Download Geometry Key Assignment 1 1 #1 - a) What is the intersection of

Geometry Key Assignment 1
#1 a) What is the intersection of planes O and P?
b) What is the intersection of lines 𝐵𝐷 and 𝐶𝐹 ?
c) Name a ray on plane O making sure to include the correct arrow notations.
d) Name a point on plane O that is coplanar to point F and point A.
e) Name 3 points that determine plane P.
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Geometry Key Assignment 1
#2 – Solve for the following measures:
a) J is a point on 𝑃𝐺 with PJ = 12 cm and PG = 20 cm. Please find JG: ___________
b) Point L is the midpoint of 𝐹𝑌 with measures as shown. Please find FY:_________
3x + 5
F
4x – 7
L
Y
c) If 𝑚∠𝐹𝐿𝐷 = 148∘ please find m∠FLO: _______________
#3 – Fill in the blanks.
a) If two angles form a linear pair, then they are ___________________________.
b) If the sum of two angles = 90°, then they are _________________________.
c) Vertical angles are formed by ___________ lines intersecting each other.
d) Three ______________ points are required to determine a plane.
e) _______ points define a line.
f)
∠5 forms a linear pair with ∠_________ 2and a vertical angle with ∠ _______.
Geometry Key Assignment 1
#4 – Please find the angle measures:
8
38°
7
4
a) m∠4=
b) m∠7=
c) m∠8=
#5 – Please find the angle measures:
a) m∠ACM =
b) m∠ACT =
c) m∠TCH =
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Geometry Key Assignment 1
#6 – Please name a pair of:
a) Vertical angles: ___________________
b) Corresponding angles: ___________________
c) Alternate Interior angles: ___________________
d) Alternate Exterior angles: ___________________
e) Same-side Interior angles: ___________________
#7 – Please solve for the following angle measures:
a) m∠9=________________
b) m∠10=________________
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Geometry Key Assignment 1
#8 – Please solve for the following angle measures:
a) m∠1=___________
b) m∠12=____________
#9 – Circle the lines which are parallel.
Circle the true statement:
a) a║b
c║d
b)
e║f
h║g
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c)
j║k
m║n
Geometry Key Assignment 1
#10 – Given △ 𝑃𝐼𝐺 ≅ △ 𝑅𝐴𝑇 please complete the statements:
a) ∠I ≅ _____________
b) 𝑇𝐴 ≅ __________
c) m∠ G = _________
d) △ 𝐴𝑅𝑇 ≅ __________
#11 – Given the triangles in the figures and keeping in mind SSS , SAS, ASA, AAS,
and HL, which theorem or postulate can be used to prove the triangles congruent.
C is the midpoint of 𝐴𝐹
a) ______________
b)__________________
c)___________________
C is the midpoint of 𝐴𝑀
d) __________________
e) ________________________
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Geometry Key Assignment 1
#11 – Please complete the similarity statements and write the similarity ratio:
a) △ 𝐴𝐵𝐶 ≈ △ ________
b) The similarity ratio is ______: _______
c) 𝐴𝐵𝐶𝐷 ≈ ________________
d) The similarity ratio is ______: _______
#12 – Given the diagrams, choose AA~, SSS~, SAS~, or Not ~.
a) __________________
b)____________________
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c)____________________
Geometry Key Assignment 1
#13 – Fill in the blanks.
a) CPCTC stands for __________________ Parts of Congruent Triangles are
___________________.
b) If two polygons are similar, their corresponding angles are ________________ and
their corresponding sides are ___________________.
c) The similarity ratio of two polygons is 2:5.
a. The ratio of their perimeters is _______:_________.
b. The ratio of their areas is _______:_________.
c. The ratio of their volumes is _______:_________.
#14 – Solve.
a) The ratio of the areas of two similar polygons is 4:9. If the length of one side of the
larger figure is 45 cm, what is the length of the corresponding side of the smaller
polygon?
b) Beowulf can see the top of Grendel’s ugly head reflected in a vat of mead that is
15 feet away from him and 39 feet away from Grendel. If Beowulf is 6 feet tall,
how tall is Grendel?
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