Ch 8 Triangle Similarity and Properties

If two triangles are similar, what property do they share?

• They have equal areas.

• They have equal perimeters.

• Their corresponding angles are equal and their corresponding sides are proportional.

• They are congruent.

Given that triangles UVW and UDC are similar, if UV = 63, VW = 98, DC = 14, and DU = 3x, what is the value of x?

• 2

• 3

• 7

• 14

In the pair of similar triangles DEF and QRS, if DE = 27, EF = 33, QR = 9, and RS = x - 2, what is the value of x?

• 11

• 15

• 9

• 7

If triangles BQC and PQA are similar, and BC = 96, QC = 36, PA = 104, and QA = 39, what is the length of CP if CP = 21 and CA = 6x - 4?

• 20

• 21

• 22

• 24

Given triangles ABC and FED are similar, if AB = 72, BC = 7x - 3, and ED = 33, what is the value of x?

• 5

• 6

• 7

• 9

Are the triangles △FGH and △FUV similar? If so, how do you know they are similar?

• Yes, by AA similarity

• Yes, by SSS similarity

• No, they are not similar

• Yes, by SAS similarity

Are the triangles △FGH and △TUV similar? If so, how do you know they are similar?

• Yes, by AA similarity

• Yes, by SSS similarity

• No, they are not similar

• Yes, by SAS similarity

Are the triangles △DEF and △DVU similar? If so, how do you know they are similar?

• Yes, by SSS similarity

• Yes, by AA similarity

• No, they are not similar

• Yes, by SAS similarity

Are the triangles △QRS and △QFG similar? If so, how do you know they are similar?

• Yes, by SSS similarity

• Yes, by AA similarity

• No, they are not similar

• Yes, by SAS similarity

Are the triangles △CDE and △CRS similar? If so, how do you know they are similar?

• Yes, by AA similarity

• Yes, by SSS similarity

• No, they are not similar

• Yes, by SAS similarity