Congruency Statement
Angle Sums
More Angle Sums
Congruent Drawings
Justifications (drawing)
100
If ABCDE is congruent to KGLPR, this is the segment congruent to PL
What is segment CD (or DC)
100
The sum of the interior angles of a triangle
What is 180 degrees?
100
In triangle ABC, the measure of angle C if angle B is 43 degrees and angle A is 109 degrees
What is 28 degrees?
100
The segment that is congruent to PN
What is segment WP?
100
Why angle 1 is congruent with angle 3
What is the vertical angle theorem>
200
If triangle ABC is congruent to triangle RKM, this is the angle congruent to angle B
What is angle K?
200
The sum of the interior angles of a quadrilateral
What is 360 degrees?
200
The measure of angle D in quadrilateral ABCD if angle A is a right angle, angle C is 32 and angle B is 78 degrees
What is 160 degrees?
200
Two right angles in the drawing
What are angle WPI and angle NPI?
200
Why we know angle 2 and angle 3 add to 180
What is the Linear Pair Theorem?
300
If ABCD is congruent to LGPX and the length of segment GL is 4 cm this other segment is also 4cm
What is segment AB?
300
The sum of the interior angles of a nonagon
What is 1260 degrees (7 times 180)
300
In triangle ABC find the measure of angle B if angle C is 86 degrees and the measure of angle A and angle B are the same
What is 47 degrees? [(180-86)2]
300
The reflection of N over line y
What is W?
300
Given points M and R on circle P, why we know that the length of PM equals the length of PR.
What is the definition of a circle?
400
If PALS is congruent to ROEC, this angle is congruent to angle ECR
What is angle S? (same as angle LSP)
400
the sum of the interior angles of a 17 sided polygon
What is 2700 degrees? (15 * 180)
400
The measure of the smallest angle in triangle ABC if each angle's measure is: A = x+5 B = x-3 C = 2x-10
What is 44 degrees? (x = 47; 4x = 188) three angles are:52,44,84
400
The theorem that supports why the length of segment WI is the same measure as segment NI
What is the Perpendicular Bisector Theorem? (discussed in chapter 4)
400
Assuming we're told that M is the midpoint of segment PQ, the reason why we know that PM = MQ
What is the definition of a midpoint?
500
If AC is congruent to GF and BA is congruent to EG, this is the complete congruency statment for the two triangles
What is triangle BAC is congruent to triangle EGF
500
The angle measure of each angle of a regular decagon
What is 144 degrees? ( ( 8*180)/10)
500
The measure of the largest angle in a triangle whose angle measure are in the proportion 1:2:6
What is 120 degrees? ( 9x =180; x=20; three angles are 20, 40, and 120)
500
Where you could place point A on line y so that AN = AW and why that place would work.
What is absolutely anywhere at all on line y: all because of the Perpendicular Bisector Theorem!
500
If we know that PM = PR and that QM = PM, this is why we can state that PR = QM
What is the Transitive Property?
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