geometry unit 2 lesson 3 homework

Common Core Geometry Unit 2 Lesson 3 Reflections

High school / math / geometry.

emathinstruction

Aug 19, 2018

In this lesson we learn the technical definition of a line reflection and how it relates to a perpendicular bisector.

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Practice With Proportional Relationships

Quadrilateral \(ABCD\) is similar to quadrilateral \(A’B’C’D’\) . Select all  statements that must be true.

\(\frac{A’B’}{AB}=\frac{A’C’}{AC}\)

\(\frac{AD}{A’D’}=\frac{BC}{B’C’}\)

\(\frac{BD}{B’D’}=\frac{C’D’}{CD}\)

\(\frac{AB}{CD}=\frac{A’B’}{C’D’}\)

\(\frac{BC}{A’D’}=\frac{B’C’}{AD}\)

For access, consult one of our IM Certified Partners .

Lines  \(BC\) and \(DE\) are both vertical. What is the length of \(AD\) ?

The quilt is made of squares with diagonals. Side length \(AB\) is 2. 

• What is the length of \(BD\) ?
• What is the area of triangle \(AEH\) ? 

Description: <p><strong>Square A B C D composed of 16 triangles. Segments A C and B D drawn. Point H, midpoint of A B, Point G, midpoint of B C, Point F, midpoint of C D, Point E, midpoint of D A. Segments H F, G E, H E, H G, G F, and F E drawn.</strong></p>

Segment \(A’B’\) is parallel to segment \(AB\) . What is the length of segment \(BB'\) ?

Description: <p>Triangle A B C with point C to the right of side A B. Point B prime  lies on side B C and point A prime lies on side A C. Line segment A prime B prime  is drawn forming triangle A prime B prime C. A prime C is 6, A prime B prime is 5, B prime C is 7, A prime A is 3.</p>

Elena thinks length \(BC\) is 16.5 units. Lin thinks the length of \(BC\) is 17.1 units. Do you agree with either of them? Explain or show your reasoning. 

Mai thinks knowing the measures of 2 sides is enough to show triangle similarity. Do you agree? Explain or show your reasoning. 

Line  \(g\)  is dilated with a center of dilation at \(A\) . The image is line \(f\) . Approximate the scale factor.

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