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

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Triangles A B C and A double-prime B double-prime C double-prime connect at point C. Triangle A B C is rotated and then made smaller to form triangle A double-prime B double-prime C double-prime.

a rotation and a reflection

a translation and a dilation

a reflection and a dilation

a dilation and a rotation

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is an altitude in triangle WXZ.

XWZ is an obtuse angle.

XWZ is a right angle.

XWZ is congruent to WXY.

XWZ is congruent to XZW.

Which best explains why all equilateral triangles are similar?

All equilateral triangles can be mapped onto each other using dilations.

All equilateral triangles can be mapped onto each other using rigid transformations.

All equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations.

All equilateral triangles are congruent and therefore similar, with side lengths in a 1:1 ratio.

Triangle L M N is cut by line segment O P. Line segment O P goes from side M L to side M N. The length of O L is 14, the length of O M is 28, the length of M P is y, and the length of P N is 18.

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 and the length of T Q is 16. The length of R T is x.

12 units

15 units

20 units

25 units

and are midsegments of ΔWXY.

11.57 cm

12.22 cm

12.46 cm

14.50 cm

Consider the two triangles.

Option

Triangles R S T and V U T are connected at point T. Angles R S T and V U T are right angles. The length of side R S is 12 and the length of side S T is 16. The length of side T U is 8 and the length of U V is 6.

StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction and angle S is-congruent-to angle U

StartFraction R S Over V U EndFraction = StartFraction S T Over U T EndFraction = StartFraction R T Over V T EndFraction

StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction and angle S is-congruent-to angle U

StartFraction R S Over V U EndFraction = StartFraction T U Over T S EndFraction = StartFraction R T Over V T 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 T Q is 16 and the length of R Q is 20.

9 units

12 units

15 units

18 units

Read the proof.Given: AB ∥ DEProve: △ACB ~ △DCE

AA similarity theorem.

SSS similarity theorem.

AAS similarity theorem.

ASA similarity theorem.

Consider △RST and △RYX.

StartFraction R Y Over Y S EndFraction = StartFraction R X Over X T EndFraction = StartFraction X Y Over T S EndFraction

StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction X Y Over T S EndFraction

StartFraction R Y Over R S EndFraction = StartFraction R X Over R T EndFraction = StartFraction R S Over R Y EndFraction

StartFraction R Y Over R X EndFraction = StartFraction R S Over R T EndFraction = StartFraction X Y Over T S EndFraction

Triangle N T M is shown. Angle N T M is a right angle. An altitude is drawn from point T to point U on side N M to form a right angle. The length of N T is y, the length of T M is 6, the length of N U is 9, and the length of U M is 3.

units

Triangle R Q S is cut by line segment T V. Line segment T V goes from side Q R to side R S. The length of R V is x + 10, the length of V S is x, the length of R T is x + 4, and the length of T Q is x minus 3.