Finals Practice Part 2

In the diagram below, l ∥ m and n ∥ o. Praveen is asked to prove ∠3 ≅∠14. Which proof is NOT valid?

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The figure shows a tessellation of a single quadrilateral.

Which of the following best describes the relationship between ABCD and EFGH?

• The two polygons are congruent and result from a reflection.

• The two polygons are similar, but not congruent, and result from a rotation.

• The two polygons are congruent and result from a translation.

• The two polygons are similar, but not congruent, and result from a translation.

Calley used geometry software to create a transformation of a polygon. In the transformation, she moved a triangle counterclockwise along a circular arc with the origin as the center and through an angle of 90 degrees. Which type of transformation did Calley create?

• dilation

• rotation

• translation

• reflection

Look at the diagram of the quilt below.

If the highlighted triangle is rotated clockwise about the center of the quilt, what is the angle of rotation that maps it onto the adjacent triangle?

• 22.5°

• 45°

• 60°

• 72°

Look at parallelogram EFGH shown below.

What is its perimeter?

• 20

• 24

• 28

• 35

Rectangle DEFG is graphed on the coordinate plane below.

It is rotated 270˚ counterclockwise about the origin to result in rectangle D'E'F'G'. Which correctly lists the coordinates of the vertices of rectangle D'E'F'G'?

• D′(−8, 2), E′(−8, −3), F ′(−5, −3), G′(−5, 2)

• D′(2, −8), E′(−3, −8), F ′(−3, −5), G′(2, −5)

• D′(8, 2), E′(8, −3), F ′(5, −3), G′(5, 2)

• D′(−8, −2), E′(−8, 3), F ′(−5, 3), G′(−5, −2)

△ ABC is graphed on the coordinate plane as shown below.

Jalissa reflects this triangle across the y-axis to create △A'B'C'. What are the coordinates of B'?

• (−4, −3)

• (3, −4)

• (4, 3)

• (−4, 3)

Select the pair of triangles for which it is possible to demonstrate congruence.

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Look at the triangles shown below.
 $\overline{AX}$  is parallel to  $\overline{FP}$   and J is the midpoint of  $\overline{AP}$ . Which of these can be used to prove that △XJA≅△FJP? 

• side-side-side congruency postulate

• side-angle-side congruency postulate

• side-side-angle congruency postulate

• angle-side-angle congruency postulate

Look at the triangle shown below. 
If ∠R≅∠U and  $\overline{RS\ }\cong\overline{UT}$   , which of these can be used to prove that △ RQS ≅△ UQT?

• If ∠R≅∠U, then △ SQT is isosceles and SQ¯≅¯TQ, which proves that △ RQS ≅△ UQT by the angle-angle-side congruency postulate. 

• If ∠R≅∠U, then △ RQU is isosceles and RQ¯≅¯UQ , which proves that △ RQS ≅ △ UQT by the side-angle-side congruency postulate.

• If ∠R≅∠U , then △ SQT is isosceles and SQ¯≅¯TQ , which proves that △ RQS ≅△ UQT by the side-angle-side congruency postulate. 

• If ∠R≅∠U , then △ RQU is isosceles and RQ¯≅¯UQ , which proves that △ RQS ≅△ UQT by the angle-angle-side congruency postulate.