Statement 1: WXYZ is a kite
Reason 1: Given
Statement 2: WX = XY and WZ = YZ
Reason 2: Definition of a kite
Statement 3: XZ = XZ
Reason 3: Reflexive property
Statement 4: Triangle WXZ = Triangle YXZ
Reason 4: SSS Congruence
Statement 5: Angle W = Angle Y
Reason 5: CPCTC
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Extra notes:
* A kite is a quadrilateral that has two pairs of adjacent congruent sides. In this case, WX and XY is one pair of congruent sides that are adjacent (ie next to each other). So that's why WX = XY. Similarly, WZ = YZ is the second pair of adjacent congruent sides.
* Draw in a segment from point X to point Z to help form two triangles. The two triangles are congruent as proven in statement 4. One triangle is a reflection over the line XZ to get the other triangle.
* Due to this reflection, angle W reflects over line XZ to get angle Y. Proving that angle W = angle Y
* SSS means "side side side", basically saying "you use three pairs of congruent sides to prove two triangles congruent".
* The acronym CPCTC stands for "corresponding parts of congruent triangles are congruent"
Answer:
5 out of 7.
Step-by-step explanation:
There are seven days in one week. They are asking what is the probability of the person chosen not being born in a Tuesday or Wednesday. There are five other days, so there are five other options.
I hope I helped you!
Answer: A, -2 and 4
Step-by-step explanation: cause it it you’re welcome
Answer:
v≤-12, and the graph is left 12
Step-by-step explanation:
Allison can make 4 fruit parfaits.
Since one parfait requires 1/8 cup of yogurt, add:
1/8 + 1/8 + 1/8 + 1/8
They all share a common denominator, so:
1/8 + 1/8 +1/8 + 1/8 = 4/8
Simplify your answer (divide numerator and denominator by the common factor of 2) :
4/8 = 1/2
1/2 represents the total amount of cups of yogurt used. Since it took adding 1/8 four times that represents 4 parfaits.
