Unit Test — Unit test Answers

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Which best explains whether or not all isosceles triangles are similar?

A
All isosceles triangles are similar. Two angles within each triangle are always congruent.
B
All isosceles triangles are similar. The triangle sum theorem states that the sum of the angles in a triangle is 180°. Therefore, the third angle can always be determined.
C
All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
D
All isosceles triangles are not similar. Given only the vertex angle of an isosceles triangle, there is not enough information to determine the measures of the base angles. Therefore, it is not possible to determine if the base angles of one isosceles triangle are congruent to the base angles of another.
6

Triangle QRS is to be dilated using the rule .

Question illustration
A
2 units
B
4 units
C
6 units
D
8 units
8

Line segment JL is an altitude in triangle JKM.

Question illustration
J
JKM is a right triangle because KL + LM = 15.3.
J
JKM is a right triangle because KL + LM = 18.2.
J
JKM is not a right triangle because KL + LM ≠ 15.3.
J
JKM is not a right triangle because KL + LM ≠ 18.2.
10

The statements below can be used to prove that the triangles are similar. ? △ABC ~ △XYZ by the SSS similarity theorem.Which mathematical statement is missing?

Question illustration
A
StartFraction Y Z Over B C = StartFraction 6 Over 3 EndFraction
Option A
B
∠B ≅ ∠Y
C
StartFraction B C Over Y Z EndFraction = StartFraction 6 Over 3 EndFraction
Option C
D
∠B ≅ ∠Z
12

Quadrilateral FGHJ is dilated according to the ruleDO,(x,y) to create the image quadrilateral F'G'H'J', which is not shown.

Question illustration
A
(-2,-4)
B
(-2,-6)
C
(Negative nine-halves, negative 4)
Option C
D
(Negative nine-halves, negative 9)
Option D
15

△ABC is an isosceles triangle with legs AB and AC. △AYX is also an isosceles triangle with legs AY and AX.

Question illustration
A
∠A ≅ ∠A; reflexive property
B
∠X ≅ ∠X; reflexive property
C
∠ABC ≅ ∠AYX; corresponding angles of similar triangles
D
∠ABC ≅ ∠AXY; corresponding angles of similar triangles

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