Name:
Similar Figures Activity
Definition: Similar figures have the exact same shape, but they are not necessarily the
same size.
Features: If two figures are similar, then their corresponding angles are congruent, and
all pairs of corresponding sides have the same ratio. In other words, corresponding sides
are in proportion.
Pair 1:
a) List the pairs of corresponding angles: _____________________________________
b) Measure each angle and write its measurement on the figure.
c) List the pairs of corresponding sides: ______________________________________
d) Are the corresponding angles all equal? _____
e) Measure each side as carefully as you can in centimeters, to the nearest tenth. Write
the measurement along the side.
f) Make ratios out of the measurements for corresponding sides. Make sure the
measurement for the first figure is always on top of the ratio, and the measurement for the
second figure is on the bottom.
Ratios:
g) Check whether all the ratios you wrote in f are equal. You may use a calculator to
check. Are the ratios above all equal to each other? ______
If your answers to d and g are yes, then the two figures are similar.
h) Are the two figures similar? ______
i) If they are similar, write a math symbol sentence that says so. ___________________
Pair 2:
a) List the pairs of corresponding angles: _____________________________________
b) Measure each angle and write its measurement on the figure.
c) List the pairs of corresponding sides: ______________________________________
d) Are the corresponding angles all equal? _____
e) Measure each side as carefully as you can in centimeters, to the nearest tenth. Write
the measurement along the side.
f) Make ratios out if the measurements for corresponding sides. Make sure the
measurement for the first figure is always on top of the ratio, and the measurement for the
second figure is on the bottom.
Ratios:
g) Check whether all the ratios you wrote in f are equal. You may use a calculator to
check. Are the ratios above all equal to each other? ______
If your answers to d and g are yes, then the two figures are similar.
h) Are the two figures similar? ______
i) If they are similar, write a math symbol sentence that says so. ___________________
Pair 3:
a) List the pairs of corresponding angles: _____________________________________
b) Measure each angle and write its measurement on the figure.
c) List the pairs of corresponding sides: ______________________________________
d) Are the corresponding angles all equal? _____
e) Measure each side as carefully as you can in centimeters, to the nearest tenth. Write
the measurement along the side.
f) Make ratios out if the measurements for corresponding sides. Make sure the
measurement for the first figure is always on top of the ratio, and the measurement for the
second figure is on the bottom.
Ratios:
g) Check whether all the ratios you wrote in f are equal. You may use a calculator to
check. Are the ratios above all equal to each other? ______
If your answers to d and g are yes, then the two figures are similar.
h) Are the two figures similar? ______
i) If they are similar, write a math symbol sentence that says so. ___________________
Pair 4:
a) List the pairs of corresponding angles: _____________________________________
b) Measure each angle and write its measurement on the figure.
c) List the pairs of corresponding sides: ______________________________________
d) Are the corresponding angles all equal? _____
e) Measure each side as carefully as you can in centimeters, to the nearest tenth. Write
the measurement along the side.
f) Make ratios out if the measurements for corresponding sides. Make sure the
measurement for the first figure is always on top of the ratio, and the measurement for the
second figure is on the bottom.
Ratios:
g) Check whether all the ratios you wrote in f are equal. You may use a calculator to
check. Are the ratios above all equal to each other? ______
If your answers to d and g are yes, then the two figures are similar.
h) Are the two figures similar? ______
i) If they are similar, write a math symbol sentence that says so. ___________________