Geometry Final Exam Review Flashcards

Flashcards based on Geometry Final Exam Review (2022-2023)

ABCD is a rectangle. Trapezoid AEFB is congruent to trapezoid CFED. G is the midpoint of segment EF. Select all the ways we could describe the rigid transformation that takes AEFB to CFED.

Reflect AEFB across line EF. Rotate AEFB 180 degrees counterclockwise around point G. Rotate AEFB 180 degrees clockwise around point G.

Select all statements that are true about the triangles when considering triangles ABC and DCB.

Triangles ABC and BCD are congruent by the Side-Angle-Side Triangle Congruence Theorem. Triangles ABC and DCB are congruent by the Side-Side-Side Triangle Congruence Theorem.

Which equation can Jada use to find the value of x, the angle made between the rope and the ground, if the rope is tied from the top of a 3-meter pole to a stake 4 meters away from the base?

tan(x) = 3/4

Select all equations that represent lines perpendicular to line m, where line m is represented by the equation y + 2 = (-3/2)(x + 4).

y = (2/3)x + 4, 9y + 1 = 6(x + 5)

Describe a sequence of transformations that take isosceles trapezoid T to its image T'.

Rotate T 90 degrees clockwise using point D. Reflect T over DG.

Prove segment AM is congruent to segment CM in parallelogram ABCD where M is the midpoint of BD.

Opposite sides of a parallelogram are congruent. Alternate interior angles are equal. Triangles ABM and CDM are congruent by ASA. AM = CM because corresponding parts of congruent triangles are congruent.

Olive oil has a density of 0.92 grams per cubic centimeter. What is the volume of the smallest container that holds 460 grams of oil?

C. 500 cubic centimeters

In a right triangle with one angle of 25 degrees and one side length of 35, find the missing angle α and side c.

α ≈ 31 degrees, c ≈ 40.8

Triangle ABC can be taken to triangle A'B'C' using rigid motions and a dilation. Select all the equations that are true.

AC = A'C', AB/A'B' = AC/A'C'

Which triangles are similar to triangle AED in the given rectangle with right triangles inside? Explain your reasoning.

Triangles EBA, AFE, EFD, and DCE are similar to triangle AED because they have the same angles (AA similarity).

The length of segment EF is 8 units and the length of segment ED is 10 units. Find the length of segment FA. Explain your reasoning.

FA = 64/6 ≈ 10.67 because EF/AE = FE/FA and 8/6 = 8/FA.

A cylindrical cup is 8 centimeters in height and holds 480 cubic centimeters of water. What is the radius of the cup, rounded to the nearest tenth?

radius ≈ 4.4 cm because V = πr^2h, so 480 = πr^2(8), and r ≈ 4.4.