HW Solutions Practice 2-5
Transcript of HW Solutions Practice 2-5
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Chapter 2
Investigating Geometric Figures
2-6 Congruent and Similar Figures
Objective: Measure congruent and similar figures; Using properties of congruence and similarity
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HW Solutions Practice 2-5
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Solving proportions
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Marta is making a scale drawing of her bedroom. Her rectangular room is 12 feet wide and 15 feet long. On the scale drawing, the width of her room is 5
inches. What is the length?
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Congruent Figures
-- have exactly the same size and shape
** When 2 figures are congruent you can slide, flip, or turn one so that it fits exactly on the other one.
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Congruent Circles
-- have congruent radii
G HR
S
If GR = 9,
then HS = ____
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Congruent polygons
--have congruent corresponding parts
The matching angles and sides of congruent polygons are called corresponding parts.
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Matching vertices are called
corresponding vertices.
When you name congruent polygons, always list corresponding vertices in the same order.
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J
K
L
OM
N
JKL = MNOList the congruent corresponding parts.
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Similar Polygons
-- two figures that have the same shape but not necessarily the same size
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Two polygons are similar if:
-- corresponding angles are =
AND
-- corresponding sides are proportional
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Describing Similar Polygons
Identify the pairs of congruent angles and corresponding sides.
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Identifying Similar PolygonsDetermine whether the polygons are similar. If so, write the similarity ratio
and a similarity statement.
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Identifying Similar Polygons
Determine whether the polygons are
similar. If so, write the similarity ratio and a similarity statement.
72°56°
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Check It Out! Determine if ∆JLM ~ ∆NPS. If so, write the similarity ratio and a similarity statement.
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Hobby Application
Find the length of the model to the nearest tenth of a centimeter.
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Check It Out!
A boxcar has the dimensions shown. A model of the boxcar is 1.25 in. wide. Find the length of the model to the
nearest inch.
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HW # 30p. 105 # 2-28, 35-37,40-42
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