Unit Test — Unit test Answers

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21
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Triangles A B C and X Y Z is congruent. Triangle X Y Z is slightly higher and to the right of triangle A B C. Triangle A B C is reflected across a line to form triangle X Y Z.

Question illustration
a
a reflection across the line containing AB
a
a reflection across the line containing AC
a
a rotation about point A
a
a rotation about point B
22
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Which shows two triangles that are congruent by ASA?

Question illustration
A
2 right triangles are connected at one side. The triangles have 2 congruent sides and one congruent angle.
Option A
B
2 triangles are connected at one side. The triangles also have 2 congruent angles. The first triangle can be rotated to form the second triangle.
Option B
C
2 triangles have 3 congruent angles. The second triangle is to the right of the first triangle.
Option C
D
2 triangles have 2 congruent sides and 1 congruent angles. The first triangle is reflected across a line and then rotated to form the second triangle.
Option D
24

Which relationships in the diagram are true? Select three options.

A
△ACF ≅ △ECF by HL
B
ΔCBF ≅ ΔCDF by SSS
C
ΔBFA ≅ ΔDFE by SAS
D
ΔCFD ≅ ΔEFD by SSS
E
ΔCBE ≅ ΔCDA by HL
25

If bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three options.

Question illustration
A
m∠ABC = 125° and AB ≅ DB
B
ΔACD is isosceles with base AD
C
ΔABD is isosceles with base AD
D
CD = 52 cm
E
AB = 29 cm

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