5-5: Congruent Shapes

If ∆ JOR ≅ ∆ DAN, what is true about the corresponding angles?

• <J ≅ <D; <O ≅ <A; <R ≅ <N

• <J ~ <D; <O ~ <A; <R ~ <N

• <J ≅ <N; <O ≅ <A; <R ≅ < D

• <J ~ <N; <O ~ <A; <R ~ < D

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

ΔABD ≅ ΔABC

What is the length of AD?

• 10

• 11

• 14

• 15

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

In the figure below, ▵GFE ⩭ ▵DCB.

Determine the perimeter of ▵GFE

• 63

• 53

• 58

• 68

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5

Cody has 2 pieces of flooring pictured below.

If △SPR ≅ △ING, what is true about the sides?

• SP ≅ IN ; SR = NG ; PR ≅ IG

• SR ≅ IG; SP ≅ NG; PR ≅ IN

• SP ≅ IN ; SR ≅ IG ; PR ≅ NG

• PR ≅ NG; RS ≅ IN; SP ≅ IG

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.SRT.B.5

If two shapes are congruent, then...

• Sides are Congruent and

  Angles are Proportional

• Sides are Proportional and

  Angles are Proportional

• Sides are Congruent and

  Angles are Congruent

• Sides are Proportional and

  Angles are Congruent

Tags

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

ABC is congruent to DEF

If m<CBA = 50⁰ and AB = 3.2,

What is m<FED and the length of DE?

• Not enough information to know

• m<FED = 50⁰; DE = 1.6

• m<FED = 50⁰ ; DE = 3.2

• m<FED = 100⁰; DE = 6.4

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.5

In the figure below ▵ABC ⩭ ▵KLJ. Determine the perimeter of ▵KLJ

• 65

• 73

• 55

• 84

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

▵XYZ is congruent to ▵X’Y’Z’, only if m<Y’Z’X’ is equal to what value?

• 40⁰

• 60⁰

• 80⁰

• 160⁰

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

ΔABC ≅ ΔDEF

If m<BAC = 105° and CB = 5 units, then..

m<EDF = __________ and FE = ________ ?

• m<EDF = 105° ; FE = 5

• m<EDF = 105° ; FE = 2

• m<EDF = 210° ; FE = 10

• m<EDF = 75° ; FE = 5

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

ΔKHA ≅ ΔLED. What is true about the corresponding sides?

• KA ≅ LE; KH ≅ LD; HA ≅ ED

• KH ≅ LD; KA ≅ LE; HA ≅ ED

• KH ≅ LE; KA ≅ LD; HA ≅ ED

• HA ≅ LE; KA ≅ LD; KH ≅ ED

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8