Geometry Midterms

Natalie is playing with the pinwheel like the one shown in the picture above. Which degree of rotation would carry the pinwheel onto itself?

• 5°

• 125°

• 216°

• 225°

If ABCD is a parallelogram, which statement would prove a that ABCD is a rectangle?

• ∠ABC ≅ ∠CDA

• AC ≅ BD

• AC ⟂ BD

• ∠ABD ≅ ∠DBC

As shown in the diagram below, CD is a median of △ABC.

Which statement is always true?

• AD ≅ DB

• AC ≅ AD

• ∠ACD ≅ ∠CDB

• ∠BCD ≅ ∠ACD

Which transformation does not produce an image that is congruent to the original?

• A dilation of scale factor 1 centered at (2,4)

• A dilation of scale factor ½ centered at the origin

• A reflection over y = 4x

• A rotation of 270 degrees followed by a translation down 2

Tina wants to sew a piece of fabric into a scarf in the shape of an isosceles triangle, as shown in the accompanying diagram.

What are the values of x and y?

• x = 42 and y = 96

• x = 69 and y = 69

• x = 90 and y = 48

• x = 96 and y = 42

Given: △ABD, BC is the perpendicular bisector of AD Which statement cannot always be proven?

• AC ≅ DC

• BC ≅ CD

• ∠ACB ≅ ∠DCB

• △ABC ≅ △DBC

The triangles below are similar. Find the missing side length.

• x = 30

• x = 333

• x = 10.8

The triangles below are similar. Find x.

• x = 42

• x = 14

• x = 12

• x = 144

State if the triangles are congruent. If they are, state how you know.

• SAS

• ASA

• AAS

• Not Congruent

Describe the angle relationship.

• Same Side Interior

• Corresponding

• Alternate Interior

• Same Side Exterior