Corresponding Parts in Geometry
Grade 8 math worksheet focusing on identifying and using corresponding parts of congruent and similar figures.
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Corresponding Parts in Geometry
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. If two triangles are congruent, what can be said about their corresponding angles and sides?
Only corresponding angles are equal.
Only corresponding sides are equal.
Both corresponding angles and sides are equal.
They are similar but not congruent.
2. If two figures are similar, what is true about their corresponding angles?
They are all equal.
They are proportional.
They are supplementary.
They sum to 180 degrees.
3. If two polygons are similar, their corresponding sides are .
4. Congruent figures have the exact same and .
5. Consider two triangles, ΔABC and ΔXYZ, where ΔABC ≅ ΔXYZ. List all pairs of corresponding angles and corresponding sides.
6. Observe the two similar rectangles below. If rectangle ABCD has a length of 8 units and a width of 4 units, and rectangle EFGH has a length of 12 units. What is the width of rectangle EFGH?
7. All squares are similar.
True
False
8. All rectangles are congruent.
True
False
Match the term on the left with its definition on the right.
9. Congruent Figures
a. Figures that have the same shape but different sizes.
10. Similar Figures
b. Parts that are in the same relative position in congruent or similar figures.
11. Corresponding Parts
c. Figures that have the same size and same shape.