Answers DSD-CR-Secondary Math II-Term 4Right Triangle Similarity

Unit Test Answers

0 verified answers

Free Preview

In the diagram, .

WV and XY

WV and ZY

∠VZW ≅ ∠YZX

∠VWZ ≅ ∠YXZ

Free Preview

To prove that ΔAED ˜ ΔACB by SAS, Jose shows that .

Option

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.

Triangle A B C is cut by line segment M N. Line segment M N goes from side A B to side B C and cuts both sides into equal parts. The lengths of A M and M B are 88 centimeters, the lengths of C N and N B are 75 centimeters, and the length of A C is 116 centimeters.

58 cm

75 cm

88 cm

116 cm

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle.

ΔJKM

ΔMKL

ΔKML

ΔLJK

Points Q and R are midpoints of the sides of triangle ABC.

10 units

14 units

20 units

32 units

Line segment JL is an altitude in triangle JKM.

JKM is a right triangle because KL + LM = 15.3.

JKM is a right triangle because KL + LM = 18.2.

JKM is not a right triangle because KL + LM ≠ 15.3.

JKM is not a right triangle because KL + LM ≠ 18.2.

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

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?

StartFraction Y Z Over B C = StartFraction 6 Over 3 EndFraction

∠B ≅ ∠Y

StartFraction B C Over Y Z EndFraction = StartFraction 6 Over 3 EndFraction

∠B ≅ ∠Z

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.

12 units

15 units

20 units

24 units

Did you find these answers helpful?

Unit Test Answers

More from this Course

TRY EDGENUITY HACKS