Unit 2, Lesson 1

Congruent Parts, Part 1

Geometry

Practice

Problem 1

When rectangle is reflected across line , the image is . How do you know that segment is congruent to segment ?

<p>Rectangle ABCD is reflected across line EF creating rectangle CDEF.</p>

Practice

A rectangle has 2 pairs of parallel sides.
Any 2 sides of a rectangle are congruent.
Congruent parts of congruent figures are corresponding.
Corresponding parts of congruent figures are congruent.

Problem 2

Triangle is the image of isosceles triangle after a reflection across line . Select all the statements that are a result of corresponding parts of congruent triangles being congruent.

<p>Triangle FGH is the image of isosceles triangle FEH after a reflection across line HF.</p>

is a rectangle.

Problem 3

Reflect right triangle across line . Classify triangle according to its side lengths. Explain how you know.

<p>Triangle A B C. Angle B is a right angle.</p>

Problem 4

ForLesson 21: One Hundred Eighty

Triangles and are translations of triangle .

<p>Large triangle BFE has small triangle ADC at its midpoints.</p>

Select all the statements that must be true.

Points , , and are collinear.

Problem 5

ForLesson 21: One Hundred Eighty

Triangle is congruent to triangles and .

<p>Trapezoid DECB base BC and point A midpoint of DE making triangle ABC.</p>

Explain why points , , and are collinear.
Explain why line is parallel to line .

Problem 6

ForLesson 18: Practicing Point-by-Point Transformations

Identify a figure that is the result of a rigid transformation of quadrilateral .
Describe a rigid transformation that would take to that figure.

has 4 congruent sides.

Diagonal bisects angles and .

Diagonal is perpendicular to side .

Angle is congruent to angle .

The measure of angle is the same as the measure of angle .

Line is parallel to line .

The measure of angle is the same as the measure of angle .

Triangle is a reflection of triangle .

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Congruent Parts, Part 1

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6