Congruent Similar Figures

All angles in similar figures are congruent.  

• True

• False

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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.A.2

Are the following similar? Why or why not?

• Yes. All pairs of corresponding angles are congruent.

• No, the corresponding angles are not equal.

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

Tags

CCSS.HSG.SRT.A.2

The pair of figures is similar. Find the missing side.

• x = 12

• x = 3

• x = 40

• x = 4

Tags

CCSS.HSG.SRT.A.2

As it relates to geometry, what does it mean for figures to be similar?

• corresponding sides are proportional and corresponding angles are congruent

• corresponding sides and angles are congruent

• angles are similar, and side lengths are the same, producing a figure that looks very close to another one.

• neither sides or angles are congruent

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

• 4m
• 5m
• 3m
• 4.5m

Tags

CCSS.HSG.CO.B.7

The pair of figures is similar. Find the missing side.

• x = 20

• x = 12

• x = 5

• x = 4

Tags

CCSS.HSG.SRT.A.2

All corresponding angles in congruent figures are congruent.  

• True

• False

Tags

CCSS.8.G.A.2

Triangle ABC is similar to triangle XYZ.

What is the perimeter of triangle XYZ in centimeters?

Mathematical Equivalence

ON

Triangle ABC is reflected across the x-axis on a coordinate plane and then dilated by a scale factor of 1.5 centered at (0, 0) to produce triangle DEF. 

Which statements are true about triangle ABC and triangle QRS?  Select all that apply.

• Triangle DEF has a smaller area

• Triangle DEF has a larger area

• The triangles are similar but not congruent

• The triangles are similar and congruent

• The triangles are neither similar nor congruent

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4