Enriched Pre-Algebra - Congruent Polygons (Chapter 6-5)

Enriched Pre­Algebra ­ Congruent Polygons (Chapter 6­5)
Course 3
Congruent Polygons6‐5 (a of b)
G1: Use proportional reasoning to describe and express relationships between parts and attributes of similar and congruent figures.
G4: Determine necessary conditions for congruence of triangles.
Polygons that have the EXACT same
size and shape are called
___________________ polygons. Remember that the parts of two
polygons that match or go together
2. Determine whether the trapezoids
shown are congruent. If so, name the
corresponding parts and write a congruence statement.
are called ___________________________.
So, if two polygons are congruent, then we know that their corresponding
______________ are _______________
and their corresponding _____________
are congruent. 1. Determine whether the triangles shown
are congruent. If so, name the corresponding parts and write a congruence statement.
3. In the figure, FGH QRS. Name the corresponding parts, means to name ALL of the corresponding parts‐ the ANGLES
AND THE SIDES!!!! A. Find the measure of angle F: _______
B. Find the measure of angle S: _______
C. SR
D. QS
1
Enriched Pre­Algebra ­ Congruent Polygons (Chapter 6­5)
Course 3
Congruent Polygons6‐5 (a of b)
G1: Use proportional reasoning to describe and express relationships between parts and attributes of similar and congruent figures.
G4: Determine necessary conditions for congruence of triangles.
Polygons that have the EXACT same
size and shape are called
___________________ polygons. Remember that the parts of two
polygons that match or go together
2. Determine whether the trapezoids
shown are congruent. If so, name the
corresponding parts and write a congruence statement.
are called ___________________________.
So, if two polygons are congruent, then we know that their corresponding
______________ are _______________
and their corresponding _____________
are congruent. 1. Determine whether the triangles shown
are congruent. If so, name the corresponding parts and write a congruence statement.
3. In the figure, FGH QRS. A. Find the measure of angle F: _______
Name the corresponding parts, means to name ALL of the corresponding parts‐ the ANGLES
AND THE SIDES!!!! B. Find the measure of angle S: _______
C. SR
D. QS
2
Enriched Pre­Algebra ­ Congruent Polygons (Chapter 6­5)
Course 3
Congruent Polygons6‐5 (a of b)
G1: Use proportional reasoning to describe and express relationships between parts and attributes of similar and congruent figures.
G4: Determine necessary conditions for congruence of triangles.
Polygons that have the EXACT same
size and shape are called
___________________ polygons. Remember that the parts of two
polygons that match or go together
2. Determine whether the trapezoids
shown are congruent. If so, name the
corresponding parts and write a congruence statement.
are called ___________________________.
So, if two polygons are congruent, then we know that their corresponding
______________ are _______________
and their corresponding _____________
are congruent. 1. Determine whether the triangles shown
are congruent. If so, name the corresponding parts and write a congruence statement.
3. In the figure, FGH QRS. A. Find the measure of angle F: _______
Name the corresponding parts, means to name ALL of the corresponding parts‐ the ANGLES
AND THE SIDES!!!! B. Find the measure of angle S: _______
C. SR
D. QS
3
Enriched Pre­Algebra ­ Congruent Polygons (Chapter 6­5)
Course 3 Congruent Polygons‐ Triangles6‐5 (b of b)
G1: Use proportional reasoning to describe and express relationships between parts and attributes
of similar and congruent figures.
G4: Determine necessary conditions for congruence of triangles.
Now that we have learned about the congruence
of polygons‐ there’s even more that we can learn
about the congruence of one special polygon. There are certain ways that triangles can be congruent. What we cover today ONLY applies
to triangles‐ but it WILL make your life easier! _____________________________________
If three sides of one triangle are congruent to three sides of a second triangle, the two triangles are congruent. 1. Are these two triangles congruent? Explain.
_______________________________________
When you know the side length , then the next
angle measure, and the next side length of
two triangles are exactly the same, then you
know that those two triangles are congruent! 2. Are these two triangles congruent? Explain.
If two sides and the included angle are
congruent to two sides and the included
angle of a second triangle, the two triangles are congruent.
________________________________
3. Are these two triangles congruent? Explain.
If two angles and the included side of one triangle are congruent to two angles
and the included side of another triangle,
the triangles are congruent.
4
Enriched Pre­Algebra ­ Congruent Polygons (Chapter 6­5)
Course 3 Congruent Polygons‐ Triangles6‐5 (b of b)
G1: Use proportional reasoning to describe and express relationships between parts and attributes
of similar and congruent figures.
