Answers DSD-CR-Secondary Math II-Term 4Triangle Similarity: AA

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Rectangle ABCD was dilated to create rectangle A'B'C'D' using point R as the center of dilation.

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

All isosceles triangles are similar. Two angles within each triangle are always congruent.

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.

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.

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.

Triangle A B C is cut by line segment F G. Line segment F G goes from side A B to side A C. The length of B F is x + 6, the length of F A is x + 1, the length of C G is x + 3, and the length of G A is x minus 1.

Which graph shows a dilation?

On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 2, 0), (negative 2, 1), and (0, 0). The larger triangle has points (negative 3, 0), (negative 3, 4), and (2, 0).

On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 2, 0), (negative 2, 2), and (1, 0). The larger triangle has points (negative 3, 0), (negative 3, 4), and (2, 0).

On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 1, 0), (negative 1, 1), and (2, 0). The larger triangle has points (negative 2, 0), (negative 2, 3), and (4, 0).

On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 1, 0), (negative 1, 2), and (3, 0). The larger triangle has points (negative 2, 0), (negative 2, 3), and (4, 0).

Which statements are true? Select two options.

∠R corresponds to ∠P'QQ'.

∠PQR corresponds to ∠QPQ'.

Segment QQ' is parallel to segment PP'.

Side RQ corresponds to side QQ'.

△PQR ≅ △P'Q'Q

Triangles A B C and A double-prime B double-prime C double-prime are shown. Triangle A double-prime B double-prime C double-prime is smaller and to the right of triangle A B C.

a reflection and a dilation

a rotation and a dilation

a translation and a dilation

a reflection and a translation

Triangle ABC will be dilated according to the rule(x,y), where point F is the center of dilation.

(-8,-4)

(-2,-1)

(0, 0)

(1, 0)

Which statements are correct? Select three options.

△BCD is similar to △BSR.

StartFraction B R Over R D EndFraction = StartFraction B S Over S C EndFraction

If the ratio of BR to BD is , then it is possible that BS = 6 and BC = 3.

(BR)(SC) = (RD)(BS)

StartFraction B R Over R S EndFraction = StartFraction B S Over S C EndFraction

Triangle S R Q is shown. Angle S R Q is a right angle. An altitude is drawn from point R to point T on side S Q to form a right angle. The length of S T is 9, the length of T Q is 16, and the length of R Q is x.

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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?