Worksheets5-5: Congruent Shapes
Total questions: 15
Worksheet time: 4hrs 45mins
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
ΔABD ≅ ΔABC
What is the length of AD?
10
11
14
15
In the figure below, ▵GFE ⩭ ▵DCB.
Determine the perimeter of ▵GFE
63
53
58
68
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
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
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
In the figure below ▵ABC ⩭ ▵KLJ. Determine the perimeter of ▵KLJ
65
73
55
84
▵XYZ is congruent to ▵X’Y’Z’, only if m<Y’Z’X’ is equal to what value?
40⁰
60⁰
80⁰
160⁰
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
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
▵ABC ⩭ ▵KLJ. What is the
perimeter of ▵ABC?
11
24
71
58
If ▵ABC ⩭ ▵IHG, what is the
length of AB?
12
8
5
20
If ▵ABC ⩭ ▵RQP, what is
the length of QP?
3
2
6
13
In the figure below, ▵ABC ⩭ ▵KLJ. Determine the length of AB.
19
4
24
9
In the figure above, ▵GFE ⩭ ▵DCB. Determine the perimeter of ▵GFE
15
98
50
63
