50+ geometry worksheets for 9th Grade on Quizizz | Free & Printable - Free Printable

Let’s go through each question one by one.

---

Question 1:

We are given:
> $\overline{XY} \cong \overline{TZ}$
> $\overline{TZ} \cong \overline{XY}$

This is switching the order of the congruent segments. The property that says “if A ≅ B, then B ≅ A” is called the Symmetric Property of Congruence.

Note: It’s about *congruence* (for shapes or segments), not equality (for numbers). So we pick the one with “Congruence”.

✔ Correct answer: D. Symmetric Property of Congruence

---

Question 2:

We are given:
> $3(x + 2) = 15$
> $3x + 6 = 15$

Here, the 3 was multiplied to both x and 2 inside the parentheses. That’s the Distributive Property: $a(b + c) = ab + ac$

✔ Correct answer: C. Distributive Property

---

Question 3:

We are given:
> $\angle A \cong \angle B$ and $\angle B \cong \angle C$
> $\angle A \cong \angle C$

This is like saying: if A equals B, and B equals C, then A equals C — but for angles using congruence. That’s the Transitive Property of Congruence.

✔ Correct answer: B. Transitive Property of Congruence

---

Question 4:

We are given:
> $\overline{ST} \cong \overline{ST}$
> $\overline{ST} \cong \overline{ST}$

Wait — it looks identical? Actually, looking closely, the second line is probably meant to be the same as the first — so it’s saying a segment is congruent to itself. That’s the Reflexive Property of Congruence.

Even though it’s written twice, the idea is: any geometric figure is congruent to itself.

✔ Correct answer: A. Reflexive Property of Congruence

---

Question 5:

The image shows a diagram with two angles that add up to 90°, and Statement #1 likely says something like “∠1 and ∠2 are complementary.”

The reason would be: Definition of Complementary Angles — because complementary angles are two angles whose measures add up to 90°.

✔ Correct answer: A. Definition of Complementary Angles

---

Final Answers:

1. D
2. C
3. B
4. A
5. A

──────────────────────────────────────

Final Answer:
1. D
2. C
3. B
4. A
5. A