G4: Determine necessary conditions for congruence of triangles.
Now that we have learned about the congruence
of polygons‐ there’s even more that we can learn
about the congruence of one special polygon. There are certain ways that triangles can be congruent. What we cover today ONLY applies
to triangles‐ but it WILL make your life easier! _____________________________________
If three sides of one triangle are congruent to three sides of a second triangle, the two triangles are congruent. 1. Are these two triangles congruent? Explain.
_______________________________________
When you know the side length , then the next
angle measure, and the next side length of
two triangles are exactly the same, then you
know that those two triangles are congruent! 2. Are these two triangles congruent? Explain.
If two sides and the included angle are
congruent to two sides and the included
angle of a second triangle, the two triangles are congruent.
________________________________
3. Are these two triangles congruent? Explain.
If two angles and the included side of one triangle are congruent to two angles
and the included side of another triangle,
the triangles are congruent.
5
Enriched Pre­Algebra ­ Congruent Polygons (Chapter 6­5)
Course 3 Congruent Polygons‐ Triangles6‐5 (b of b)
G1: Use proportional reasoning to describe and express relationships between parts and attributes
of similar and congruent figures.
G4: Determine necessary conditions for congruence of triangles.
Now that we have learned about the congruence
of polygons‐ there’s even more that we can learn
about the congruence of one special polygon. There are certain ways that triangles can be congruent. What we cover today ONLY applies
to triangles‐ but it WILL make your life easier! _____________________________________
If three sides of one triangle are congruent to three sides of a second triangle, the two triangles are congruent. 1. Are these two triangles congruent? Explain.
_______________________________________
When you know the side length , then the next
angle measure, and the next side length of
two triangles are exactly the same, then you
know that those two triangles are congruent! 2. Are these two triangles congruent? Explain.
If two sides and the included angle are
congruent to two sides and the included
angle of a second triangle, the two triangles are congruent.
________________________________
3. Are these two triangles congruent? Explain.
If two angles and the included side of one triangle are congruent to two angles
and the included side of another triangle,
the triangles are congruent.
6
Enriched Pre­Algebra ­ Congruent Polygons (Chapter 6­5)
Course 3
Congruent Polygons6‐5 (a of b)
G1: Use proportional reasoning to describe and express relationships between parts and attributes of similar and congruent figures.
G4: Determine necessary conditions for congruence of triangles.
Polygons that have the EXACT same
size and shape are called
___________________ polygons. Remember that the parts of two
polygons that match or go together
2. Determine whether the trapezoids
shown are congruent. If so, name the
corresponding parts and write a congruence statement.
are called ___________________________.
So, if two polygons are congruent, then we know that their corresponding
______________ are _______________
and their corresponding _____________
are congruent. 1. Determine whether the triangles shown
are congruent. If so, name the corresponding parts and write a congruence statement.
3. In the figure, FGH QRS. Name the corresponding parts, means to name ALL of the corresponding parts‐ the ANGLES
AND THE SIDES!!!! A. Find the measure of angle F: _______
B. Find the measure of angle S: _______
C. SR
D. QS
7
Enriched Pre­Algebra ­ Congruent Polygons (Chapter 6­5)
Course 3 Congruent Polygons‐ Triangles6‐5 (b of b)
G1: Use proportional reasoning to describe and express relationships between parts and attributes
of similar and congruent figures.
G4: Determine necessary conditions for congruence of triangles.
_____________________________________
Now that we have learned about the congruence
of polygons‐ there’s even more that we can learn
about the congruence of one special polygon. There are certain ways that triangles can be congruent. What we cover today ONLY applies
to triangles‐ but it WILL make your life easier! If three sides of one triangle are congruent to three sides of a second triangle, the two triangles are congruent. 1. Are these two triangles congruent? Explain.
_______________________________________
When you know the side length , then the next
angle measure, and the next side length of
two triangles are exactly the same, then you
know that those two triangles are congruent! 2. Are these two triangles congruent? Explain.
If two sides and the included angle are
congruent to two sides and the included
angle of a second triangle, the two triangles are congruent.
3. Are these two triangles congruent? Explain.
________________________________
If two angles and the included side of one triangle are congruent to two angles
and the included side of another triangle,
the triangles are congruent.
8
Enriched Pre­Algebra ­ Congruent Polygons (Chapter 6­5)
9