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9-12 Integrated Math 1 Unit 2 Lesson 2

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•Integrated Math 1 Integrated Math 2 Integrated Math 3

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Unit 2, Lesson 2

Congruent Parts, Part 2

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Integrated Math 1

Practice

Problem 1

Line is a line of symmetry for figure . Noah says that is congruent to because sides and are corresponding.

Why is Noah’s congruence statement incorrect?
Write a correct congruence statement for the pentagons.

<p>Figure A X P D Z H M S. 8 sides. Line of symmetry S D is drawn.</p>

Problem 2

FIgure is the image of figure after being rotated 90 degrees counterclockwise around point . Draw a segment in figure to create a quadrilateral. Draw the image of the segment when rotated 90 degrees counterclockwise around point .

Write a congruence statement for the quadrilateral you created in figure and the image of the quadrilateral in figure .

<p>L shaped figure.</p>

Problem 3

Triangle is the image of triangle after a 180-degree rotation around point . Select all statements that must be true.

<p>Triangle HEF is the image of triangle FGH after a 180 degree rotation about point K.</p>

Triangle is congruent to triangle .

Problem 4

ForLesson 1: Congruent Parts, Part 1

When triangle is reflected across line , the image is triangle . Why are segment and segment congruent?

<p>Triangle ACD with altitude AB.</p>

Congruent parts of congruent figures are corresponding.
Corresponding parts of congruent figures are congruent.
An isosceles triangle has a pair of congruent sides.
Segment is a perpendicular bisector of segment .

Problem 5

ForLesson 1: Congruent Parts, Part 1

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>Figure FGHE with diagonal HF and sides HE and FE congruent.</p>

is a rectangle.

Problem 6

ForLesson 19: Now What Can You Build?

This design began from the construction of a regular hexagon.

Draw 1 segment so the diagram has another hexagon that is congruent to hexagon .
Explain why the hexagons are congruent.

<p>2 Hexagons and quadrilaterals.</p>

Triangle is congruent to triangle .

Angle is congruent to angle .

Angle is congruent to angle .

Segment is congruent to segment .

Segment is congruent to segment .

is a rhombus.

Diagonal bisects angles and .

Diagonal is perpendicular to side .

Angle is congruent to angle .

Angle is congruent to angle .