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13Scale Down, Scale Up Unit
CMath Vo abulary corresponding angles: angles in the same position in a different figure
corresponding sides: sides that are in the same position in a different figure
2 . The pair of shapes are similar figures. Find the corresponding sides 2. Introduce the concepts and terminology of
corresponding sides and angles.
and angles. Build on the experience the students gained
from solving the last problem set. Counting
A Corresponding angles are angles that are the length of sides, then halving or doubling,
in the same position in a different figure. applies the principle of corresponding sides,
BC while adjusting for both the horizontal and
reduce enlarge A and D vertical offset of slanted sides applies the
B and E principle of corresponding angles.
D C and F Have students work in groups to solve the
problems.
EF Corresponding sides are sides that are in
the same position in a different figure. 2a. Asks students to recognize and identify
two angles and two sides of the similar
AB and DE triangles as corresponding sides and angles.
AC and DF
BC and EF 2b. Asks students to recognize two angles
and two sides of quadrilateral figures as
Remind students that the corresponding sides and angles can be found only when both corresponding angles and sides.
shapes are rotated in the corresponding forms.
a. D A and D
B and E
A
AB and DE
B CE BC and EF
F
b. E H B and F
D G D and H
A AD and EH
B C CD and GH
F
13. Scale Down, Scale Up 113
If students have difficulty with these formal concepts, return to the more graphical approach to
corresponding sides and angles in the first portion of this activity.
2a. 2b.
D EH
A AD
B CE F B CF G
Point out to students that what they are doing when they plot similar figures on a grid is implicitly using the
concepts of corresponding sides and angles. 6A Unit 13 187
13Scale Down, Scale Up Unit
CMath Vo abulary corresponding angles: angles in the same position in a different figure
corresponding sides: sides that are in the same position in a different figure
2 . The pair of shapes are similar figures. Find the corresponding sides 2. Introduce the concepts and terminology of
corresponding sides and angles.
and angles. Build on the experience the students gained
from solving the last problem set. Counting
A Corresponding angles are angles that are the length of sides, then halving or doubling,
in the same position in a different figure. applies the principle of corresponding sides,
BC while adjusting for both the horizontal and
reduce enlarge A and D vertical offset of slanted sides applies the
B and E principle of corresponding angles.
D C and F Have students work in groups to solve the
problems.
EF Corresponding sides are sides that are in
the same position in a different figure. 2a. Asks students to recognize and identify
two angles and two sides of the similar
AB and DE triangles as corresponding sides and angles.
AC and DF
BC and EF 2b. Asks students to recognize two angles
and two sides of quadrilateral figures as
Remind students that the corresponding sides and angles can be found only when both corresponding angles and sides.
shapes are rotated in the corresponding forms.
a. D A and D
B and E
A
AB and DE
B CE BC and EF
F
b. E H B and F
D G D and H
A AD and EH
B C CD and GH
F
13. Scale Down, Scale Up 113
If students have difficulty with these formal concepts, return to the more graphical approach to
corresponding sides and angles in the first portion of this activity.
2a. 2b.
D EH
A AD
B CE F B CF G
Point out to students that what they are doing when they plot similar figures on a grid is implicitly using the
concepts of corresponding sides and angles. 6A Unit 13 187
