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Select the measures that could be the three side lengths of a right triangle.
11, 60, 61 (11^2 + 60^2 =61^2)
What values for x and y make ΔABC ≅ ΔFDE?
5x - 4 = 21: x = 5 ; 4y = 56: y = 14
Given: ∠W ≅ ∠Y; XZ bisects ∠WXY. Which postulate/theorem is sufficient to prove ΔWXZ ≅ ΔYXZ?
AAS (Given: ∠W ≅ ∠Y, ∠WXZ ≅ ∠YXZ because bisected, XZ = XZ by Reflexive)
Given: E is the midpoint of BD and AB || CD. Which postulate/theorem is sufficient to prove ΔABE ≅ ΔCDE?
ASA (mark vertical & alt. interior angles, then BE = ED because bisected)
Two sides of a triangle measure 29 and 56 inches. What is the possible range of values for the third side of the triangle?
Max: 29 + 56 = 85 ; Min: 56 - 29 = 27 ; 27 < x < 85
Identify the construction.
b) perpendicular bisector of XY
Given A (7, -5) and B (16, 7). Find the slope of segment AB.
m = rise/run = 12/9 = 4/3
Find the midpoint of the segment with endpoints (-5, -4) and (-8, 3). Write your ordered pair with fractions in simplest form, if neccesary.
midpoint((-5, -4),(-8,3)) = (-13/2 , -1/2)
Given lines m and n are parallel, solve for x.
(6x - 9) + (2x - 19) = 180 ; x = 26
Identify the congruence theorem being used to prove the triangles are congruent.
ASA
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