Exam: 02.08 Transformations and Congruence Review and Practice Test (Right Answers ) Goodluck!!
Triangle HAM is translated using the rule (x, y) → (x + 6, y) to create triangle H′A′M′. If a line segment is drawn from point H to point H′ and from point A to point A′, which statement would best describe the line segments drawn? Answer- They are parallel and congruent.
Rectangle J′K′L′M′ shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV. Answer- (16, 7)
The figure below shows a quadrilateral ABCD. Sides AB and DC are equal and parallel:A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram:Side AB is parallel to side DC, so the alternate interior angles, angle ABD and angle CDB, are congruent. Side AB is equal to side DC, and DB is the side
common to triangles ABD and BCD. Therefore, the triangles ABD and BCD are congruent by SAS postulate. By CPCTC, angles DBC and ADB are congruent and sides AD and BC are congruent. Angle DBC and angle ADB ________. Therefore, AD is parallel and equal to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel.Which phrase best completes the student's proof? Answer- form a pair of alternate interior angles that are congruent
If quadrilateral PQRS is a rectangle, then which of the following is true? Answer- Line Ps congruent Line Qr
Beth is planning a playground and has decided to place the swings in such a way that they are the same distance from the jungle gym and the monkey bars. If Beth places the swings at point D, how could she prove that point D is equidistant from the jungle gym and monkey bars? Answer- If Line Ac ≅ Line Bc , then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects
Ebony is cutting dough for pastries in her bakery. She needs all the pieces to be congruent triangles and has ensured that ≅ and ∠MON ≅ ∠GEF. What would Ebony
need to compare in order to make sure the triangles are congruent by ASA? Answer- ∠EFG and ∠ONM
If triangle MNO is congruent to triangle PQR, which statement is not true? Answer- Line MN ≅ Line QR
Which series of transformations will not map figure Q onto itself? Answer- (x + 0 y − 4), reflection over y = x − 1
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