Geometry Semester One

Which is true about this triangle?

• LN>NM>LM

• NM>LM>LN

• LM>NM>LN

• LN>LM>NM

Answer explanation

Largest side is across/opposite the largest angles, smallest side is opposite the smallest angle

In the diagram, segment RS and RT intersect line DE at points T and S. 

Which of these statements is true about triangle RST?

• Equilateral

• Scalene

• Right

• Isosceles

Answer explanation

Exterior and interior angles are supplementary (add up to 180 degrees)

If you know that Point M is the midpoint of  TS and UR, which of the triangle congruence methods could be used to prove the triangles are congruent?

• SSS

• SAS

• ASA

• AAA

Answer explanation

If M is the midpoint, then the two sides of the lines are congruent (TM and MS and UM and MR). Vertical angles are also congruent.

Which of the triangle congruence postulates could prove triangles RSU and TSU congruent ?

• SSA

• SAS

• AAA

• None of these

Find the measure of A, after you solve for x.

• 11

• 58

• 63

• 15

Answer explanation

Set all the angles equal to 180 and solve for x.

Find the length of QR if triangle QRS is an isosceles with SR = QR

• -2

• 39

• 16

• 3

Two points are shown on the graph below. What are the coordinates of the midpoint?

• (2,2)

• (1, 1.5)

• (5, 2)

• (0,4)

Answer explanation

Add x values and divide by 2, add y values and divide by 2

Trapezoid ABCD is shown on the graph. If the trapezoid is rotated 180 degrees about the origin what are the coordinates of D"?

• (-2, 6)

• (6,2)

• (-6,2)

• (-2, -6)

Answer explanation

180 degree rotation, coordinates stay in the same location but take the opposite value.

Trapezoid ABCD is shown on the graph. If the trapezoid is reflected across the y-axis what are the coordinates of D"?

• (2, 6)

• (6,2)

• (-6,-2)

• (-2, -6)

Answer explanation

Reflect across y-axis, rule x,y becomes -x,y

In the diagram, which transformation could have been applied to▵ABC to create ▵A'B'C '

• reflection across the y-axis

• rotation 180° about the origin

• translation of (x, y) to (x + 7, y)

• translation of (x, y) to (x, y + 7)

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