Essentials of Geometry
Reasoning and Proof
Parallel and Perpendicular Lines
Congruent Triangles
Relationships within Triangles
100
The intersection of two lines is a _____________.
point
100
What is the conditional of the following statement? "When it is raining, there are clouds in the sky".
If it is raining, then there are clouds in the sky.
100
Line 1 and Line 2 are parallel lines. The slope of line 1 is -5. What is the slope of line 2?
-5
100
List the 4 ways that triangles can be classified according to their angles.
Acute, right, obtuse, equilangular
100
The length of a midsegment of a triangle is 10. What is the length of the triangle's third side.
20
200
The intersection of two planes is a _______________.
line
200
Write the biconditional of the following. "Perpendicular lines intersect to form right angles".
Lines are perpendicular if and only if they form right angles.
200
Given line y = 4x + 7 and the line y = -1/4 x - 7, select the most accurate statement. a. the lines are parallel b. the lines have the same y-intercept c. the lines are perpendicular
c. the lines are pependicular
200
List the 3 ways that triangles can be classified according to their sides.
scalene, isosceles, and equilateral
200
Line CP is the perpendicular bisector of segment AB. The length of CA is 42 inches. What is the length of BC?
42 inches
300
The point B lies between points A and C. AC is 20 and AB is 12. What is BC?
8
300
What is the function (linear equation) that describes the line that contains the two points? (0, 1) and (5, 11)
y = 2x + 1
300
Line 1 and line 2 are parallel. Line 3 is a transversal. Angles A and B are consecutive interior angles. What is the sum of the measures of angles A and B?
180 degrees (they are supplementary)
300
Triangle ABC and DEF are congruent. Angle BAC is 30 degrees. Angle EFD measures 50 degrees. What is the measure of angle ABC? Classify the triangle according to its angle measures.
100 degrees, obtuse
300
The concurrency of the perpendicular bisectors of a triangle is equidistant from the__________________of the triangle.
vertices
400
What is the midpoint of (2, 10) and (4, 8)?
(3, 9)
400
Angle ABC and angle CBD are adjacent angles. the measure of angle ABC is represented by 2x + 1 and angle CBD is represented by 2x + 5. The measure of angle ABD is 56 degrees. What is the value of x.
12.5
400
Write the equation of a lines that is parallel to y = 5x -2 and goes through point (1, 9)
y = 5x + 4
400
Triangle ABC is congruent to triangle DEF. Angles A, C, D, and F measure 30 degrees each. Classify the triangles by their sides and angles.
isosceles and obtuse
400
The concurrency of the angle bisectors is equidistant from the ___________________of the triangle.
sides
500
What is length of the segment with the following endpoints? (5, -3) and (2, -7)
5
500
Line m and line n intersect for form four angles. Two of the vertical angles are represented by the following expressions 3x + 10 and 2x + 16. What is the measure of one of the vertical angles?
28 degrees
500
Write the equation of a line that is perpendicular to the line y = 2x + 6 and contains point (8, -2).
y = -1/2 x + 2
500
In triangle XYZ, angles X and Y each measure 60 degrees. The expression for angle Z is 5x - 40. What is the value of x.
20
500
ABC and CBD are adjacent angles. Ray BC is an angle bisector. Angle ABC is represented by 7x. Angle CBD is represented by 3x + 16. What is the measure of angle ABD?
56 degrees
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