Rotations — Unit test Answers

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side at point M.What is the length of ?

In triangle QRS, QR = 8 and RS = 5. Which expresses all possible lengths of side QS?

Triangles A B C and D E F are shown. Triangle A B C is rotated to the left about point A and then is shifted up and to the right to form triangle D E F.

Which type of triangle will always have a perpendicular bisector that is also an angle bisector?

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Triangle DEF is isosceles, where . Angle FDE is bisected by segment DG, creating angle GDE with a measure of 29°.

Which pair of triangles can be proven congruent by the HL theorem?

The proof that UX ≅ SV is shown.Given: △STU an equilateral triangle∠TXU ≅ ∠TVSProve: UX ≅ SVWhat is the missing statement in the proof?StatementReason1. ∠TXU ≅ ∠TVS1. given2. ∠STV ≅ ∠UTX2. reflex. prop.3. △STU is an equilateral triangle3. given4. ST ≅ UT4. sides of an equilat. △ are ≅5. ?5. AAS6. UX ≅ SV6. CPCTC

A line extends from a side of a triangle.

Triangle A B C is shown. Lines are drawn from each point to to the opposite side and intersect at point G. Line segments A D, B E, and C F are created.

A triangle has side lengths measuring 2x + 2 ft, x + 3 ft, and n ft.

Triangle ABC has the angle measures shown.

How can ΔABC be mapped to ΔXYZ?

Lines P S and W T are horizontal and parallel. Lines V R and Q R are diagonal and intersect lines P S and W T to form triangle X Y Z.

Which diagram shows possible angle measures of a triangle?