4.1-4.2 Similar Figures

Two polygons are similar if and only if their corresponding angles are ____________ and their corresponding side lengths are ____________________. 

• proportional, congruent
• congruent, congruent
• congruent, proportional
• supplementary, congruent

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Are the two rectangles similar?

• yes
• no

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

A triangle has sizes measuring 11 cm, 16 cm, and 16 cm. A similar triangle has sides measuring x cm, 24 cm, and 24 cm. What is x?

• x = 19 cm
• x = 24 cm
• x = 3 cm
• x = 16.5 cm

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

• ABC and DEF
• ABC and GHI
• DEF and GHI
• None

Tags

CCSS.HSG.SRT.A.2

Are the following similar? Why or why not?

• Yes
• No, the corresponding angles are not equal.
• No, the ratios of the corresponding sides are not equal.

Tags

CCSS.HSG.SRT.B.5

Determine which pair of rectangles is similar.

• RTCE ~ HIKW
• HIKW ~ QPNU
• RTCE ~ QPNU
• No pair is similar

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Segment JR corresponds to which side in triangle YDS?

• YD
• YS
• DS

Tags

CCSS.HSG.SRT.A.2

The proportion shown demonstrates the relationship between two similar triangles.  Write a similarity statement for the two triangles.

• Triangle EZT~ Triangle CAS
• Triangle TZE ~ Triangle CAS
• Triangle ZTE ~ Triangle CAS
• Triangle ZET ~ Triangle CAS

Tags

CCSS.HSG.SRT.A.2

If two figures do not have congruent angle pairs, what can you conclude about the      figures?  Do you need to measure any sides to determine similarity?

• They probably are not similar.  Measure sides to make sure.
• Angles do not determine similarity.  You must measure sides to know.
• The figures might be similar.  Measuring sides to see if there is a consistent ratio will tell for sure.
• The figures are not similar. No need to measure sides.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Are the two parallelograms similar?

• yes
• no

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6