C882 EDUC 5102
Geometry for Secondary
Mathematics Teaching
FA REVIEW
©WGU 2024/2025
,1. Which of the following properties is NOT a characteristic of
Euclidean geometry?
a) Parallel lines never intersect
b) The sum of the angles in a triangle is 180 degrees
c) There are multiple parallel lines through a point not on a line
d) The shortest distance between two points is a straight line
Answer: c
Rationale: In Euclidean geometry, through a point not on a line,
exactly one line can be drawn parallel to the given line.
2. What type of transformation is described as a flip over a line in
the plane?
a) Translation
b) Rotation
c) Reflection
d) Dilation
Answer: c
Rationale: A reflection is a transformation that produces a
mirror image of a shape over a specific line.
©WGU 2024/2025
, 3. Which theorem provides a way to determine if two triangles
are congruent by showing that two angles and one side are equal?
a) SAS (Side-Angle-Side)
b) ASA (Angle-Side-Angle)
c) AAS (Angle-Angle-Side)
d) SSS (Side-Side-Side)
Answer: b
Rationale: The ASA theorem states that if two angles and the
side between them in one triangle are equal to two angles and the
corresponding side in another triangle, the triangles are congruent.
4. In coordinate geometry, what is the distance between points (3,
4) and (7, 1)?
a) 5
b) √13
c) √25
d) 4
Answer: a
Rationale: Distance formula: √[(x2 - x1)² + (y2 - y1)²] = √[(7-3)²
+ (1-4)²] = √[16 + 9] = √25 = 5.
©WGU 2024/2025
Geometry for Secondary
Mathematics Teaching
FA REVIEW
©WGU 2024/2025
,1. Which of the following properties is NOT a characteristic of
Euclidean geometry?
a) Parallel lines never intersect
b) The sum of the angles in a triangle is 180 degrees
c) There are multiple parallel lines through a point not on a line
d) The shortest distance between two points is a straight line
Answer: c
Rationale: In Euclidean geometry, through a point not on a line,
exactly one line can be drawn parallel to the given line.
2. What type of transformation is described as a flip over a line in
the plane?
a) Translation
b) Rotation
c) Reflection
d) Dilation
Answer: c
Rationale: A reflection is a transformation that produces a
mirror image of a shape over a specific line.
©WGU 2024/2025
, 3. Which theorem provides a way to determine if two triangles
are congruent by showing that two angles and one side are equal?
a) SAS (Side-Angle-Side)
b) ASA (Angle-Side-Angle)
c) AAS (Angle-Angle-Side)
d) SSS (Side-Side-Side)
Answer: b
Rationale: The ASA theorem states that if two angles and the
side between them in one triangle are equal to two angles and the
corresponding side in another triangle, the triangles are congruent.
4. In coordinate geometry, what is the distance between points (3,
4) and (7, 1)?
a) 5
b) √13
c) √25
d) 4
Answer: a
Rationale: Distance formula: √[(x2 - x1)² + (y2 - y1)²] = √[(7-3)²
+ (1-4)²] = √[16 + 9] = √25 = 5.
©WGU 2024/2025
